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2026-10-21 19:32:02 -04:00
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ISS (ZARYA)
1 25544U 98067A 26294.04791053 .00009575 00000+0 18188-3 0 9996
2 25544 51.6327 37.2623 0006759 289.5321 70.4938 15.48967427591263
POISK
1 36086U 09060A 26294.04791053 .00009575 00000+0 18188-3 0 9994
2 36086 51.6327 37.2623 0006759 289.5321 70.4938 15.48967427586484
CSS (TIANHE)
1 48274U 21035A 26294.25846467 .00030091 00000+0 35038-3 0 9995
2 48274 41.4687 276.1937 0002031 190.5094 169.5703 15.61026916312853
ISS (NAUKA)
1 49044U 21066A 26294.04791053 .00009575 00000+0 18188-3 0 9992
2 49044 51.6327 37.2623 0006759 289.5321 70.4938 15.48967427586527
FREGAT DEB
1 49271U 11037PF 26292.86068782 .00010680 00000+0 14889-1 0 9996
2 49271 51.6485 345.9436 0940020 202.8908 152.7302 12.45374907240561
CSS (WENTIAN)
1 53239U 22085A 26294.25846467 .00030091 00000+0 35038-3 0 9998
2 53239 41.4687 276.1937 0002031 190.5094 169.5703 15.61026916288234
CSS (MENGTIAN)
1 54216U 22143A 26294.25846467 .00030091 00000+0 35038-3 0 9999
2 54216 41.4687 276.1937 0002031 190.5094 169.5703 15.61026916308086
SZ-21 MODULE
1 66515U 25246C 26294.22802189 .00131005 13520-4 39861-3 0 9992
2 66515 41.4681 234.9893 0012983 217.8317 142.1621 15.91235557 53715
DUPLEX
1 66906U 98067XT 26294.21739889 .00087112 00000+0 60248-3 0 9998
2 66906 51.6239 8.2935 0005169 333.1895 26.8836 15.73765430 50420
KNACKSAT-2
1 67683U 98067YA 26294.23849680 .00126976 00000+0 84569-3 0 9998
2 67683 51.6243 14.4676 0009852 333.8147 26.2353 15.74432101 40030
GXIBA-1
1 67685U 98067YC 26294.23381720 .00198887 00000+0 98256-3 0 9994
2 67685 51.6190 10.6184 0011279 337.3691 22.6813 15.80874177 40080
UITMSAT-2
1 67686U 98067YD 26293.27790080 .03059098 11989-4 11168-2 0 9993
2 67686 51.6061 4.7855 0010166 350.7558 9.3273 16.23807297 40070
LEOPARD
1 67687U 98067YE 26294.22233459 .00713598 22293-3 18935-2 0 9999
2 67687 51.6147 9.8036 0013002 350.0326 10.0421 15.93899698 40011
HMU-SAT2
1 67688U 98067YF 26294.20241447 .00414307 77386-4 11821-2 0 9991
2 67688 51.6195 5.8753 0010290 344.6935 15.3759 15.92614788 40069
PROGRESS-MS 34
1 68837U 26093A 26294.04791053 .00009575 00000+0 18188-3 0 9998
2 68837 51.6327 37.2623 0006759 289.5321 70.4938 15.48967427587451
TIANZHOU-10
1 69049U 26102A 26294.25846467 .00030091 00000+0 35038-3 0 9998
2 69049 41.4687 276.1937 0002031 190.5094 169.5703 15.61026916311024
SHENZHOU-23 (SZ-23)
1 69180U 26113A 26294.25846467 .00030091 00000+0 35038-3 0 9996
2 69180 41.4687 276.1937 0002031 190.5094 169.5703 15.61026916307902
data/tle/visual.tle
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ATLAS CENTAUR 2
1 00694U 63047A 26294.56101685 .00002576 00000+0 29898-3 0 9992
2 00694 30.3591 12.5187 0544654 272.2554 81.5810 14.12859964163586
THOR AGENA D R/B
1 00733U 64002A 26294.30136440 .00000121 00000+0 60327-4 0 9994
2 00733 99.1093 319.8069 0032160 322.8889 37.0070 14.34104978270630
SL-3 R/B
1 00877U 64053B 26294.51523957 .00000234 00000+0 69680-4 0 9991
2 00877 65.0788 29.0938 0074004 220.6204 138.9362 14.61481505299793
SL-8 R/B
1 02802U 67045B 26294.23409436 .00000170 00000+0 54709-4 0 9994
2 02802 74.0094 286.8215 0065348 240.4721 118.9912 14.45730904121615
SL-8 R/B
1 03230U 68040B 26294.49258764 .00002378 00000+0 17237-3 0 9996
2 03230 74.0307 211.8620 0024606 327.5937 32.3739 15.04368628123955
OAO 2
1 03597U 68110A 26294.50312536 .00000165 00000+0 49508-4 0 9999
2 03597 34.9927 84.3502 0005835 215.5980 144.4322 14.47391459 51837
ISIS 1
1 03669U 69009A 26294.49194491 .00000102 00000+0 68259-4 0 9998
2 03669 88.4316 130.5092 1707004 353.3017 4.7579 11.30455333374045
SERT 2
1 04327U 70009A 26294.33933006 .00000000 00000+0 56942-4 0 9991
2 04327 99.2922 225.3083 0004358 318.8185 199.9837 13.58748563810531
SL-3 R/B
1 05118U 71028B 26294.16090038 .00137395 00000+0 54759-3 0 9993
2 05118 81.2224 129.0235 0007329 180.7902 179.3355 15.86191662 24099
ASTEX 1
1 05560U 71089A 26294.21419375 .00000488 00000+0 12372-3 0 9993
2 05560 92.7166 224.5323 0017274 48.2220 312.0459 14.50935156895004
SL-8 R/B
1 05730U 71119B 26294.24000555 .00006899 00000+0 35210-3 0 9993
2 05730 73.8834 112.9882 0536964 32.8816 330.4563 14.40856893687948
OAO 3 (COPERNICUS)
1 06153U 72065A 26294.14876516 .00000280 00000+0 61614-4 0 9997
2 06153 35.0037 92.6434 0006899 211.4386 316.3107 14.60118887879166
ATLAS CENTAUR R/B
1 06155U 72065B 26294.05892625 .00001236 00000+0 17001-3 0 9990
2 06155 35.0009 64.5075 0032636 108.0164 252.4097 14.78100388874629
SL-8 R/B
1 08459U 75112B 26294.07641126 .00000130 00000+0 51207-4 0 9994
2 08459 74.0606 324.2692 0015795 353.8293 6.2664 14.38290401664270
SL-3 R/B
1 10114U 77057B 26294.24700653 .00015195 00000+0 26969-3 0 9998
2 10114 97.5866 117.1779 0006444 176.2330 183.8971 15.50301719703226
SEASAT 1
1 10967U 78064A 26294.26126382 .00000331 00000+0 13062-3 0 9992
2 10967 108.0112 238.9084 0002626 282.9298 77.1555 14.46311937539127
SL-14 R/B
1 11267U 79011B 26294.12007023 .00000589 00000+0 55282-4 0 9990
2 11267 82.5235 242.6317 0016732 29.4145 330.8013 14.92105915562393
SL-8 R/B
1 11574U 79089B 26294.29366548 .00000206 00000+0 70126-4 0 9994
2 11574 74.0710 33.4017 0015020 151.2736 208.9251 14.42449487468631
SL-14 R/B
1 11672U 80005B 26294.01336570 .00000561 00000+0 53889-4 0 9996
2 11672 82.5114 93.4751 0016834 128.4682 231.8050 14.91120181510061
SL-8 R/B
1 12139U 81003B 26294.12759279 .00028338 00000+0 63788-3 0 9991
2 12139 82.9328 80.3648 0237016 109.5922 253.1068 15.18683164348807
SL-3 R/B
1 12465U 81046B 26294.18985731 .00013767 00000+0 27420-3 0 9993
2 12465 81.2324 17.9798 0016053 312.4179 47.5707 15.46625166473234
SL-3 R/B
1 12904U 81103B 26294.22228109 .00003915 00000+0 16463-3 0 9998
2 12904 81.1567 308.4582 0011490 241.5519 118.4556 15.23121464 7554
SL-3 R/B
1 13068U 82013B 26294.22371036 .00004221 00000+0 17459-3 0 9996
2 13068 81.1718 256.0324 0022670 134.8965 225.4114 15.23496062438676
SL-3 R/B
1 13154U 82039B 26294.33527760 .00002769 00000+0 16251-3 0 9993
2 13154 81.1507 315.3258 0029958 294.6783 65.1324 15.11054370415702
SL-3 R/B
1 13403U 82079B 26294.25313995 .00005384 00000+0 20209-3 0 9992
2 13403 81.1430 286.2552 0024853 119.2619 241.1104 15.26723012412099
SL-14 R/B
1 13553U 82092B 26293.96636237 .00000417 00000+0 43966-4 0 9995
2 13553 82.5646 290.6041 0018673 274.0970 115.8758 14.86821133362403
SL-3 R/B
1 13819U 83010B 26294.14380510 .00018335 00000+0 29989-3 0 9998
2 13819 81.0983 84.4792 0013790 336.7509 23.3113 15.52273997392850
SL-3 R/B
1 14208U 83075B 26294.32089952 .00011556 00000+0 26536-3 0 9991
2 14208 97.6104 308.1892 0020927 135.7527 224.5398 15.42639408364890
COSMOS 1536
1 14699U 84013A 26294.28606415 .00007210 00000+0 27624-3 0 9993
2 14699 82.5427 243.1282 0012735 199.6447 160.4302 15.26279903307009
SL-14 R/B
1 14820U 84027B 26294.26054980 .00000377 00000+0 40162-4 0 9996
2 14820 82.5442 33.4590 0016676 309.5364 50.4378 14.86131564281133
SL-8 R/B
1 15483U 85006B 26294.24643130 .00000181 00000+0 68533-4 0 9994
2 15483 74.0462 206.0772 0017260 63.5131 100.8516 14.37878570186449
SL-12 R/B(2)
1 15772U 85042D 26294.14134787 .00000108 00000+0 69934-4 0 9992
2 15772 71.1087 331.4022 0033429 137.5471 247.6980 14.22027261146444
SL-14 R/B
1 15945U 85069B 26294.17608976 .00000319 00000+0 33148-4 0 9994
2 15945 82.5285 172.8823 0019137 160.8339 199.3602 14.86589607206336
SL-16 R/B
1 16182U 85097B 26294.23232751 .00000230 00000+0 13935-3 0 9993
2 16182 71.0051 25.7110 0009780 272.2527 114.8353 14.16622922119170
SL-14 R/B
1 16496U 86006B 26294.29039982 .00000656 00000+0 66835-4 0 9999
2 16496 82.5283 47.4159 0074844 244.0734 115.2757 14.87041078182736
COSMOS 1743
1 16719U 86034A 26294.12877806 .00127340 00000+0 61222-3 0 9999
2 16719 82.5235 193.4905 0005564 116.8516 243.3322 15.82275405215590
SL-14 R/B
1 16792U 86046B 26294.23125326 .00000406 00000+0 43766-4 0 9995
2 16792 82.4828 227.0671 0022400 198.6083 161.4317 14.85745170159894
SL-14 R/B
1 16882U 86055B 26293.42945654 .00000456 00000+0 49590-4 0 9995
2 16882 82.5173 275.3776 0017629 311.9347 207.3823 14.85795696152736
AJISAI (EGS)
1 16908U 86061A 26294.32308455 -.00000069 00000+0 20409-3 0 9991
2 16908 50.0065 119.5286 0011424 140.6282 43.4000 12.44517827496099
SL-14 R/B
1 17567U 87024B 26294.24999466 .00000418 00000+0 44613-4 0 9993
2 17567 82.5278 240.7518 0016885 230.5706 129.4017 14.86287319121634
COSMOS 1833
1 17589U 87027A 26294.18432040 -.00000007 00000+0 21778-4 0 9995
2 17589 70.9156 212.0275 0025379 226.4965 133.4047 14.13038349 42171
SL-16 R/B
1 17590U 87027B 26294.06704182 -.00000205 00000+0 -77812-4 0 9994
2 17590 71.0020 161.5628 0003843 164.1692 195.9553 14.17187883 47275
SL-14 R/B
1 17912U 87038B 26294.15931650 .00000454 00000+0 49629-4 0 9995
2 17912 82.4989 84.4015 0020235 136.1059 224.1769 14.85516185112707
COSMOS 1844
1 17973U 87041A 26294.25958998 -.00000003 00000+0 23675-4 0 9995
2 17973 70.8985 278.3742 0029259 39.6902 320.6354 14.14594795 35487
SL-14 R/B
1 18153U 87055B 26294.29841810 .00000332 00000+0 35335-4 0 9999
2 18153 82.4973 136.3561 0020356 351.7670 8.3209 14.85777631103435
COSMOS 1867
1 18187U 87060A 26294.30155787 -.00000060 00000+0 15261-4 0 9990
2 18187 65.0125 34.8631 0019228 279.6183 80.2729 14.31527061 52239
SL-14 R/B
1 18749U 88001B 26294.10692514 .00000315 00000+0 33516-4 0 9997
2 18749 82.5145 343.2937 0017242 208.4591 151.5686 14.85678766 75497
COSMOS 1933
1 18958U 88020A 26294.24791172 .00003488 00000+0 16324-3 0 9996
2 18958 82.5153 27.5089 0005225 124.0604 236.1127 15.19421982 84465
SL-3 R/B
1 19046U 88032B 26294.27064488 .00004404 00000+0 19605-3 0 9998
2 19046 97.5406 277.3653 0025511 162.5809 197.6308 15.21711122 86394
SL-16 R/B
1 19120U 88039B 26294.03608271 .00000043 00000+0 42968-4 0 9990
2 19120 71.0142 312.0473 0022249 348.0279 12.0314 14.19640800990363
COSMOS 1953
1 19210U 88050A 26294.05193265 .00008197 00000+0 26793-3 0 9992
2 19210 82.5042 290.9622 0011841 54.3397 305.8945 15.31491381 72247
SL-8 R/B
1 19257U 88053B 26293.77898947 .00000179 00000+0 66363-4 0 9993
2 19257 74.0480 57.5380 0020083 185.4423 283.7756 14.39010557 8862
COSMOS 1975
1 19573U 88093A 26293.91870757 .00008212 00000+0 27462-3 0 9995
2 19573 82.5166 251.0905 0013155 93.5987 266.6759 15.30741044 53832
SL-14 R/B
1 19574U 88093B 26294.29279010 .00000381 00000+0 40800-4 0 9994
2 19574 82.5338 190.2547 0021061 15.6501 124.1693 14.85811637 34516
SL-16 R/B
1 19650U 88102B 26294.29893222 -.00000161 00000+0 -57215-4 0 9993
2 19650 71.0018 36.7810 0013447 17.6045 342.5542 14.16178709958839
INTERCOSMOS 24
1 20261U 89080A 26294.30039529 .00000382 00000+0 10330-3 0 9992
2 20261 82.6042 317.5605 1187932 129.1241 242.1687 12.59762048695209
SL-14 R/B
1 20262U 89080C 26294.25005201 .00000138 00000+0 34618-4 0 9992
2 20262 82.5970 28.3168 1230200 29.1921 337.2544 12.50614866688341
DELTA 1 R/B
1 20323U 89089B 26294.22933088 .00000361 00000+0 97512-4 0 9999
2 20323 97.0669 105.6621 0070040 128.8032 231.9449 14.50798015928433
ARIANE 40 R/B
1 20443U 90005H 26294.09424480 .00000173 00000+0 68480-4 0 9991
2 20443 98.2810 347.7000 0009071 242.7083 117.3183 14.39976157925245
COSMOS 2058
1 20465U 90010A 26294.24712406 .00003861 00000+0 21928-3 0 9998
2 20465 82.4696 184.9850 0007630 279.7266 80.3103 15.12632758976326
SL-14 R/B
1 20466U 90010B 26294.28368385 .00000411 00000+0 46747-4 0 9991
2 20466 82.5028 55.4969 0018228 276.7781 83.1359 14.83711824961938
SL-14 R/B
1 20511U 90018B 26294.18125476 .00000316 00000+0 36482-4 0 9990
2 20511 82.5245 12.3158 0017472 72.1176 288.1943 14.82283562955984
HST
1 20580U 90037B 26294.30934801 .00007548 00000+0 22957-3 0 9996
2 20580 28.4737 297.7404 0002158 117.4266 242.6550 15.32029197807923
SL-16 R/B
1 20625U 90046B 26294.13145192 -.00000252 00000+0 -10531-3 0 9996
2 20625 70.9995 184.4335 0015971 315.0159 44.9669 14.15038641880288
COSMOS 2084
1 20663U 90055A 26294.25792321 .00002715 00000+0 19538-3 0 9993
2 20663 62.7890 285.6424 0023108 356.7392 3.3554 15.06556923970290
SL-6 R/B(2)
1 20666U 90055D 26294.15909047 .00002369 00000+0 17694-3 0 9996
2 20666 62.7822 206.5630 0060102 20.9119 339.4419 15.04407183972107
SL-8 R/B
1 20775U 90078B 26294.29034957 .00013826 00000+0 38055-3 0 9990
2 20775 82.9019 47.3274 0335937 330.6802 27.5923 14.95752071842958
SL-8 R/B
1 21088U 91006B 26294.15169935 .00000037 00000+0 21498-4 0 9994
2 21088 82.9461 2.3099 0023689 121.9838 265.6896 13.77526194795114
OKEAN-3
1 21397U 91039A 26293.95126074 .00001979 00000+0 13447-3 0 9997
2 21397 82.5137 118.3940 0012733 282.6573 77.3230 15.05796323898924
COSMOS 2151
1 21422U 91042A 26294.22290472 .00001900 00000+0 14761-3 0 9999
2 21422 82.4975 226.0200 0012971 23.9043 336.2780 15.00730995897014
SL-14 R/B
1 21423U 91042B 26294.21464806 .00000304 00000+0 35395-4 0 9997
2 21423 82.4961 8.6868 0016083 215.7171 144.2969 14.81964135886472
ERS-1
1 21574U 91050A 26294.31804735 .00000271 00000+0 10125-3 0 9999
2 21574 98.7738 318.0697 0030874 252.0137 107.7684 14.39583492848190
ARIANE 40 R/B
1 21610U 91050F 26294.11125504 .00000291 00000+0 99135-4 0 9999
2 21610 98.1733 337.5353 0004338 106.0238 254.1431 14.43018386851507
INTERCOSMOS 25
1 21819U 91086A 26294.13656242 .00002184 00000+0 42577-3 0 9999
2 21819 82.6063 173.6394 1484901 350.7474 6.8764 12.12444658524007
SL-8 R/B
1 21876U 92008B 26293.93489035 -.00000005 00000+0 -20511-4 0 9995
2 21876 82.9231 100.2884 0033834 224.1070 247.6718 13.75991264740396
SL-8 R/B
1 21938U 92020B 26293.91496560 .00000017 00000+0 19700-5 0 9997
2 21938 82.9329 346.4668 0029672 31.6535 141.2048 13.75562168732099
USA 81
1 21949U 92023A 26294.15460056 .00000136 00000+0 42977-4 0 9993
2 21949 85.0115 1.3018 0002501 76.8614 283.2858 14.32425447127068
COSMOS 2219
1 22219U 92076A 26294.17347810 .00000319 00000+0 19174-3 0 9991
2 22219 71.0594 266.6899 0019416 220.7513 139.2158 14.14117006750254
SL-16 R/B
1 22220U 92076B 26294.32267781 -.00000198 00000+0 -74873-4 0 9993
2 22220 70.9996 73.0686 0010605 115.1482 263.3207 14.16885871753797
COSMOS 2221
1 22236U 92080A 26294.29652594 .00001841 00000+0 15810-3 0 9990
2 22236 82.5031 62.8966 0014875 149.1191 211.0910 14.96836038814537
SL-16 R/B
1 22285U 92093B 26294.17478562 -.00000182 00000+0 -68634-4 0 9998
2 22285 71.0212 250.8959 0006209 304.8474 55.2065 14.15478174745066
COSMOS 2228
1 22286U 92094A 26294.28821973 .00001721 00000+0 14350-3 0 9993
2 22286 82.5209 21.2028 0016171 260.9185 99.0208 14.97929501809822
SL-16 R/B
1 22566U 93016B 26294.16827520 .00000275 00000+0 16554-3 0 9991
2 22566 71.0048 101.6040 0011256 329.3389 30.7075 14.15324108734079
COSMOS 2242
1 22626U 93024A 26294.30616331 .00001708 00000+0 14512-3 0 9993
2 22626 82.5194 50.8305 0014614 265.3740 94.5813 14.97220590814140
SL-16 R/B
1 22803U 93059B 26294.19291922 -.00000090 00000+0 -20553-4 0 9998
2 22803 70.9895 255.5675 0018947 231.7896 128.1523 14.17262744711486
ARIANE 40 R/B
1 22830U 93061H 26294.17370659 .00000143 00000+0 68098-4 0 9997
2 22830 98.4684 358.3255 0010193 342.3114 17.7715 14.32947975726395
COSMOS 2278
1 23087U 94023A 26293.77927596 -.00000038 00000+0 48023-5 0 9995
2 23087 71.0526 64.1501 0007439 32.5573 327.6007 14.14406436676634
SL-16 R/B
1 23088U 94023B 26294.07855335 -.00000145 00000+0 -50046-4 0 9998
2 23088 71.0004 317.5447 0005505 296.7581 63.2978 14.15037295677977
SL-16 R/B
1 23343U 94074B 26294.13746782 .00000349 00000+0 53193-4 0 9990
2 23343 97.6921 315.5709 0006074 194.2103 206.4809 14.79588635720585
SL-16 R/B
1 23405U 94077B 26294.25505914 .00000068 00000+0 59009-4 0 9995
2 23405 70.9818 237.9267 0003564 222.2211 137.8638 14.15581383648154
ARIANE 40+ R/B
1 23561U 95021B 26294.24599633 .00000242 00000+0 90797-4 0 9991
2 23561 98.4287 2.4190 0006845 176.3773 221.0466 14.39889499651704
SL-16 R/B
1 23705U 95058B 26294.13154227 .00000220 00000+0 13650-3 0 9993
2 23705 71.0210 66.9306 0011156 143.7619 216.4262 14.15517375599752
SL-16 R/B
1 24298U 96051B 26294.30076034 .00000131 00000+0 97343-4 0 9996
2 24298 70.7716 57.7875 0016646 174.9726 185.1564 14.12491644553507
ORBVIEW 2 (SEASTAR)
1 24883U 97037A 26293.47621168 .00000203 00000+0 86721-4 0 9990
2 24883 98.8796 104.0721 0003185 109.9485 250.2043 14.35604599540722
SL-16 R/B
1 25400U 98043G 26294.30376364 .00000069 00000+0 47922-4 0 9992
2 25400 98.8541 249.6414 0010905 81.3944 278.8470 14.26086199471141
SL-16 R/B
1 25407U 98045B 26294.31428760 -.00000108 00000+0 -30535-4 0 9998
2 25407 71.0114 67.0779 0006286 23.8158 336.3255 14.16217596459040
ISS (ZARYA)
1 25544U 98067A 26294.04791053 .00009575 00000+0 18188-3 0 9996
2 25544 51.6327 37.2623 0006759 289.5321 70.4938 15.48967427591263
CZ-4B R/B
1 25732U 99025C 26294.33719284 .00000025 00000+0 32507-4 0 9991
2 25732 98.6350 332.9185 0037991 56.6196 315.2278 14.18299802420159
OKEAN-O
1 25860U 99039A 26294.12249620 .00000534 00000+0 76347-4 0 9992
2 25860 97.9164 351.3772 0001128 69.3361 290.7972 14.80585599467745
SL-16 R/B
1 25861U 99039B 26294.16291072 .00000428 00000+0 60734-4 0 9990
2 25861 97.9686 352.5668 0013524 242.9352 117.0481 14.81946268470255
DELTA 2 R/B
1 25876U 99041E 26294.21996411 .00000244 00000+0 77391-4 0 9997
2 25876 51.7636 120.1286 0499789 294.2377 60.7111 14.12282111394890
HELIOS 1B
1 25977U 99064A 26293.98227581 .00001297 00000+0 14671-3 0 9992
2 25977 98.1512 202.6979 0002371 69.2953 290.8517 14.88275821718767
TERRA
1 25994U 99068A 26294.29679579 .00000306 00000+0 71201-4 0 9991
2 25994 97.9307 338.7498 0002445 159.0733 268.7650 14.61181212428028
SL-16 R/B
1 26070U 00006B 26294.17611755 .00000287 00000+0 16980-3 0 9990
2 26070 71.0040 343.7103 0017395 205.4030 154.6240 14.15848864380472
TITAN 4B R/B
1 26474U 00047B 26294.27087755 .00002861 00000+0 17734-3 0 9999
2 26474 67.9867 125.5144 0038393 154.0237 206.2851 15.10759282426970
ENVISAT
1 27386U 02009A 26294.32593939 .00000102 00000+0 47067-4 0 9993
2 27386 98.3992 242.9149 0001382 86.2548 79.9859 14.39089594291625
IDEFIX & ARIANE 42P R/B
1 27422U 02021B 26293.83843639 .00000205 00000+0 94201-4 0 9994
2 27422 98.6037 230.0004 0010699 243.3867 116.6221 14.31130535276223
AQUA
1 27424U 02022A 26294.24047668 .00000750 00000+0 15869-3 0 9998
2 27424 98.4457 266.1542 0000789 81.3616 335.0903 14.62246479301690
CZ-4B R/B
1 27432U 02024C 26294.13671150 .00000020 00000+0 32977-4 0 9996
2 27432 98.8547 346.0449 0051127 102.2464 283.3267 14.14579456261114
MIDORI II (ADEOS-II)
1 27597U 02056A 26294.13845917 .00000242 00000+0 11288-3 0 9994
2 27597 98.8059 254.5703 0002095 72.0178 288.1231 14.29404617242504
H-2A R/B
1 27601U 02056E 26294.16899731 .00000215 00000+0 89983-4 0 9994
2 27601 98.3487 246.3466 0069360 209.1838 161.8114 14.33878371246428
CZ-4B R/B
1 28059U 03049C 26294.27226115 .00000305 00000+0 81421-4 0 9996
2 28059 98.6961 298.1879 0046924 263.2025 96.3830 14.55172956219404
SL-16 R/B
1 28353U 04021B 26293.95726368 -.00000220 00000+0 -89411-4 0 9998
2 28353 70.9989 119.7419 0003435 30.4791 329.6531 14.14625344154694
CZ-4B R/B
1 28415U 04035C 26294.04505285 .00008329 00000+0 26717-3 0 9991
2 28415 97.3265 325.7652 0027986 244.7460 115.0881 15.32201368214386
CZ-2C R/B
1 28480U 04046B 26294.18880881 .00000077 00000+0 43779-4 0 9998
2 28480 98.1821 195.0065 0138623 207.4318 151.9498 14.27060009140660
ARIANE 5 R/B
1 28499U 04049H 26294.22278216 .00000555 00000+0 67469-4 0 9992
2 28499 98.2789 111.4444 0083249 340.9887 18.8224 14.85595290179270
CZ-2D R/B
1 28738U 05024B 26294.04569555 .00170858 00000+0 58992-3 0 9995
2 28738 97.3349 321.2776 0002064 160.6930 199.4421 15.89107542175184
ALOS (DAICHI)
1 28931U 06002A 26294.13821038 .00001169 00000+0 20193-3 0 9994
2 28931 98.1493 249.4287 0000923 52.5954 307.5336 14.70290243106601
H-2A R/B
1 28932U 06002B 26294.01776783 .00009893 00000+0 45362-3 0 9995
2 28932 98.2688 101.5112 0048730 191.9517 168.0564 15.19614932128623
RESURS-DK 1
1 29228U 06021A 26293.94460919 .00002095 00000+0 12234-3 0 9996
2 29228 69.9344 13.9115 0001857 145.8949 214.2337 15.13634042121602
CZ-4B R/B
1 29507U 06046C 26294.07270437 .00004527 00000+0 21936-3 0 9993
2 29507 97.5316 338.2621 0031393 202.0720 157.9165 15.18622980 94237
CZ-2C R/B
1 31114U 07010B 26294.23275336 .00000052 00000+0 42845-4 0 9995
2 31114 98.4169 36.4615 0058876 359.7408 0.3729 14.20300750 11728
COSMO-SKYMED 1
1 31598U 07023A 26294.30274207 .00002593 00000+0 22714-3 0 9993
2 31598 97.8808 127.2592 0001782 83.9370 276.2055 14.97581828 48668
COSMOS 2428
1 31792U 07029A 26293.87466733 -.00000205 00000+0 -84202-4 0 9994
2 31792 70.9406 90.6209 0012682 282.9421 77.0284 14.12972285995904
SL-16 R/B
1 31793U 07029B 26294.30042625 -.00000005 00000+0 22289-4 0 9998
2 31793 70.9768 58.1179 0002429 283.3242 99.3377 14.14870320997287
KORONAS-FOTON
1 33504U 09003A 26294.01701681 .00015829 00000+0 29765-3 0 9990
2 33504 82.4302 40.7173 0010519 63.5967 296.6361 15.48363595980559
CZ-2C R/B
1 37731U 11030B 26293.86025463 .00001321 00000+0 17083-3 0 9990
2 37731 97.8826 247.0952 0051591 339.0207 74.4718 14.81693047823431
H-2A R/B
1 38341U 12025E 26294.03922116 .00002916 00000+0 26039-3 0 9996
2 38341 98.4977 279.7084 0042104 295.7561 63.9315 14.96198069781903
SHIJIAN-16 (SJ-16)
1 39358U 13057A 26294.30712525 .00000308 00000+0 32557-4 0 9998
2 39358 74.9707 117.7740 0016729 282.8340 77.0979 14.92835903705165
SL-4 R/B
1 39679U 14021B 26294.33679588 .00015465 00000+0 29158-3 0 9992
2 39679 51.6045 311.5576 0084330 208.8775 150.7531 15.44832468691092
ALOS-2
1 39766U 14029A 26294.27444758 .00001011 00000+0 14222-3 0 9997
2 39766 97.9227 29.6317 0001439 95.8521 264.2855 14.79469593670220
YAOGAN-29
1 41038U 15069A 26294.33955167 .00000157 00000+0 25824-4 0 9996
2 41038 97.9952 323.1207 0001668 29.8734 330.2575 14.83165418589324
ASTRO-H (HITOMI)
1 41337U 16012A 26294.16089214 .00002314 00000+0 12951-3 0 9992
2 41337 30.9998 340.2923 0009420 82.1891 277.9816 15.10999113586351
HXMT (HUIYAN)
1 42758U 17034A 26294.19381274 .00005174 00000+0 24781-3 0 9990
2 42758 43.0134 200.9015 0032345 227.0757 132.7376 15.19415588516825
SAOCOM 1A
1 43641U 18076A 26293.70563936 .00000253 00000+0 38360-4 0 9994
2 43641 97.8882 118.6571 0001540 83.6506 276.4883 14.82166739434690
H-2A R/B
1 43682U 18084L 26294.22095835 .00035644 00000+0 63059-3 0 9998
2 43682 98.8391 201.0204 0018723 318.5042 41.4782 15.50048384440615
SAOCOM 1B
1 46265U 20059A 26294.27701272 .00000503 00000+0 69729-4 0 9994
2 46265 97.8875 118.3204 0001401 86.6576 273.4798 14.82150573332163
CSS (TIANHE)
1 48274U 21035A 26294.25846467 .00030091 00000+0 35038-3 0 9995
2 48274 41.4687 276.1937 0002031 190.5094 169.5703 15.61026916312853
COSMOS 2550
1 48865U 21056A 26294.26593659 .00005766 00000+0 18089-3 0 9995
2 48865 67.1420 78.5160 0008356 269.5446 90.4751 15.33842010298055
CZ-2C R/B
1 52794U 22058K 26294.21535187 .00082714 00000+0 59237-3 0 9999
2 52794 50.1805 223.0674 0026929 88.9328 271.4735 15.72446712245401
CZ-2C R/B
1 54039U 22132E 26294.00447575 .00234852 23273-4 62243-3 0 9991
2 54039 97.2810 308.3797 0003381 332.0024 28.1069 15.94659215225828
GSLV R/B
1 54149U 22138AN 26294.14659811 .00002004 00000+0 16776-3 0 9992
2 54149 87.3731 90.6054 0023139 55.0936 305.2466 14.97702774217660
XRISM
1 57800U 23137A 26294.26863262 .00005489 00000+0 29450-3 0 9992
2 57800 31.0022 262.3157 0007616 159.4646 200.6300 15.13378384171970
ACS3
1 59588U 24077B 26294.15446671 .00016687 00000+0 11432-1 0 9991
2 59588 97.2537 185.7246 0055915 12.4986 347.7555 13.98811813125623
SPACEMOBILE-003
1 61045U 24163A 26293.75464403 -.00001138 00000+0 -36856-4 0 9993
2 61045 52.9706 92.1585 0006545 125.8552 234.3051 15.20289716116877
SPACEMOBILE-005
1 61046U 24163B 26294.13337173 .00002573 00000+0 13140-3 0 9992
2 61046 52.9803 90.4331 0009987 124.9536 235.2397 15.20370604116927
SPACEMOBILE-001
1 61047U 24163C 26293.73782963 -.00000334 00000+0 -28569-6 0 9998
2 61047 52.9754 91.9124 0007715 126.2538 233.9170 15.20332074116869
SPACEMOBILE-002
1 61048U 24163D 26293.78790289 .00015439 00000+0 71334-3 0 9999
2 61048 52.9748 91.7680 0007035 115.3506 244.8217 15.20360596116871
SPACEMOBILE-004
1 61049U 24163E 26293.63881022 .00016281 00000+0 75183-3 0 9992
2 61049 52.9685 92.2050 0008174 150.7184 209.4270 15.20331535116854
CZ-8A R/B
1 66004U 25231K 26294.17425587 .00000019 00000+0 65100-4 0 9996
2 66004 50.0047 223.2832 0116769 307.9803 51.0612 14.30194669 52977
SZ-21 MODULE
1 66515U 25246C 26294.22802189 .00131005 13520-4 39861-3 0 9992
2 66515 41.4681 234.9893 0012983 217.8317 142.1621 15.91235557 53715
SPACEMOBILE-006
1 67232U 25309A 26293.79566921 .00002943 00000+0 15370-3 0 9992
2 67232 52.9950 116.0791 0011496 152.3089 207.8519 15.19052812 45685
SPACEMOBILE-008
1 69589U 26139A 26294.31718713 .00001568 00000+0 10443-3 0 9996
2 69589 52.9961 49.8238 0003612 12.0577 348.0500 15.13083337 19070
SPACEMOBILE-009
1 69590U 26139B 26293.59929539 .00000948 00000+0 69967-4 0 9994
2 69590 52.9942 53.1631 0003674 359.7665 0.3323 15.12974974 18966
SPACEMOBILE-010
1 69591U 26139C 26293.81017468 .00002922 00000+0 18114-3 0 9990
2 69591 52.9943 52.3473 0003542 352.9751 7.1190 15.12844296 19004
lib/errors.mjs
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/** Error intended to be returned by the HTTP API. */
export class ServiceError extends Error {
constructor(code, message, status = 500, details = undefined) {
super(message);
this.name = 'ServiceError';
this.code = code;
this.status = status;
if (details !== undefined) this.details = details;
}
}
lib/geo.mjs
+41
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export const rad = (degrees) => (degrees * Math.PI) / 180;
export const deg = (radians) => (radians * 180) / Math.PI;
export const wrap360 = (degrees) => ((degrees % 360) + 360) % 360;
export const wrap180 = (degrees) => ((degrees + 180) % 360 + 360) % 360 - 180;
/** Convert azimuth clockwise from north and altitude above the horizon to a unit ENU vector. */
export function azAltToVec(az, alt) {
const a = rad(az), e = rad(alt), ce = Math.cos(e);
return [ce * Math.sin(a), ce * Math.cos(a), Math.sin(e)];
}
/** Convert an east/north/up vector to azimuth clockwise from north and altitude. */
export function vecToAzAlt(vector) {
const [east, north, up] = vector;
const horizontal = Math.hypot(east, north);
return { az: wrap360(deg(Math.atan2(east, north))), alt: deg(Math.atan2(up, horizontal)) };
}
/** Quaternion [x,y,z,w] conjugate. */
export function quatConj([x, y, z, w]) {
return [-x, -y, -z, w];
}
/** Rotate a 3D vector by quaternion [x,y,z,w]. */
export function quatRotate([x, y, z, w], [vx, vy, vz]) {
const tx = 2 * (y * vz - z * vy);
const ty = 2 * (z * vx - x * vz);
const tz = 2 * (x * vy - y * vx);
return [
vx + w * tx + (y * tz - z * ty),
vy + w * ty + (z * tx - x * tz),
vz + w * tz + (x * ty - y * tx),
];
}
/** Great-circle angular separation of two azimuth/altitude positions, in degrees. */
export function angularSeparation(az1, alt1, az2, alt2) {
const a1 = rad(alt1), a2 = rad(alt2), da = rad(wrap180(az2 - az1));
const cosSep = Math.sin(a1) * Math.sin(a2) + Math.cos(a1) * Math.cos(a2) * Math.cos(da);
return deg(Math.acos(Math.max(-1, Math.min(1, cosSep))));
}
lib/stars.mjs
+24
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// Bright-star catalogue: J2000 right ascension (hours) and declination (degrees).
// Values are approximate and intended for telescope target selection, not astrometry.
export const STARS = {
sirius: { label: 'Sirius', ra: 6.75248, dec: -16.7161 },
canopus: { label: 'Canopus', ra: 6.39920, dec: -52.6957 },
arcturus: { label: 'Arcturus', ra: 14.26102, dec: 19.1825 },
vega: { label: 'Vega', ra: 18.61565, dec: 38.7837 },
capella: { label: 'Capella', ra: 5.27816, dec: 45.9980 },
rigel: { label: 'Rigel', ra: 5.24230, dec: -8.2016 },
procyon: { label: 'Procyon', ra: 7.65503, dec: 5.2250 },
betelgeuse: { label: 'Betelgeuse', ra: 5.91953, dec: 7.4071 },
achernar: { label: 'Achernar', ra: 1.62857, dec: -57.2368 },
hadar: { label: 'Hadar', ra: 14.06373, dec: -60.3730 },
altair: { label: 'Altair', ra: 19.84639, dec: 8.8683 },
acrux: { label: 'Acrux', ra: 12.44330, dec: -63.0991 },
aldebaran: { label: 'Aldebaran', ra: 4.59868, dec: 16.5093 },
antares: { label: 'Antares', ra: 16.49013, dec: -26.4320 },
spica: { label: 'Spica', ra: 13.41988, dec: -11.1613 },
pollux: { label: 'Pollux', ra: 7.75526, dec: 28.0262 },
regulus: { label: 'Regulus', ra: 10.13953, dec: 11.9672 },
deneb: { label: 'Deneb', ra: 20.69053, dec: 45.2803 },
polaris: { label: 'Polaris', ra: 2.53030, dec: 89.2641 },
castor: { label: 'Castor', ra: 7.57667, dec: 31.8883 },
};
mpu.py
+118
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import sys
import json
import time
import math
import board
import busio
from adafruit_bno08x.i2c import BNO08X_I2C
from adafruit_bno08x import BNO_REPORT_ROTATION_VECTOR
POLL_INTERVAL = 0.1 # seconds between output lines
REPORT_INTERVAL_US = 50000 # sensor report rate (20 Hz)
STUCK_TIMEOUT = 10.0 # re-init if quaternion is bit-identical this long
MAX_CONSECUTIVE_ERRORS = 10
def quaternion_to_euler(x, y, z, w):
"""Adafruit BNO08X quaternion (x, y, z, w) -> yaw, pitch, roll in degrees."""
sinr_cosp = 2.0 * (w * x + y * z)
cosr_cosp = 1.0 - 2.0 * (x * x + y * y)
roll = math.atan2(sinr_cosp, cosr_cosp)
sinp = max(-1.0, min(1.0, 2.0 * (w * y - z * x)))
pitch = math.asin(sinp)
siny_cosp = 2.0 * (w * z + x * y)
cosy_cosp = 1.0 - 2.0 * (y * y + z * z)
yaw = math.atan2(siny_cosp, cosy_cosp)
return math.degrees(yaw), math.degrees(pitch), math.degrees(roll)
def valid_quaternion(quat):
"""Return a normalized (x, y, z, w) tuple, or None if the data is garbage."""
if not quat or len(quat) != 4:
return None
if any(v is None or math.isnan(v) or math.isinf(v) for v in quat):
return None
norm = math.sqrt(sum(v * v for v in quat))
# A healthy unit quaternion has norm ~1. Corrupt I2C reads usually don't.
if norm < 0.9 or norm > 1.1:
return None
return tuple(v / norm for v in quat)
def init_sensor(i2c):
bno = BNO08X_I2C(i2c, address=0x4B)
try:
bno.enable_feature(BNO_REPORT_ROTATION_VECTOR, REPORT_INTERVAL_US)
except TypeError:
# Older library versions don't accept a report interval
bno.enable_feature(BNO_REPORT_ROTATION_VECTOR)
time.sleep(0.5)
return bno
def main():
try:
i2c = busio.I2C(board.SCL, board.SDA)
bno = init_sensor(i2c)
last_quat = None
last_change = time.time()
errors = 0
while True:
try:
raw = bno.quaternion # (x, y, z, w) from rotation vector
quat = valid_quaternion(raw)
if quat is None:
raise ValueError("invalid quaternion")
errors = 0
# Stuck-sensor detection
if raw != last_quat:
last_quat = raw
last_change = time.time()
elif time.time() - last_change > STUCK_TIMEOUT:
raise RuntimeError("sensor output frozen")
yaw, pitch, roll = quaternion_to_euler(*quat)
if yaw < 0:
yaw += 360.0
print(json.dumps({
"yaw": round(yaw, 2),
"pitch": round(pitch, 2),
"roll": round(roll, 2),
}))
sys.stdout.flush()
except (ValueError, TypeError, IndexError, KeyError, OSError,
RuntimeError) as e:
errors += 1
frozen = isinstance(e, RuntimeError)
if frozen or errors >= MAX_CONSECUTIVE_ERRORS:
print(json.dumps({"warning": f"re-initializing sensor ({e})"}),
file=sys.stderr)
sys.stderr.flush()
try:
bno = init_sensor(i2c)
except Exception as init_err:
print(json.dumps({"warning": f"re-init failed: {init_err}"}),
file=sys.stderr)
time.sleep(1.0)
errors = 0
last_quat = None
last_change = time.time()
time.sleep(POLL_INTERVAL)
except Exception as e:
print(json.dumps({"error": str(e)}), file=sys.stderr)
sys.exit(1)
if __name__ == "__main__":
main()
node_modules/.package-lock.json
Generated Vendored
+25
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@@ -0,0 +1,25 @@
{
"name": "eye-spy",
"lockfileVersion": 3,
"requires": true,
"packages": {
"node_modules/astronomy-engine": {
"version": "2.1.19",
"resolved": "https://registry.npmjs.org/astronomy-engine/-/astronomy-engine-2.1.19.tgz",
"integrity": "sha512-8yWKNf7UeNbH458h3sAJ6ZgAjE5jTXp/mNNRFoC20j2SHwZIjAQeEsBB2Q3uCFRaTCCJRv33K2XhkhZQMXoX6w==",
"license": "MIT"
},
"node_modules/geomagnetism": {
"version": "0.2.0",
"resolved": "https://registry.npmjs.org/geomagnetism/-/geomagnetism-0.2.0.tgz",
"integrity": "sha512-dO8HJrXqah244nMe+pU5m52L90SMoi4lDA0AV3xunRxogloYV+s3aYWCW72VMMfiYis+YSAlhoKktw8aLMiJbw==",
"license": "Apache-2.0"
},
"node_modules/satellite.js": {
"version": "6.0.2",
"resolved": "https://registry.npmjs.org/satellite.js/-/satellite.js-6.0.2.tgz",
"integrity": "sha512-XWKxtqVF5xiJ1xAeiYeT/oSSzsukoCLWvk6nO/WFy4un0M3g4djAU9TAtOCqJLtYW9vxx9pkPJ1L9ITOc607GA==",
"license": "MIT"
}
}
}
node_modules/astronomy-engine/README.md
Generated Vendored
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node_modules/astronomy-engine/astronomy.browser.js
Generated Vendored
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node_modules/astronomy-engine/astronomy.browser.min.js
Generated Vendored
+258
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/*
MIT
Astronomy library for JavaScript (browser and Node.js).
https://github.com/cosinekitty/astronomy
MIT License
Copyright (c) 2019-2023 Don Cross <cosinekitty@gmail.com>
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
*/
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b){return[a.rot[0][0]*b[0]+a.rot[1][0]*b[1]+a.rot[2][0]*b[2],a.rot[0][1]*b[0]+a.rot[1][1]*b[1]+a.rot[2][1]*b[2],a.rot[0][2]*b[0]+a.rot[1][2]*b[1]+a.rot[2][2]*b[2]]}function wa(a,b,c){b=Ma(b,c);return ac(b,a)}function Ma(a,b){a=a.tt/36525;var c=84381.406,d=((((3.337E-7*a-4.67E-7)*a-.00772503)*a+.0512623)*a-.025754)*a+c;c*=4.84813681109536E-6;var f=((((-9.51E-8*a+1.32851E-4)*a-.00114045)*a-1.0790069)*a+5038.481507)*a*4.84813681109536E-6;d*=4.84813681109536E-6;var g=((((-5.6E-8*a+1.70663E-4)*a-.00121197)*
a-2.3814292)*a+10.556403)*a*4.84813681109536E-6;a=Math.sin(c);c=Math.cos(c);var h=Math.sin(-f);f=Math.cos(-f);var l=Math.sin(-d);d=Math.cos(-d);var k=Math.sin(g),n=Math.cos(g);g=n*f-h*k*d;var p=n*h*c+k*d*f*c-a*k*l,q=n*h*a+k*d*f*a+c*k*l,t=-k*f-h*n*d,y=-k*h*c+n*d*f*c-a*n*l;k=-k*h*a+n*d*f*a+c*n*l;h*=l;n=-l*f*c-a*d;a=-l*f*a+d*c;if(b===F.Into2000)return new J([[g,p,q],[t,y,k],[h,n,a]]);if(b===F.From2000)return new J([[g,t,h],[p,y,n],[q,k,a]]);throw"Invalid precess direction";}function ca(a){if(!eb||eb.tt!==
a.tt){var b=a.tt/36525,c=15*da(a).ee,d=(.779057273264+.00273781191135448*a.ut+a.ut%1)%1*360;0>d&&(d+=360);b=((c+.014506+((((-3.68E-8*b-2.9956E-5)*b-4.4E-7)*b+1.3915817)*b+4612.156534)*b)/3600+d)%360/15;0>b&&(b+=24);eb={tt:a.tt,st:b}}return eb.st}function bc(a){a=v(a);return ca(a)}function xb(a,b){var c=a.latitude*e.DEG2RAD,d=Math.sin(c);c=Math.cos(c);var f=1/Math.hypot(c,.996647180302104*d),g=a.height/1E3,h=6378.1366*f+g;b=(15*b+a.longitude)*e.DEG2RAD;a=Math.sin(b);b=Math.cos(b);return{pos:[h*c*b/
e.KM_PER_AU,h*c*a/e.KM_PER_AU,(6335.438815127603*f+g)*d/e.KM_PER_AU],vel:[-7.292115E-5*h*c*a*86400/e.KM_PER_AU,7.292115E-5*h*c*b*86400/e.KM_PER_AU,0]}}function xa(a,b,c){b=Na(b,c);return ac(b,a)}function Na(a,b){a=da(a);var c=a.mobl*e.DEG2RAD,d=a.tobl*e.DEG2RAD,f=4.84813681109536E-6*a.dpsi;a=Math.cos(c);c=Math.sin(c);var g=Math.cos(d),h=Math.sin(d);d=Math.cos(f);var l=Math.sin(f);f=-l*a;var k=-l*c,n=l*g,p=d*a*g+c*h,q=d*c*g-a*h;l*=h;var t=d*a*h-c*g;a=d*c*h+a*g;if(b===F.From2000)return new J([[d,n,
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a[2],b)}function dc(a,b){b=yb(a,b);var c=b.x*b.x+b.y*b.y,d=Math.sqrt(c+b.z*b.z);if(0===c){if(0===b.z)throw"Indeterminate sky coordinates";return new gb(0,0>b.z?-90:90,d,b)}var f=e.RAD2HOUR*Math.atan2(b.y,b.x);0>f&&(f+=24);return new gb(f,e.RAD2DEG*Math.atan2(a[2],Math.sqrt(c)),d,b)}function ya(a,b){var c=a*e.DEG2RAD;a=Math.cos(c);c=Math.sin(c);return[a*b[0]+c*b[1],a*b[1]-c*b[0],b[2]]}function hb(a,b,c,d,f){a=v(a);za(b);w(c);w(d);var g=Math.sin(b.latitude*e.DEG2RAD),h=Math.cos(b.latitude*e.DEG2RAD),
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p)){c=Math.sin(p*e.DEG2RAD);q=Math.cos(p*e.DEG2RAD);t=Math.sin(d*e.DEG2RAD);d=Math.cos(d*e.DEG2RAD);f=[];for(l=0;3>l;++l)f.push((b[l]-d*a[l])/t*c+a[l]*q);q=Math.hypot(f[0],f[1]);0<q?(c=e.RAD2HOUR*Math.atan2(f[1],f[0]),0>c&&(c+=24)):c=0;q=e.RAD2DEG*Math.atan2(f[2],q)}return new ec(n,90-p,c,q)}function za(a){if(!(a instanceof zb))throw"Not an instance of the Observer class: "+a;w(a.latitude);w(a.longitude);w(a.height);if(-90>a.latitude||90<a.latitude)throw"Latitude "+a.latitude+" is out of range. Must be -90..+90.";
return a}function fc(a){a=v(a).AddDays(-1/e.C_AUDAY);var b=Aa(M.Earth,a),c=$jscomp.makeIterator(fb([-b.x,-b.y,-b.z],a,F.From2000));b=c.next().value;var d=c.next().value,f=c.next().value,g=e.DEG2RAD*da(a).tobl;c=Math.cos(g);g=Math.sin(g);a=new E(b,d,f,a);return Ab(a,c,g)}function Pa(a,b,c,d,f){za(c);A(d);A(f);b=v(b);c=cc(b,c);a=W(a,b,f);a=[a.x-c[0],a.y-c[1],a.z-c[2]];if(!d)return dc(a,b);d=fb(a,b,F.From2000);return dc(d,b)}function Ab(a,b,c){var d=a.x,f=a.y*b+a.z*c;c=-a.y*c+a.z*b;var g=Math.hypot(d,
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c.x)/2,(b.y+c.y)/2,(b.z+c.z)/2,(c.x-b.x)/2E-5,(c.y-b.y)/2E-5,(c.z-b.z)/2E-5,a)}function Bb(a){a=v(a);var b=Ra(a);return new I(b.x/82.30056,b.y/82.30056,b.z/82.30056,b.vx/82.30056,b.vy/82.30056,b.vz/82.30056,a)}function ma(a,b,c){var d=1,f=0;a=$jscomp.makeIterator(a);for(var g=a.next();!g.done;g=a.next()){var h=0;g=$jscomp.makeIterator(g.value);for(var l=g.next();!l.done;l=g.next()){var k=$jscomp.makeIterator(l.value);l=k.next().value;var n=k.next().value;k=k.next().value;h+=l*Math.cos(n+b*k)}h*=d;
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a[2],.397776982902*a[1]+.917482137087*a[2])}function hc(a,b,c){var d=c*Math.cos(b);return[d*Math.cos(a),d*Math.sin(a),c*Math.sin(b)]}function Aa(a,b){var c=b.tt/365250,d=ma(a[0],c,!0),f=ma(a[1],c,!1);a=ma(a[2],c,!1);d=hc(d,f,a);return Db(d).ToAstroVector(b)}function Sa(a,b){var c=b/365250,d=ma(a[0],c,!0),f=ma(a[1],c,!1),g=ma(a[2],c,!1),h=Cb(a[0],c),l=Cb(a[1],c);c=Cb(a[2],c);var k=Math.cos(d),n=Math.sin(d),p=Math.cos(f),q=Math.sin(f);a=+(c*p*k)-g*q*k*l-g*p*n*h;h=+(c*p*n)-g*q*n*l+g*p*k*h;l=+(c*q)+g*
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b.y+a*c.y,b.z+a*c.z)}function Fb(a,b){var c=a-b.tt,d=new Da(a),f=Ca(c,b.r,b.v,b.a),g=d.Acceleration(f).mean(b.a);f=Ca(c,b.r,b.v,g);b=b.v.add(g.mul(c));c=d.Acceleration(f);a=new Ua(a,f,b,c);return new ic(d,a)}function jc(a,b){a=Math.floor(a);return 0>a?0:a>=b?b-1:a}function Gb(a){var b=$jscomp.makeIterator(a);a=b.next().value;var c=$jscomp.makeIterator(b.next().value);var d=c.next().value;var f=c.next().value;c=c.next().value;var g=$jscomp.makeIterator(b.next().value);b=g.next().value;var h=g.next().value;
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1]).grav;g=d[200].tt;var h=[];h[200]=d[200];for(f=199;0<f;--f)h[f]=Fb(g-=146,h[f+1]).grav;for(f=199;0<f;--f)g=f/200,d[f].r=d[f].r.mul(1-g).add(h[f].r.mul(g)),d[f].v=d[f].v.mul(1-g).add(h[f].v.mul(g)),d[f].a=d[f].a.mul(1-g).add(h[f].a.mul(g))}c=Ib[c]}if(d=c){f=jc((a.tt-d[0].tt)/146,200);c=d[f];g=d[f+1];var l=c.a.mean(g.a);f=Ca(a.tt-c.tt,c.r,c.v,l);d=Eb(a.tt-c.tt,c.v,l);h=Ca(a.tt-g.tt,g.r,g.v,l);g=Eb(a.tt-g.tt,g.v,l);l=(a.tt-c.tt)/146;c=f.mul(1-l).add(h.mul(l));d=d.mul(1-l).add(g.mul(l))}else{var k=
a.tt<na[0][0]?kc(na[0],a.tt,-146):kc(na[50],a.tt,146);c=k.grav.r;d=k.grav.v;k=k.bary}b&&(k||(k=new Da(a.tt)),c=c.sub(k.Sun.r),d=d.sub(k.Sun.v));return new I(c.x,c.y,c.z,d.x,d.y,d.z,a)}function kb(a,b){for(var c=a.tt+18262.5,d=[0,b.al[0]+c*b.al[1],0,0,0,0],f=$jscomp.makeIterator(b.a),g=f.next();!g.done;g=f.next()){var h=$jscomp.makeIterator(g.value);g=h.next().value;var l=h.next().value;h=h.next().value;d[0]+=g*Math.cos(l+c*h)}f=$jscomp.makeIterator(b.l);for(g=f.next();!g.done;g=f.next())h=$jscomp.makeIterator(g.value),
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g=d[2];l=d[3];c=d[4];d=d[5];var k=Math.sqrt(b.mu/(f*f*f));b=h+g*Math.sin(h)-l*Math.cos(h);do{var n=Math.cos(b);var p=Math.sin(b);n=(h-b+g*p-l*n)/(1-g*n-l*p);b+=n}while(1E-12<=Math.abs(n));n=Math.cos(b);p=Math.sin(b);h=l*n-g*p;var q=-g*n-l*p,t=1/(1+q),y=1/(1+Math.sqrt(1-g*g-l*l));b=f*(n-g-y*l*h);h=f*(p-l+y*g*h);l=k*t*f*(-p-y*l*q);f=k*t*f*(+n+y*g*q);g=2*Math.sqrt(1-c*c-d*d);k=1-2*d*d;n=1-2*c*c;p=2*d*c;a=new I(b*k+h*p,b*p+h*n,(c*h-b*d)*g,l*k+f*p,l*p+f*n,(c*f-l*d)*g,a);return Ea(rd,a)}function Z(a,b){b=
v(b);if(a in M)return Aa(M[a],b);if(a===m.Pluto)return a=Hb(b,!0),new E(a.x,a.y,a.z,b);if(a===m.Sun)return new E(0,0,0,b);if(a===m.Moon){a=Aa(M.Earth,b);var c=Y(b);return new E(a.x+c.x,a.y+c.y,a.z+c.z,b)}if(a===m.EMB)return a=Aa(M.Earth,b),c=Y(b),new E(a.x+c.x/82.30056,a.y+c.y/82.30056,a.z+c.z/82.30056,b);if(a===m.SSB)return a=new E(0,0,0,b),jb(a,b,m.Jupiter,2.825345909524226E-7),jb(a,b,m.Saturn,8.459715185680659E-8),jb(a,b,m.Uranus,1.292024916781969E-8),jb(a,b,m.Neptune,1.524358900784276E-8),a;if(c=
ka(a))return a=new Ba(c.dec,15*c.ra,c.dist),lb(a,b);throw'HelioVector: Unknown body "'+a+'"';}function oa(a,b){var c=ka(a);if(c)return c.dist;b=v(b);return a in M?ma(M[a][2],b.tt/365250,!1):Z(a,b).Length()}function lc(a,b){for(var c=b,d=0,f=0;10>f;++f){var g=a(c);d=g.Length()/e.C_AUDAY;if(1<d)throw"Object is too distant for light-travel solver.";var h=b.AddDays(-d);d=Math.abs(h.tt-c.tt);if(1E-9>d)return g;c=h}throw"Light-travel time solver did not converge: dt = "+d;}function mc(a,b,c,d){A(d);a=v(a);
if(ka(c)){c=Z(c,a);if(d)return b=mb(b,a),d=new E(c.x-b.x,c.y-b.y,c.z-b.z,a),c=e.C_AUDAY/d.Length(),new E(d.x+b.vx/c,d.y+b.vy/c,d.z+b.vz/c,a);b=Z(b,a);return new E(c.x-b.x,c.y-b.y,c.z-b.z,a)}var f=d?new E(0,0,0,a):Z(b,a);var g=new nc(b,c,d,f);return lc(function(h){return g.Position(h)},a)}function W(a,b,c){A(c);b=v(b);switch(a){case m.Earth:return new E(0,0,0,b);case m.Moon:return Y(b);default:return a=mc(b,m.Earth,a,c),a.t=b,a}}function pa(a,b){return new I(a.r.x,a.r.y,a.r.z,a.v.x,a.v.y,a.v.z,b)}
function mb(a,b){b=v(b);switch(a){case m.Sun:return new I(0,0,0,0,0,0,b);case m.SSB:return a=new Da(b.tt),new I(-a.Sun.r.x,-a.Sun.r.y,-a.Sun.r.z,-a.Sun.v.x,-a.Sun.v.y,-a.Sun.v.z,b);case m.Mercury:case m.Venus:case m.Earth:case m.Mars:case m.Jupiter:case m.Saturn:case m.Uranus:case m.Neptune:return a=Sa(M[a],b.tt),pa(a,b);case m.Pluto:return Hb(b,!0);case m.Moon:case m.EMB:var c=Sa(M.Earth,b.tt);a=a==m.Moon?Ra(b):Bb(b);return new I(a.x+c.r.x,a.y+c.r.y,a.z+c.r.z,a.vx+c.v.x,a.vy+c.v.y,a.vz+c.v.z,b);
default:if(ka(a))return a=Z(a,b),new I(a.x,a.y,a.z,0,0,0,b);throw'HelioState: Unsupported body "'+a+'"';}}function sd(a,b,c,d,f){var g=(f+c)/2-d;c=(f-c)/2;if(0==g){if(0==c)return null;d=-d/c;if(-1>d||1<d)return null}else{d=c*c-4*g*d;if(0>=d)return null;f=Math.sqrt(d);d=(-c+f)/(2*g);f=(-c-f)/(2*g);if(-1<=d&&1>=d){if(-1<=f&&1>=f)return null}else if(-1<=f&&1>=f)d=f;else return null}return{t:a+d*b,df_dt:(2*g*d+c)/b}}function K(a,b,c,d){var f=w(d&&d.dt_tolerance_seconds||1);f=Math.abs(f/86400);var g=d&&
d.init_f1||a(b),h=d&&d.init_f2||a(c),l=NaN,k=0;d=d&&d.iter_limit||20;for(var n=!0;;){if(++k>d)throw"Excessive iteration in Search()";var p=new O(b.ut+.5*(c.ut-b.ut)),q=p.ut-b.ut;if(Math.abs(q)<f)return p;n?l=a(p):n=!0;var t=sd(p.ut,c.ut-p.ut,g,l,h);if(t){var y=v(t.t),x=a(y);if(0!==t.df_dt){if(Math.abs(x/t.df_dt)<f)return y;t=1.2*Math.abs(x/t.df_dt);if(t<q/10&&(q=y.AddDays(-t),y=y.AddDays(+t),0>(q.ut-b.ut)*(q.ut-c.ut)&&0>(y.ut-b.ut)*(y.ut-c.ut))){t=a(q);var z=a(y);if(0>t&&0<=z){g=t;h=z;b=q;c=y;l=x;
n=!1;continue}}}}if(0>g&&0<=l)c=p,h=l;else if(0>l&&0<=h)b=p,g=l;else return null}}function Fa(a){for(;-180>=a;)a+=360;for(;180<a;)a-=360;return a}function Ga(a){for(;0>a;)a+=360;for(;360<=a;)a-=360;return a}function oc(a,b,c){w(a);w(c);b=v(b);c=b.AddDays(c);return K(function(d){d=fc(d);return Fa(d.elon-a)},b,c,{dt_tolerance_seconds:.01})}function Jb(a,b,c){if(a===m.Earth||b===m.Earth)throw"The Earth does not have a longitude as seen from itself.";c=v(c);a=W(a,c,!1);a=Qa(a);b=W(b,c,!1);b=Qa(b);return Ga(a.elon-
b.elon)}function Ha(a,b){if(a==m.Earth)throw"The Earth does not have an angle as seen from itself.";var c=v(b);b=W(m.Sun,c,!0);a=W(a,c,!0);return N(b,a)}function qa(a,b){if(a===m.Sun)throw"Cannot calculate heliocentric longitude of the Sun.";a=Z(a,b);return Qa(a).elon}function nb(a,b){if(a===m.Earth)throw"The illumination of the Earth is not defined.";var c=v(b),d=Aa(M.Earth,c);if(a===m.Sun){var f=new E(-d.x,-d.y,-d.z,c);b=new E(0,0,0,c);d=0}else a===m.Moon?(f=Y(c),b=new E(d.x+f.x,d.y+f.y,d.z+f.z,
c)):(b=Z(a,b),f=new E(b.x-d.x,b.y-d.y,b.z-d.z,c)),d=N(f,b);var g=f.Length(),h=b.Length();if(a===m.Sun)var l=td+5*Math.log10(g);else if(a===m.Moon)a=d*e.DEG2RAD,l=a*a,a=-12.717+1.49*Math.abs(a)+.0431*l*l,l=a+=5*Math.log10(g/(385000.6/e.KM_PER_AU)*h);else if(a===m.Saturn){var k=d;a=Qa(f);l=28.06*e.DEG2RAD;var n=e.DEG2RAD*a.elat;a=Math.asin(Math.sin(n)*Math.cos(l)-Math.cos(n)*Math.sin(l)*Math.sin(e.DEG2RAD*a.elon-e.DEG2RAD*(169.51+3.82E-5*c.tt)));l=Math.sin(Math.abs(a));k=-9+.044*k+l*(-2.6+1.2*l)+5*
Math.log10(h*g);a*=e.RAD2DEG;l=k;k=a}else{var p=n=l=0;switch(a){case m.Mercury:a=-.6;l=4.98;n=-4.88;p=3.02;break;case m.Venus:163.6>d?(a=-4.47,l=1.03,n=.57,p=.13):(a=.98,l=-1.02);break;case m.Mars:a=-1.52;l=1.6;break;case m.Jupiter:a=-9.4;l=.5;break;case m.Uranus:a=-7.19;l=.25;break;case m.Neptune:a=-6.87;break;case m.Pluto:a=-1;l=4;break;default:throw"VisualMagnitude: unsupported body "+a;}var q=d/100;l=a+q*(l+q*(n+q*p))+5*Math.log10(h*g)}return new pc(c,l,d,h,g,f,b,k)}function Va(a){if(a===m.Earth)throw"The Earth does not have a synodic period as seen from itself.";
if(a===m.Moon)return 29.530588;var b=aa[a];if(!b)throw"Not a valid planet name: "+a;a=aa.Earth.OrbitalPeriod;return Math.abs(a/(a/b.OrbitalPeriod-1))}function Ia(a,b,c){function d(n){var p=qa(a,n);n=qa(m.Earth,n);return Fa(g*(n-p)-b)}w(b);var f=aa[a];if(!f)throw"Cannot search relative longitude because body is not a planet: "+a;if(a===m.Earth)throw"Cannot search relative longitude for the Earth (it is always 0)";var g=f.OrbitalPeriod>aa.Earth.OrbitalPeriod?1:-1;f=Va(a);c=v(c);var h=d(c);0<h&&(h-=
360);for(var l=0;100>l;++l){var k=-h/360*f;c=c.AddDays(k);if(1>86400*Math.abs(k))return c;k=h;h=d(c);30>Math.abs(k)&&k!==h&&(k/=k-h,.5<k&&2>k&&(f*=k))}throw"Relative longitude search failed to converge for "+a+" near "+c.toString()+" (error_angle = "+h+").";}function Kb(a){return Jb(m.Moon,m.Sun,a)}function Wa(a,b,c){function d(l){l=Kb(l);return Fa(l-a)}w(a);w(c);b=v(b);var f=d(b);if(0>c){0>f&&(f+=360);var g=-(29.530588*f)/360;f=g+1.5;if(f<c)return null;var h=Math.max(c,g-1.5)}else{0<f&&(f-=360);
g=-(29.530588*f)/360;h=g-1.5;if(h>c)return null;f=Math.min(c,g+1.5)}c=b.AddDays(h);b=b.AddDays(f);return K(d,c,b,{dt_tolerance_seconds:.1})}function qc(a){var b=Kb(a);b=(Math.floor(b/90)+1)%4;a=Wa(90*b,a,10);if(!a)throw"Cannot find moon quarter";return new rc(b,a)}function sc(a){if(!Number.isFinite(a)||-500>a||1E5<a)throw"Invalid elevation: "+a;if(11E3>=a){var b=288.15-.0065*a;a=101325*Math.pow(288.15/b,-5.25577)}else 2E4>=a?(b=216.65,a=22632*Math.exp(-1.5768832E-4*(a-11E3))):(b=216.65+.001*(a-2E4),
a=5474.87*Math.pow(216.65/b,34.16319));return new tc(a,b,a/b/(101325/288.15))}function Lb(a,b,c,d,f,g,h){if(0>g&&0<=h)return new ud(d,f,g,h);if(0<=g&&0>h)return null;if(17<a)throw"Excessive recursion in rise/set ascent search.";var l=f.ut-d.ut;if(1>86400*l||Math.min(Math.abs(g),Math.abs(h))>l/2*c)return null;l=new O((d.ut+f.ut)/2);var k=b(l);return Lb(1+a,b,c,d,l,g,k)||Lb(1+a,b,c,l,f,k,h)}function vd(a,b){if(-90>b||90<b)throw"Invalid geographic latitude: "+b;switch(a){case m.Moon:a=4.5;var c=8.2;
break;case m.Sun:a=.8;c=.5;break;case m.Mercury:a=-1.6;c=1;break;case m.Venus:a=-.8;c=.6;break;case m.Mars:a=-.5;c=.4;break;case m.Jupiter:case m.Saturn:case m.Uranus:case m.Neptune:case m.Pluto:a=-.2;c=.2;break;case m.Star1:case m.Star2:case m.Star3:case m.Star4:case m.Star5:case m.Star6:case m.Star7:case m.Star8:a=-.008;c=.008;break;default:throw"Body not allowed for altitude search: "+a;}b*=e.DEG2RAD;return Math.abs((360.98564540070413-a)*Math.cos(b))+Math.abs(c*Math.sin(b))}function uc(a,b,c,
d,f,g,h){function l(x){var z=Pa(a,x,b,!0,!0);x=hb(x,b,z.ra,z.dec).altitude+e.RAD2DEG*Math.asin(g/z.dist);return c*(x-h)}za(b);w(f);w(g);w(h);if(-90>h||90<h)throw"Invalid target altitude angle: "+h;for(var k=vd(a,b.latitude),n=d=v(d),p=d,q=l(n),t=q;;){0>f?(n=p.AddDays(-.42),q=l(n)):(p=n.AddDays(.42),t=l(p));var y=Lb(0,l,k,n,p,q,t);if(y){if(k=K(l,y.tx,y.ty,{dt_tolerance_seconds:.1,init_f1:y.ax,init_f2:y.ay})){if(0>f){if(k.ut<d.ut+f)return null}else if(k.ut>d.ut+f)return null;return k}throw"Rise/set search failed after finding ascent: t1="+
n+", t2="+p+", a1="+q+", a2="+t;}if(0>f){if(n.ut<d.ut+f)return null;p=n;t=q}else{if(p.ut>d.ut+f)return null;n=p;q=t}}}function vc(a,b){b=v(b);var c=Jb(a,m.Sun,b);if(180<c){var d="morning";c=360-c}else d="evening";a=Ha(a,b);return new wc(b,d,a,c)}function xc(a){function b(l){var k=l.AddDays(-5E-4);l=l.AddDays(5E-4);k=ea(k).distance_au;return(ea(l).distance_au-k)/.001}function c(l){return-b(l)}a=v(a);for(var d=b(a),f=0;59.061176>5*f;++f){var g=a.AddDays(5),h=b(g);if(0>=d*h){if(0>d||0<h){a=K(b,a,g,{init_f1:d,
init_f2:h});if(!a)throw"SearchLunarApsis INTERNAL ERROR: perigee search failed!";d=ea(a).distance_au;return new Xa(a,0,d)}if(0<d||0>h){a=K(c,a,g,{init_f1:-d,init_f2:-h});if(!a)throw"SearchLunarApsis INTERNAL ERROR: apogee search failed!";d=ea(a).distance_au;return new Xa(a,1,d)}throw"SearchLunarApsis INTERNAL ERROR: cannot classify apsis event!";}a=g;d=h}throw"SearchLunarApsis INTERNAL ERROR: could not find apsis within 2 synodic months of start date.";}function yc(a,b,c,d){for(var f=b===Ja.Apocenter?
1:-1;;){d/=9;if(d<1/1440)return c=c.AddDays(d/2),a=oa(a,c),new Xa(c,b,a);for(var g=-1,h=0,l=0;10>l;++l){var k=c.AddDays(l*d);k=f*oa(a,k);if(0==l||k>h)g=l,h=k}c=c.AddDays((g-1)*d);d*=2}}function wd(a,b){var c=b.AddDays(-30/360*aa[a].OrbitalPeriod),d=b.AddDays(.75*aa[a].OrbitalPeriod),f=c,g=c,h=-1,l=-1;d=(d.ut-c.ut)/99;for(var k=0;100>k;++k){var n=c.AddDays(k*d),p=oa(a,n);0===k?l=h=p:(p>l&&(l=p,g=n),p<h&&(h=p,f=n))}c=yc(a,0,f.AddDays(-2*d),4*d);a=yc(a,1,g.AddDays(-2*d),4*d);if(c.time.tt>=b.tt)return a.time.tt>=
b.tt&&a.time.tt<c.time.tt?a:c;if(a.time.tt>=b.tt)return a;throw"Internal error: failed to find Neptune apsis.";}function zc(a,b){function c(p){var q=p.AddDays(-5E-4);p=p.AddDays(5E-4);q=oa(a,q);return(oa(a,p)-q)/.001}function d(p){return-c(p)}b=v(b);if(a===m.Neptune||a===m.Pluto)return wd(a,b);for(var f=aa[a].OrbitalPeriod,g=f/6,h=c(b),l=0;l*g<2*f;++l){var k=b.AddDays(g),n=c(k);if(0>=h*n){f=g=void 0;if(0>h||0<n)g=c,f=Ja.Pericenter;else if(0<h||0>n)g=d,f=Ja.Apocenter;else throw"Internal error with slopes in SearchPlanetApsis";
b=K(g,b,k);if(!b)throw"Failed to find slope transition in planetary apsis search.";h=oa(a,b);return new Xa(b,f,h)}b=k;h=n}throw"Internal error: should have found planetary apsis within 2 orbital periods.";}function Ka(a){return new J([[a.rot[0][0],a.rot[1][0],a.rot[2][0]],[a.rot[0][1],a.rot[1][1],a.rot[2][1]],[a.rot[0][2],a.rot[1][2],a.rot[2][2]]])}function ja(a,b){return new J([[b.rot[0][0]*a.rot[0][0]+b.rot[1][0]*a.rot[0][1]+b.rot[2][0]*a.rot[0][2],b.rot[0][1]*a.rot[0][0]+b.rot[1][1]*a.rot[0][1]+
b.rot[2][1]*a.rot[0][2],b.rot[0][2]*a.rot[0][0]+b.rot[1][2]*a.rot[0][1]+b.rot[2][2]*a.rot[0][2]],[b.rot[0][0]*a.rot[1][0]+b.rot[1][0]*a.rot[1][1]+b.rot[2][0]*a.rot[1][2],b.rot[0][1]*a.rot[1][0]+b.rot[1][1]*a.rot[1][1]+b.rot[2][1]*a.rot[1][2],b.rot[0][2]*a.rot[1][0]+b.rot[1][2]*a.rot[1][1]+b.rot[2][2]*a.rot[1][2]],[b.rot[0][0]*a.rot[2][0]+b.rot[1][0]*a.rot[2][1]+b.rot[2][0]*a.rot[2][2],b.rot[0][1]*a.rot[2][0]+b.rot[1][1]*a.rot[2][1]+b.rot[2][1]*a.rot[2][2],b.rot[0][2]*a.rot[2][0]+b.rot[1][2]*a.rot[2][1]+
b.rot[2][2]*a.rot[2][2]]])}function lb(a,b){b=v(b);var c=a.lat*e.DEG2RAD,d=a.lon*e.DEG2RAD,f=a.dist*Math.cos(c);return new E(f*Math.cos(d),f*Math.sin(d),a.dist*Math.sin(c),b)}function Mb(a){var b=Nb(a);return new gb(b.lon/15,b.lat,b.dist,a)}function Nb(a){var b=a.x*a.x+a.y*a.y,c=Math.sqrt(b+a.z*a.z);if(0===b){if(0===a.z)throw"Zero-length vector not allowed.";var d=0;a=0>a.z?-90:90}else d=e.RAD2DEG*Math.atan2(a.y,a.x),0>d&&(d+=360),a=e.RAD2DEG*Math.atan2(a.z,Math.sqrt(b));return new Ba(a,d,c)}function Ac(a){a=
360-a;360<=a?a-=360:0>a&&(a+=360);return a}function Oa(a,b){w(b);if(-90>b||90<b)return 0;if("normal"===a||"jplhor"===a){var c=b;-1>c&&(c=-1);c=1.02/Math.tan((c+10.3/(c+5.11))*e.DEG2RAD)/60;"normal"===a&&-1>b&&(c*=(b+90)/89)}else{if(a)throw"Invalid refraction option: "+a;c=0}return c}function Bc(a,b){if(-90>b||90<b)return 0;for(var c=b-Oa(a,b);;){var d=c+Oa(a,c)-b;if(1E-14>Math.abs(d))return c-b;c-=d}}function Ya(a,b){return new E(a.rot[0][0]*b.x+a.rot[1][0]*b.y+a.rot[2][0]*b.z,a.rot[0][1]*b.x+a.rot[1][1]*
b.y+a.rot[2][1]*b.z,a.rot[0][2]*b.x+a.rot[1][2]*b.y+a.rot[2][2]*b.z,b.t)}function Ea(a,b){return new I(a.rot[0][0]*b.x+a.rot[1][0]*b.y+a.rot[2][0]*b.z,a.rot[0][1]*b.x+a.rot[1][1]*b.y+a.rot[2][1]*b.z,a.rot[0][2]*b.x+a.rot[1][2]*b.y+a.rot[2][2]*b.z,a.rot[0][0]*b.vx+a.rot[1][0]*b.vy+a.rot[2][0]*b.vz,a.rot[0][1]*b.vx+a.rot[1][1]*b.vy+a.rot[2][1]*b.vz,a.rot[0][2]*b.vx+a.rot[1][2]*b.vy+a.rot[2][2]*b.vz,b.t)}function Cc(){return new J([[1,0,0],[0,.9174821430670688,-.3977769691083922],[0,.3977769691083922,
.9174821430670688]])}function ob(a){a=v(a);var b=Ma(a,F.From2000);a=Na(a,F.From2000);return ja(b,a)}function pb(a){a=v(a);var b=Na(a,F.Into2000);a=Ma(a,F.Into2000);return ja(b,a)}function Ob(a,b){a=v(a);var c=Math.sin(b.latitude*e.DEG2RAD),d=Math.cos(b.latitude*e.DEG2RAD),f=Math.sin(b.longitude*e.DEG2RAD),g=Math.cos(b.longitude*e.DEG2RAD);b=[d*g,d*f,c];c=[-c*g,-c*f,d];f=[f,-g,0];a=-15*ca(a);b=ya(a,b);c=ya(a,c);a=ya(a,f);return new J([[c[0],a[0],b[0]],[c[1],a[1],b[1]],[c[2],a[2],b[2]]])}function Dc(a,
b){a=Ob(a,b);return Ka(a)}function Ec(a,b){a=v(a);b=Dc(a,b);a=pb(a);return ja(b,a)}function Fc(a){a=pb(a);var b=Cc();return ja(a,b)}function Gc(a){a=Fc(a);return Ka(a)}function Hc(a,b){a=v(a);var c=Gc(a);a=Ob(a,b);return ja(c,a)}function Ic(a){var b=da(v(a)).tobl*e.DEG2RAD;a=Math.cos(b);b=Math.sin(b);return new J([[1,0,0],[0,+a,+b],[0,-b,+a]])}function Jc(a){var b=da(v(a)).tobl*e.DEG2RAD;a=Math.cos(b);b=Math.sin(b);return new J([[1,0,0],[0,+a,-b],[0,+b,+a]])}function Za(a,b,c,d){var f=(d.x*c.x+d.y*
c.y+d.z*c.z)/(d.x*d.x+d.y*d.y+d.z*d.z);return new xd(b,f,e.KM_PER_AU*Math.hypot(f*d.x-c.x,f*d.y-c.y,f*d.z-c.z),695700-(1+f)*(695700-a),-695700+(1+f)*(695700+a),c,d)}function qb(a){var b=W(m.Sun,a,!0);b=new E(-b.x,-b.y,-b.z,b.t);var c=Y(a);return Za(6459,a,c,b)}function Kc(a){var b=W(m.Sun,a,!0),c=Y(a),d=new E(-c.x,-c.y,-c.z,c.t);c.x-=b.x;c.y-=b.y;c.z-=b.z;return Za(1737.4,a,d,c)}function Pb(a,b){var c=cc(a,b);b=W(m.Sun,a,!0);var d=Y(a);c=new E(c[0]-d.x,c[1]-d.y,c[2]-d.z,a);d.x-=b.x;d.y-=b.y;d.z-=
b.z;return Za(1737.4,a,c,d)}function rb(a,b,c){a=W(a,c,!0);var d=W(m.Sun,c,!0),f=new E(a.x-d.x,a.y-d.y,a.z-d.z,c);d.x=-a.x;d.y=-a.y;d.z=-a.z;return Za(b,c,d,f)}function Qb(a,b){var c=1/86400,d=b.AddDays(-c);b=b.AddDays(+c);d=a(d);return(a(b).r-d.r)/c}function yd(a){var b=a.AddDays(-.03);a=a.AddDays(.03);b=K(function(c){return Qb(qb,c)},b,a);if(!b)throw"Failed to find peak Earth shadow time.";return qb(b)}function zd(a){var b=a.AddDays(-.03);a=a.AddDays(.03);b=K(function(c){return Qb(Kc,c)},b,a);if(!b)throw"Failed to find peak Moon shadow time.";
return Kc(b)}function Ad(a,b,c){var d=c.AddDays(-1);c=c.AddDays(1);d=K(function(f){var g=1/86400,h=rb(a,b,f.AddDays(-g));return(rb(a,b,f.AddDays(+g)).r-h.r)/g},d,c);if(!d)throw"Failed to find peak planet shadow time.";return rb(a,b,d)}function Bd(a,b){function c(g){return Pb(g,b)}var d=a.AddDays(-.2),f=a.AddDays(.2);d=K(function(g){return Qb(c,g)},d,f);if(!d)throw"PeakLocalMoonShadow: search failure for search_center_time = "+a;return Pb(d,b)}function Rb(a,b,c){var d=c/1440;c=a.AddDays(-d);d=a.AddDays(+d);
c=K(function(f){return-(qb(f).r-b)},c,a);a=K(function(f){return+(qb(f).r-b)},a,d);if(!c||!a)throw"Failed to find shadow semiduration";return 720*(a.ut-c.ut)}function Sb(a){a=ea(a);return e.RAD2DEG*a.geo_eclip_lat}function Lc(a,b,c){if(0>=a)throw"Radius of first disc must be positive.";if(0>=b)throw"Radius of second disc must be positive.";if(0>c)throw"Distance between discs is not allowed to be negative.";if(c>=a+b)return 0;if(0==c)return a<=b?1:b*b/(a*a);var d=(a*a-b*b+c*c)/(2*c),f=a*a-d*d;if(0>=
f)return a<=b?1:b*b/(a*a);f=Math.sqrt(f);return(a*a*Math.acos(d/a)-d*f+(b*b*Math.acos((c-d)/b)-(c-d)*f))/(Math.PI*a*a)}function Mc(a,b){var c=new E(a.x+b.x,a.y+b.y,a.z+b.z,a.t);a=Math.asin(Nc/c.Length());var d=Math.asin(Cd/b.Length());b=N(b,c);b=Lc(a,d,b*e.DEG2RAD);return Math.min(.9999,b)}function Oc(a){a=v(a);for(var b=0;12>b;++b){var c=Wa(180,a,40);if(!c)throw"Cannot find full moon.";a=Sb(c);if(1.8>Math.abs(a)&&(a=yd(c),a.r<a.p+1737.4)){b=S.Penumbral;var d=c=0,f=0,g=Rb(a.time,a.p+1737.4,200);a.r<
a.k+1737.4&&(b=S.Partial,f=Rb(a.time,a.k+1737.4,g),a.r+1737.4<a.k?(b=S.Total,c=1,d=Rb(a.time,a.k-1737.4,f)):c=Lc(1737.4,a.k,a.r));return new Pc(b,c,a.time,g,f,d)}a=c.AddDays(10)}throw"Failed to find lunar eclipse within 12 full moons.";}function Qc(a){a=v(a);var b;for(b=0;12>b;++b){var c=Wa(0,a,40);if(!c)throw"Cannot find new moon";a=Sb(c);if(1.8>Math.abs(a)&&(a=zd(c),a.r<a.p+6371)){var d=void 0,f=void 0,g=S.Partial;b=a.time;c=a.r;var h=ob(a.time),l=Ya(h,a.dir),k=Ya(h,a.target);l.x*=e.KM_PER_AU;l.y*=
e.KM_PER_AU;l.z*=e.KM_PER_AU/.996647180302104;k.x*=e.KM_PER_AU;k.y*=e.KM_PER_AU;k.z*=e.KM_PER_AU/.996647180302104;var n=l.x*l.x+l.y*l.y+l.z*l.z,p=-2*(l.x*k.x+l.y*k.y+l.z*k.z),q=p*p-4*n*(k.x*k.x+k.y*k.y+k.z*k.z-4.068062648825956E7);if(0<q){f=(-p-Math.sqrt(q))/(2*n);g=f*l.x-k.x;n=f*l.y-k.y;l=.996647180302104*(f*l.z-k.z);f=.9933056020041345*Math.hypot(g,n);f=0==f?0<l?90:-90:e.RAD2DEG*Math.atan(l/f);d=ca(b);d=(e.RAD2DEG*Math.atan2(n,g)-15*d)%360;-180>=d?d+=360:180<d&&(d-=360);h=Ka(h);l=new E(g/e.KM_PER_AU,
n/e.KM_PER_AU,l/e.KM_PER_AU,a.time);l=Ya(h,l);l.x+=a.target.x;l.y+=a.target.y;l.z+=a.target.z;h=Za(1736,a.time,l,a.dir);if(1E-9<h.r||0>h.r)throw"Unexpected shadow distance from geoid intersection = "+h.r;g=.014<h.k?S.Total:S.Annular;a=g===S.Total?1:Mc(a.dir,l)}else a=void 0;return new Rc(g,a,b,c,f,d)}a=c.AddDays(10)}throw"Failed to find solar eclipse within 12 full moons.";}function Sc(a){return a.p-a.r}function Tc(a){return Math.abs(a.k)-a.r}function sb(a,b,c,d,f){d=K(function(g){g=Pb(g,a);return b*
c(g)},d,f);if(!d)throw"Local eclipse transition search failed.";return Uc(a,d)}function Uc(a,b){var c=Pa(m.Sun,b,a,!0,!0);a=hb(b,a,c.ra,c.dec,"normal").altitude;return new Vc(b,a)}function Wc(a,b){a=v(a);for(za(b);;){a=Wa(0,a,40);if(!a)throw"Cannot find next new moon";var c=Sb(a);if(1.8>Math.abs(c)){var d=Bd(a,b);if(d.r<d.p){var f=c=void 0;var g=b;var h=Uc(g,d.time),l=d.time.AddDays(-.2),k=d.time.AddDays(.2),n=sb(g,1,Sc,l,d.time),p=sb(g,-1,Sc,d.time,k);d.r<Math.abs(d.k)?(l=d.time.AddDays(-.01),k=
d.time.AddDays(.01),f=sb(g,1,Tc,l,d.time),c=sb(g,-1,Tc,d.time,k),g=.014<d.k?S.Total:S.Annular):g=S.Partial;d=g===S.Total?1:Mc(d.dir,d.target);c=new Xc(g,d,n,f,h,c,p);if(0<c.partial_begin.altitude||0<c.partial_end.altitude)return c}}a=a.AddDays(10)}}function Yc(a,b,c,d,f){c=K(function(g){g=rb(a,b,g);return f*(g.r-g.p)},c,d);if(!c)throw"Planet transit boundary search failed";return c}function Zc(a,b){b=v(b);switch(a){case m.Mercury:var c=2439.7;break;case m.Venus:c=6051.8;break;default:throw"Invalid body: "+
a;}for(;;){var d=Ia(a,0,b);if(.4>Ha(a,d)&&(b=Ad(a,c,d),b.r<b.p)){d=b.time.AddDays(-1);d=Yc(a,c,d,b.time,-1);var f=b.time.AddDays(1);c=Yc(a,c,b.time,f,1);a=60*Ha(a,b.time);return new $c(d,b.time,c,a)}b=d.AddDays(10)}}function ad(a){var b=v(a),c=ib(b);for(a={};;a={$jscomp$loop$prop$kind$33:a.$jscomp$loop$prop$kind$33}){var d=b.AddDays(10),f=ib(d);if(0>=c.lat*f.lat){a.$jscomp$loop$prop$kind$33=f.lat>c.lat?ra.Ascending:ra.Descending;b=K(function(g){return function(h){return g.$jscomp$loop$prop$kind$33*
ib(h).lat}}(a),b,d);if(!b)throw"Could not find moon node.";return new bd(a.$jscomp$loop$prop$kind$33,b)}b=d;c=f}}function cd(a,b,c,d,f){if(1>a||5<a)throw"Invalid lagrange point "+a;if(!Number.isFinite(c)||0>=c)throw"Major mass must be a positive number.";if(!Number.isFinite(f)||0>=f)throw"Minor mass must be a negative number.";var g=d.x-b.x,h=d.y-b.y,l=d.z-b.z,k=g*g+h*h+l*l,n=Math.sqrt(k),p=d.vx-b.vx,q=d.vy-b.vy;d=d.vz-b.vz;if(4===a||5===a){k=h*d-l*q;c=l*p-g*d;var t=g*q-h*p,y=c*l-t*h;t=t*g-k*l;k=
k*h-c*g;c=Math.sqrt(y*y+t*t+k*k);y/=c;t/=c;k/=c;g/=n;h/=n;l/=n;a=4==a?.8660254037844386:-.8660254037844386;c=.5*g+a*y;f=.5*h+a*t;var x=.5*l+a*k,z=p*g+q*h+d*l;p=p*y+q*t+d*k;b=new I(n*c,n*f,n*x,z*c+p*(.5*y-a*g),z*f+p*(.5*t-a*h),z*x+p*(.5*k-a*l),b.t)}else{y=f/(c+f)*-n;t=c/(c+f)*+n;k=(c+f)/(k*n);if(1===a||2===a)x=c/(c+f)*Math.cbrt(f/(3*c)),c=-c,1==a?(x=1-x,a=+f):(x=1+x,a=-f);else if(3===a)x=(7/12*f-c)/(f+c),c=+c,a=+f;else throw"Invalid Langrage point "+a+". Must be an integer 1..5.";f=n*x-y;do x=f-y,
z=f-t,x=(k*f+c/(x*x)+a/(z*z))/(k-2*c/(x*x*x)-2*a/(z*z*z)),f-=x;while(1E-14<Math.abs(x/n));x=(f-y)/n;b=new I(x*g,x*h,x*l,x*p,x*q,x*d,b.t)}return b}Object.defineProperty(e,"__esModule",{value:!0});e.GeoEmbState=e.GeoMoonState=e.EclipticGeoMoon=e.GeoMoon=e.Ecliptic=e.ObserverGravity=e.VectorObserver=e.ObserverState=e.ObserverVector=e.Equator=e.SunPosition=e.Observer=e.Horizon=e.EclipticCoordinates=e.HorizontalCoordinates=e.MakeRotation=e.RotationMatrix=e.EquatorialCoordinates=e.Spherical=e.StateVector=
e.Vector=e.SiderealTime=e.Libration=e.LibrationInfo=e.CalcMoonCount=e.e_tilt=e.MakeTime=e.AstroTime=e.SetDeltaTFunction=e.DeltaT_JplHorizons=e.DeltaT_EspenakMeeus=e.PlanetOrbitalPeriod=e.DefineStar=e.Body=e.AngleBetween=e.MassProduct=e.CALLISTO_RADIUS_KM=e.GANYMEDE_RADIUS_KM=e.EUROPA_RADIUS_KM=e.IO_RADIUS_KM=e.JUPITER_MEAN_RADIUS_KM=e.JUPITER_POLAR_RADIUS_KM=e.JUPITER_EQUATORIAL_RADIUS_KM=e.RAD2HOUR=e.RAD2DEG=e.HOUR2RAD=e.DEG2RAD=e.AU_PER_LY=e.KM_PER_AU=e.C_AUDAY=void 0;e.VectorFromHorizon=e.HorizonFromVector=
e.SphereFromVector=e.EquatorFromVector=e.VectorFromSphere=e.Pivot=e.IdentityMatrix=e.CombineRotation=e.InverseRotation=e.NextPlanetApsis=e.SearchPlanetApsis=e.NextLunarApsis=e.SearchLunarApsis=e.Apsis=e.ApsisKind=e.SearchPeakMagnitude=e.SearchMaxElongation=e.Elongation=e.ElongationEvent=e.Seasons=e.SeasonInfo=e.HourAngle=e.SearchHourAngle=e.HourAngleEvent=e.SearchAltitude=e.SearchRiseSet=e.Atmosphere=e.AtmosphereInfo=e.NextMoonQuarter=e.SearchMoonQuarter=e.MoonQuarter=e.SearchMoonPhase=e.MoonPhase=
e.SearchRelativeLongitude=e.Illumination=e.IlluminationInfo=e.EclipticLongitude=e.AngleFromSun=e.PairLongitude=e.SearchSunLongitude=e.Search=e.HelioState=e.BaryState=e.GeoVector=e.BackdatePosition=e.CorrectLightTravel=e.HelioDistance=e.HelioVector=e.JupiterMoons=e.JupiterMoonsInfo=void 0;e.GravitySimulator=e.LagrangePointFast=e.LagrangePoint=e.RotationAxis=e.AxisInfo=e.NextMoonNode=e.SearchMoonNode=e.NodeEventInfo=e.NodeEventKind=e.NextTransit=e.SearchTransit=e.TransitInfo=e.NextLocalSolarEclipse=
e.SearchLocalSolarEclipse=e.LocalSolarEclipseInfo=e.EclipseEvent=e.NextGlobalSolarEclipse=e.SearchGlobalSolarEclipse=e.NextLunarEclipse=e.GlobalSolarEclipseInfo=e.SearchLunarEclipse=e.LunarEclipseInfo=e.EclipseKind=e.Constellation=e.ConstellationInfo=e.Rotation_EQD_ECT=e.Rotation_ECT_EQD=e.Rotation_GAL_EQJ=e.Rotation_EQJ_GAL=e.Rotation_HOR_ECL=e.Rotation_ECL_HOR=e.Rotation_ECL_EQD=e.Rotation_EQD_ECL=e.Rotation_EQJ_HOR=e.Rotation_HOR_EQJ=e.Rotation_HOR_EQD=e.Rotation_EQD_HOR=e.Rotation_EQD_EQJ=e.Rotation_ECT_EQJ=
e.Rotation_EQJ_ECT=e.Rotation_EQJ_EQD=e.Rotation_ECL_EQJ=e.Rotation_EQJ_ECL=e.RotateState=e.RotateVector=e.InverseRefraction=e.Refraction=void 0;e.C_AUDAY=173.1446326846693;e.KM_PER_AU=1.4959787069098932E8;e.AU_PER_LY=63241.07708807546;e.DEG2RAD=.017453292519943295;e.HOUR2RAD=.26179938779914946;e.RAD2DEG=57.29577951308232;e.RAD2HOUR=3.819718634205488;e.JUPITER_EQUATORIAL_RADIUS_KM=71492;e.JUPITER_POLAR_RADIUS_KM=66854;e.JUPITER_MEAN_RADIUS_KM=69911;e.IO_RADIUS_KM=1821.6;e.EUROPA_RADIUS_KM=1560.8;
e.GANYMEDE_RADIUS_KM=2631.2;e.CALLISTO_RADIUS_KM=2410.3;var dd=new Date("2000-01-01T12:00:00Z"),U=2*Math.PI,ia=180/Math.PI*3600,td=-.17-5*Math.log10(648E3/Math.PI),Nc=695700/e.KM_PER_AU,pd=6378.1366/e.KM_PER_AU,Dd=1738.1/e.KM_PER_AU,Cd=1736/e.KM_PER_AU,Ed=34/60;e.MassProduct=C;e.AngleBetween=N;var m;(function(a){a.Sun="Sun";a.Moon="Moon";a.Mercury="Mercury";a.Venus="Venus";a.Earth="Earth";a.Mars="Mars";a.Jupiter="Jupiter";a.Saturn="Saturn";a.Uranus="Uranus";a.Neptune="Neptune";a.Pluto="Pluto";a.SSB=
"SSB";a.EMB="EMB";a.Star1="Star1";a.Star2="Star2";a.Star3="Star3";a.Star4="Star4";a.Star5="Star5";a.Star6="Star6";a.Star7="Star7";a.Star8="Star8"})(m=e.Body||(e.Body={}));var ld=[m.Star1,m.Star2,m.Star3,m.Star4,m.Star5,m.Star6,m.Star7,m.Star8],md=[{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0}];e.DefineStar=function(a,b,c,d){var f=T(a);if(!f)throw"Invalid star body: "+a;w(b);w(c);w(d);
if(0>b||24<=b)throw"Invalid right ascension for star: "+b;if(-90>c||90<c)throw"Invalid declination for star: "+c;if(1>d)throw"Invalid star distance: "+d;f.ra=b;f.dec=c;f.dist=d*e.AU_PER_LY};var F;(function(a){a[a.From2000=0]="From2000";a[a.Into2000=1]="Into2000"})(F||(F={}));var aa={Mercury:{OrbitalPeriod:87.969},Venus:{OrbitalPeriod:224.701},Earth:{OrbitalPeriod:365.256},Mars:{OrbitalPeriod:686.98},Jupiter:{OrbitalPeriod:4332.589},Saturn:{OrbitalPeriod:10759.22},Uranus:{OrbitalPeriod:30685.4},Neptune:{OrbitalPeriod:60189},
Pluto:{OrbitalPeriod:90560}};e.PlanetOrbitalPeriod=function(a){if(a in aa)return aa[a].OrbitalPeriod;throw"Unknown orbital period for: "+a;};var M={Mercury:[[[[4.40250710144,0,0],[.40989414977,1.48302034195,26087.9031415742],[.050462942,4.47785489551,52175.8062831484],[.00855346844,1.16520322459,78263.70942472259],[.00165590362,4.11969163423,104351.61256629678],[3.4561897E-4,.77930768443,130439.51570787099],[7.583476E-5,3.71348404924,156527.41884944518]],[[26087.90313685529,0,0],[.01131199811,6.21874197797,
26087.9031415742],[.00292242298,3.04449355541,52175.8062831484],[7.5775081E-4,6.08568821653,78263.70942472259],[1.9676525E-4,2.80965111777,104351.61256629678]]],[[[.11737528961,1.98357498767,26087.9031415742],[.02388076996,5.03738959686,52175.8062831484],[.01222839532,3.14159265359,0],[.0054325181,1.79644363964,78263.70942472259],[.0012977877,4.83232503958,104351.61256629678],[3.1866927E-4,1.58088495658,130439.51570787099],[7.963301E-5,4.60972126127,156527.41884944518]],[[.00274646065,3.95008450011,
26087.9031415742],[9.9737713E-4,3.14159265359,0]]],[[[.39528271651,0,0],[.07834131818,6.19233722598,26087.9031415742],[.00795525558,2.95989690104,52175.8062831484],[.00121281764,6.01064153797,78263.70942472259],[2.1921969E-4,2.77820093972,104351.61256629678],[4.354065E-5,5.82894543774,130439.51570787099]],[[.0021734774,4.65617158665,26087.9031415742],[4.4141826E-4,1.42385544001,52175.8062831484]]]],Venus:[[[[3.17614666774,0,0],[.01353968419,5.59313319619,10213.285546211],[8.9891645E-4,5.30650047764,
20426.571092422],[5.477194E-5,4.41630661466,7860.4193924392],[3.455741E-5,2.6996444782,11790.6290886588],[2.372061E-5,2.99377542079,3930.2096962196],[1.317168E-5,5.18668228402,26.2983197998],[1.664146E-5,4.25018630147,1577.3435424478],[1.438387E-5,4.15745084182,9683.5945811164],[1.200521E-5,6.15357116043,30639.856638633]],[[10213.28554621638,0,0],[9.5617813E-4,2.4640651111,10213.285546211],[7.787201E-5,.6247848222,20426.571092422]]],[[[.05923638472,.26702775812,10213.285546211],[4.0107978E-4,1.14737178112,
20426.571092422],[3.2814918E-4,3.14159265359,0]],[[.00287821243,1.88964962838,10213.285546211]]],[[[.72334820891,0,0],[.00489824182,4.02151831717,10213.285546211],[1.658058E-5,4.90206728031,20426.571092422],[1.378043E-5,1.12846591367,11790.6290886588],[1.632096E-5,2.84548795207,7860.4193924392],[4.98395E-6,2.58682193892,9683.5945811164],[2.21985E-6,2.01346696541,19367.1891622328],[2.37454E-6,2.55136053886,15720.8387848784]],[[3.4551041E-4,.89198706276,10213.285546211]]]],Earth:[[[[1.75347045673,0,
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B=function(a,b,c){this.x=a;this.y=b;this.z=c};B.prototype.clone=function(){return new B(this.x,this.y,this.z)};B.prototype.ToAstroVector=function(a){return new E(this.x,this.y,this.z,a)};B.zero=function(){return new B(0,0,0)};B.prototype.quadrature=function(){return this.x*this.x+this.y*this.y+this.z*this.z};B.prototype.add=function(a){return new B(this.x+a.x,this.y+a.y,this.z+a.z)};B.prototype.sub=function(a){return new B(this.x-a.x,this.y-a.y,this.z-a.z)};B.prototype.incr=function(a){this.x+=a.x;
this.y+=a.y;this.z+=a.z};B.prototype.decr=function(a){this.x-=a.x;this.y-=a.y;this.z-=a.z};B.prototype.mul=function(a){return new B(a*this.x,a*this.y,a*this.z)};B.prototype.div=function(a){return new B(this.x/a,this.y/a,this.z/a)};B.prototype.mean=function(a){return new B((this.x+a.x)/2,(this.y+a.y)/2,(this.z+a.z)/2)};B.prototype.neg=function(){return new B(-this.x,-this.y,-this.z)};var X=function(a,b,c){this.tt=a;this.r=b;this.v=c};X.prototype.clone=function(){return new X(this.tt,this.r,this.v)};
X.prototype.sub=function(a){return new X(this.tt,this.r.sub(a.r),this.v.sub(a.v))};var Da=function(a){var b=new X(a,new B(0,0,0),new B(0,0,0));this.Jupiter=R(b,a,m.Jupiter,2.825345909524226E-7);this.Saturn=R(b,a,m.Saturn,8.459715185680659E-8);this.Uranus=R(b,a,m.Uranus,1.292024916781969E-8);this.Neptune=R(b,a,m.Neptune,1.524358900784276E-8);this.Jupiter.r.decr(b.r);this.Jupiter.v.decr(b.v);this.Saturn.r.decr(b.r);this.Saturn.v.decr(b.v);this.Uranus.r.decr(b.r);this.Uranus.v.decr(b.v);this.Neptune.r.decr(b.r);
this.Neptune.v.decr(b.v);this.Sun=new X(a,b.r.mul(-1),b.v.mul(-1))};Da.prototype.Acceleration=function(a){var b=Ta(a,2.959122082855911E-4,this.Sun.r);b.incr(Ta(a,2.825345909524226E-7,this.Jupiter.r));b.incr(Ta(a,8.459715185680659E-8,this.Saturn.r));b.incr(Ta(a,1.292024916781969E-8,this.Uranus.r));b.incr(Ta(a,1.524358900784276E-8,this.Neptune.r));return b};var Ua=function(a,b,c,d){this.tt=a;this.r=b;this.v=c;this.a=d};Ua.prototype.clone=function(){return new Ua(this.tt,this.r.clone(),this.v.clone(),
this.a.clone())};var ic=function(a,b){this.bary=a;this.grav=b},Ib=[],rd=new J([[.999432765338654,-.0336771074697641,0],[.0303959428906285,.902057912352809,.430543388542295],[-.0144994559663353,-.430299169409101,.902569881273754]]),tb=[{mu:2.82489428433814E-7,al:[1.446213296021224,3.5515522861824],a:[[.0028210960212903,0,0]],l:[[-1.925258348666E-4,4.9369589722645,.01358483658305],[-9.70803596076E-5,4.3188796477322,.01303413843243],[-8.988174165E-5,1.9080016428617,.00305064867158],[-5.53101050262E-5,
1.4936156681569,.01293892891155]],z:[[.0041510849668155,4.089939635545,-.01290686414666],[6.260521444113E-4,1.446188898627,3.5515522949802],[3.52747346169E-5,2.1256287034578,1.2727416567E-4]],zeta:[[3.142172466014E-4,2.7964219722923,-.002315096098],[9.04169207946E-5,1.0477061879627,-5.6920638196E-4]]},{mu:2.82483274392893E-7,al:[-.3735263437471362,1.76932271112347],a:[[.0044871037804314,0,0],[4.324367498E-7,1.819645606291,1.7822295777568]],l:[[8.576433172936E-4,4.3188693178264,.01303413830805],[4.549582875086E-4,
1.4936531751079,.01293892881962],[3.248939825174E-4,1.8196494533458,1.7822295777568],[-3.074250079334E-4,4.9377037005911,.01358483286724],[1.982386144784E-4,1.907986905476,.00305101212869],[1.834063551804E-4,2.1402853388529,.00145009789338],[-1.434383188452E-4,5.622214036663,.89111478887838],[-7.71939140944E-5,4.300272437235,2.6733443704266]],z:[[-.0093589104136341,4.0899396509039,-.01290686414666],[2.988994545555E-4,5.9097265185595,1.7693227079462],[2.13903639035E-4,2.1256289300016,1.2727418407E-4],
[1.980963564781E-4,2.743516829265,6.7797343009E-4],[1.210388158965E-4,5.5839943711203,3.20566149E-5],[8.37042048393E-5,1.6094538368039,-.90402165808846],[8.23525166369E-5,1.4461887708689,3.5515522949802]],zeta:[[.0040404917832303,1.0477063169425,-5.692064054E-4],[2.200421034564E-4,3.3368857864364,-1.2491307307E-4],[1.662544744719E-4,2.4134862374711,0],[5.90282470983E-5,5.9719930968366,-3.056160225E-5]]},{mu:2.82498184184723E-7,al:[.2874089391143348,.878207923589328],a:[[.0071566594572575,0,0],[1.393029911E-6,
1.1586745884981,2.6733443704266]],l:[[2.310797886226E-4,2.1402987195942,.00145009784384],[-1.828635964118E-4,4.3188672736968,.01303413828263],[1.512378778204E-4,4.9373102372298,.01358483481252],[-1.163720969778E-4,4.300265986149,2.6733443704266],[-9.55478069846E-5,1.4936612842567,.01293892879857],[8.15246854464E-5,5.6222137132535,.89111478887838],[-8.01219679602E-5,1.2995922951532,1.0034433456729],[-6.07017260182E-5,.64978769669238,.50172167043264]],z:[[.0014289811307319,2.1256295942739,1.2727413029E-4],
[7.71093122676E-4,5.5836330003496,3.20643411E-5],[5.925911780766E-4,4.0899396636448,-.01290686414666],[2.045597496146E-4,5.2713683670372,-.12523544076106],[1.785118648258E-4,.28743156721063,.8782079244252],[1.131999784893E-4,1.4462127277818,3.5515522949802],[-6.5877816921E-5,2.2702423990985,-1.7951364394537],[4.97058888328E-5,5.9096792204858,1.7693227129285]],zeta:[[.0015932721570848,3.3368862796665,-1.2491307058E-4],[8.533093128905E-4,2.4133881688166,0],[3.513347911037E-4,5.9720789850127,-3.056101771E-5],
[-1.441929255483E-4,1.0477061764435,-5.6920632124E-4]]},{mu:2.82492144889909E-7,al:[-.3620341291375704,.376486233433828],a:[[.0125879701715314,0,0],[3.595204947E-6,.64965776007116,.50172168165034],[2.7580210652E-6,1.808423578151,3.1750660413359]],l:[[5.586040123824E-4,2.1404207189815,.00145009793231],[-3.805813868176E-4,2.7358844897853,2.972965062E-5],[2.205152863262E-4,.649796525964,.5017216724358],[1.877895151158E-4,1.8084787604005,3.1750660413359],[7.66916975242E-5,6.2720114319755,1.3928364636651],
[7.47056855106E-5,1.2995916202344,1.0034433456729]],z:[[.0073755808467977,5.5836071576084,3.206509914E-5],[2.065924169942E-4,5.9209831565786,.37648624194703],[1.589869764021E-4,.28744006242623,.8782079244252],[-1.561131605348E-4,2.1257397865089,1.2727441285E-4],[1.486043380971E-4,1.4462134301023,3.5515522949802],[6.35073108731E-5,5.9096803285954,1.7693227129285],[5.99351698525E-5,4.1125517584798,-2.7985797954589],[5.40660842731E-5,5.5390350845569,.00286834082283],[-4.89596900866E-5,4.6218149483338,
-.62695712529519]],zeta:[[.0038422977898495,2.4133922085557,0],[.0022453891791894,5.9721736773277,-3.056125525E-5],[-2.604479450559E-4,3.3368746306409,-1.2491309972E-4],[3.3211214323E-5,5.5604137742337,.00290037688507]]}],fd=function(a,b,c,d){this.io=a;this.europa=b;this.ganymede=c;this.callisto=d};e.JupiterMoonsInfo=fd;e.JupiterMoons=function(a){a=new O(a);return new fd(kb(a,tb[0]),kb(a,tb[1]),kb(a,tb[2]),kb(a,tb[3]))};e.HelioVector=Z;e.HelioDistance=oa;e.CorrectLightTravel=lc;var nc=function(a,
b,c,d){this.observerBody=a;this.targetBody=b;this.aberration=c;this.observerPos=d};nc.prototype.Position=function(a){this.aberration&&(this.observerPos=Z(this.observerBody,a));var b=Z(this.targetBody,a);return new E(b.x-this.observerPos.x,b.y-this.observerPos.y,b.z-this.observerPos.z,a)};e.BackdatePosition=mc;e.GeoVector=W;e.BaryState=function(a,b){b=v(b);if(a===m.SSB)return new I(0,0,0,0,0,0,b);if(a===m.Pluto)return Hb(b,!1);var c=new Da(b.tt);switch(a){case m.Sun:return pa(c.Sun,b);case m.Jupiter:return pa(c.Jupiter,
b);case m.Saturn:return pa(c.Saturn,b);case m.Uranus:return pa(c.Uranus,b);case m.Neptune:return pa(c.Neptune,b);case m.Moon:case m.EMB:var d=Sa(M[m.Earth],b.tt);a=a===m.Moon?Ra(b):Bb(b);return new I(a.x+c.Sun.r.x+d.r.x,a.y+c.Sun.r.y+d.r.y,a.z+c.Sun.r.z+d.r.z,a.vx+c.Sun.v.x+d.v.x,a.vy+c.Sun.v.y+d.v.y,a.vz+c.Sun.v.z+d.v.z,b)}if(a in M)return a=Sa(M[a],b.tt),new I(c.Sun.r.x+a.r.x,c.Sun.r.y+a.r.y,c.Sun.r.z+a.r.z,c.Sun.v.x+a.v.x,c.Sun.v.y+a.v.y,c.Sun.v.z+a.v.z,b);throw'BaryState: Unsupported body "'+
a+'"';};e.HelioState=mb;e.Search=K;e.SearchSunLongitude=oc;e.PairLongitude=Jb;e.AngleFromSun=Ha;e.EclipticLongitude=qa;var pc=function(a,b,c,d,f,g,h,l){this.time=a;this.mag=b;this.phase_angle=c;this.helio_dist=d;this.geo_dist=f;this.gc=g;this.hc=h;this.ring_tilt=l;this.phase_fraction=(1+Math.cos(e.DEG2RAD*c))/2};e.IlluminationInfo=pc;e.Illumination=nb;e.SearchRelativeLongitude=Ia;e.MoonPhase=Kb;e.SearchMoonPhase=Wa;var rc=function(a,b){this.quarter=a;this.time=b};e.MoonQuarter=rc;e.SearchMoonQuarter=
qc;e.NextMoonQuarter=function(a){a=new Date(a.time.date.getTime()+5184E5);return qc(a)};var tc=function(a,b,c){this.pressure=a;this.temperature=b;this.density=c};e.AtmosphereInfo=tc;e.Atmosphere=sc;e.SearchRiseSet=function(a,b,c,d,f,g){g=void 0===g?0:g;if(!Number.isFinite(g)||0>g)throw"Invalid value for metersAboveGround: "+g;a:switch(a){case m.Sun:var h=Nc;break a;case m.Moon:h=Dd;break a;default:h=0}var l=sc(b.height-g),k=b.latitude*e.DEG2RAD,n=Math.sin(k);k=Math.cos(k);var p=1/Math.hypot(k,.996647180302104*
n),q=(b.height-g)/1E3,t=.175*Math.pow(1-.0065/283.15*(b.height-2/3*g),3.256);return uc(a,b,c,d,f,h,e.RAD2DEG*-(Math.sqrt(2*(1-t)*g/(1E3*Math.hypot((6378.1366*p+q)*k,(6335.438815127603*p+q)*n)))/(1-t))-Ed*l.density)};e.SearchAltitude=function(a,b,c,d,f,g){if(!Number.isFinite(g)||-90>g||90<g)throw"Invalid altitude angle: "+g;return uc(a,b,c,d,f,0,g)};var ud=function(a,b,c,d){this.tx=a;this.ty=b;this.ax=c;this.ay=d},gd=function(a,b){this.time=a;this.hor=b};e.HourAngleEvent=gd;e.SearchHourAngle=function(a,
b,c,d,f){f=void 0===f?1:f;za(b);d=v(d);var g=0;if(a===m.Earth)throw"Cannot search for hour angle of the Earth.";w(c);if(0>c||24<=c)throw"Invalid hour angle "+c;w(f);if(0===f)throw"Direction must be positive or negative.";for(;;){++g;var h=ca(d),l=Pa(a,d,b,!0,!0);h=(c+l.ra-b.longitude/15-h)%24;1===g?0<f?0>h&&(h+=24):0<h&&(h-=24):-12>h?h+=24:12<h&&(h-=24);if(.1>3600*Math.abs(h))return a=hb(d,b,l.ra,l.dec,"normal"),new gd(d,a);d=d.AddDays(h/24*.9972695717592592)}};e.HourAngle=function(a,b,c){var d=v(b);
b=bc(d);a=Pa(a,d,c,!0,!0);c=(c.longitude/15+b-a.ra)%24;0>c&&(c+=24);return c};var hd=function(a,b,c,d){this.mar_equinox=a;this.jun_solstice=b;this.sep_equinox=c;this.dec_solstice=d};e.SeasonInfo=hd;e.Seasons=function(a){function b(h,l,k){l=new Date(Date.UTC(a,l-1,k));h=oc(h,l,20);if(!h)throw"Cannot find season change near "+l.toISOString();return h}a instanceof Date&&Number.isFinite(a.getTime())&&(a=a.getUTCFullYear());if(!Number.isSafeInteger(a))throw"Cannot calculate seasons because year argument "+
a+" is neither a Date nor a safe integer.";var c=b(0,3,10),d=b(90,6,10),f=b(180,9,10),g=b(270,12,10);return new hd(c,d,f,g)};var wc=function(a,b,c,d){this.time=a;this.visibility=b;this.elongation=c;this.ecliptic_separation=d};e.ElongationEvent=wc;e.Elongation=vc;e.SearchMaxElongation=function(a,b){function c(n){var p=n.AddDays(-.005);n=n.AddDays(.005);p=Ha(a,p);n=Ha(a,n);return(p-n)/.01}b=v(b);var d={Mercury:{s1:50,s2:85},Venus:{s1:40,s2:50}}[a];if(!d)throw"SearchMaxElongation works for Mercury and Venus only.";
for(var f=0;2>=++f;){var g=qa(a,b),h=qa(m.Earth,b),l=Fa(g-h),k=g=h=void 0;l>=-d.s1&&l<+d.s1?(k=0,h=+d.s1,g=+d.s2):l>=+d.s2||l<-d.s2?(k=0,h=-d.s2,g=-d.s1):0<=l?(k=-Va(a)/4,h=+d.s1,g=+d.s2):(k=-Va(a)/4,h=-d.s2,g=-d.s1);l=b.AddDays(k);h=Ia(a,h,l);g=Ia(a,g,h);l=c(h);if(0<=l)throw"SearchMaxElongation: internal error: m1 = "+l;k=c(g);if(0>=k)throw"SearchMaxElongation: internal error: m2 = "+k;l=K(c,h,g,{init_f1:l,init_f2:k,dt_tolerance_seconds:10});if(!l)throw"SearchMaxElongation: failed search iter "+
f+" (t1="+h.toString()+", t2="+g.toString()+")";if(l.tt>=b.tt)return vc(a,l);b=g.AddDays(1)}throw"SearchMaxElongation: failed to find event after 2 tries.";};e.SearchPeakMagnitude=function(a,b){function c(k){var n=k.AddDays(-.005);k=k.AddDays(.005);n=nb(a,n).mag;return(nb(a,k).mag-n)/.01}if(a!==m.Venus)throw"SearchPeakMagnitude currently works for Venus only.";b=v(b);for(var d=0;2>=++d;){var f=qa(a,b),g=qa(m.Earth,b),h=Fa(f-g),l=f=g=void 0;-10<=h&&10>h?(l=0,g=10,f=30):30<=h||-30>h?(l=0,g=-30,f=-10):
0<=h?(l=-Va(a)/4,g=10,f=30):(l=-Va(a)/4,g=-30,f=-10);h=b.AddDays(l);g=Ia(a,g,h);f=Ia(a,f,g);h=c(g);if(0<=h)throw"SearchPeakMagnitude: internal error: m1 = "+h;l=c(f);if(0>=l)throw"SearchPeakMagnitude: internal error: m2 = "+l;h=K(c,g,f,{init_f1:h,init_f2:l,dt_tolerance_seconds:10});if(!h)throw"SearchPeakMagnitude: failed search iter "+d+" (t1="+g.toString()+", t2="+f.toString()+")";if(h.tt>=b.tt)return nb(a,h);b=f.AddDays(1)}throw"SearchPeakMagnitude: failed to find event after 2 tries.";};var Ja;
(function(a){a[a.Pericenter=0]="Pericenter";a[a.Apocenter=1]="Apocenter"})(Ja=e.ApsisKind||(e.ApsisKind={}));var Xa=function(a,b,c){this.time=a;this.kind=b;this.dist_au=c;this.dist_km=c*e.KM_PER_AU};e.Apsis=Xa;e.SearchLunarApsis=xc;e.NextLunarApsis=function(a){var b=xc(a.time.AddDays(11));if(1!==b.kind+a.kind)throw"NextLunarApsis INTERNAL ERROR: did not find alternating apogee/perigee: prev="+a.kind+" @ "+a.time.toString()+", next="+b.kind+" @ "+b.time.toString();return b};e.SearchPlanetApsis=zc;
e.NextPlanetApsis=function(a,b){if(b.kind!==Ja.Pericenter&&b.kind!==Ja.Apocenter)throw"Invalid apsis kind: "+b.kind;var c=b.time.AddDays(.25*aa[a].OrbitalPeriod);a=zc(a,c);if(1!==a.kind+b.kind)throw"Internal error: previous apsis was "+b.kind+", but found "+a.kind+" for next apsis.";return a};e.InverseRotation=Ka;e.CombineRotation=ja;e.IdentityMatrix=function(){return new J([[1,0,0],[0,1,0],[0,0,1]])};e.Pivot=function(a,b,c){if(0!==b&&1!==b&&2!==b)throw"Invalid axis "+b+". Must be [0, 1, 2].";var d=
w(c)*e.DEG2RAD;c=Math.cos(d);d=Math.sin(d);var f=(b+1)%3,g=(b+2)%3,h=[[0,0,0],[0,0,0],[0,0,0]];h[f][f]=c*a.rot[f][f]-d*a.rot[f][g];h[f][g]=d*a.rot[f][f]+c*a.rot[f][g];h[f][b]=a.rot[f][b];h[g][f]=c*a.rot[g][f]-d*a.rot[g][g];h[g][g]=d*a.rot[g][f]+c*a.rot[g][g];h[g][b]=a.rot[g][b];h[b][f]=c*a.rot[b][f]-d*a.rot[b][g];h[b][g]=d*a.rot[b][f]+c*a.rot[b][g];h[b][b]=a.rot[b][b];return new J(h)};e.VectorFromSphere=lb;e.EquatorFromVector=Mb;e.SphereFromVector=Nb;e.HorizonFromVector=function(a,b){a=Nb(a);a.lon=
Ac(a.lon);a.lat+=Oa(b,a.lat);return a};e.VectorFromHorizon=function(a,b,c){b=v(b);var d=Ac(a.lon);c=a.lat+Bc(c,a.lat);a=new Ba(c,d,a.dist);return lb(a,b)};e.Refraction=Oa;e.InverseRefraction=Bc;e.RotateVector=Ya;e.RotateState=Ea;e.Rotation_EQJ_ECL=Cc;e.Rotation_ECL_EQJ=function(){return new J([[1,0,0],[0,.9174821430670688,.3977769691083922],[0,-.3977769691083922,.9174821430670688]])};e.Rotation_EQJ_EQD=ob;e.Rotation_EQJ_ECT=function(a){var b=v(a);a=ob(b);b=Jc(b);return ja(a,b)};e.Rotation_ECT_EQJ=
function(a){var b=v(a);a=Ic(b);b=pb(b);return ja(a,b)};e.Rotation_EQD_EQJ=pb;e.Rotation_EQD_HOR=Ob;e.Rotation_HOR_EQD=Dc;e.Rotation_HOR_EQJ=Ec;e.Rotation_EQJ_HOR=function(a,b){a=Ec(a,b);return Ka(a)};e.Rotation_EQD_ECL=Fc;e.Rotation_ECL_EQD=Gc;e.Rotation_ECL_HOR=Hc;e.Rotation_HOR_ECL=function(a,b){a=Hc(a,b);return Ka(a)};e.Rotation_EQJ_GAL=function(){return new J([[-.0548624779711344,.4941095946388765,-.8676668813529025],[-.8734572784246782,-.4447938112296831,-.1980677870294097],[-.483800052994852,
.7470034631630423,.4559861124470794]])};e.Rotation_GAL_EQJ=function(){return new J([[-.0548624779711344,-.8734572784246782,-.483800052994852],[.4941095946388765,-.4447938112296831,.7470034631630423],[-.8676668813529025,-.1980677870294097,.4559861124470794]])};e.Rotation_ECT_EQD=Ic;e.Rotation_EQD_ECT=Jc;var Fd=[["And","Andromeda"],["Ant","Antila"],["Aps","Apus"],["Aql","Aquila"],["Aqr","Aquarius"],["Ara","Ara"],["Ari","Aries"],["Aur","Auriga"],["Boo","Bootes"],["Cae","Caelum"],["Cam","Camelopardis"],
["Cap","Capricornus"],["Car","Carina"],["Cas","Cassiopeia"],["Cen","Centaurus"],["Cep","Cepheus"],["Cet","Cetus"],["Cha","Chamaeleon"],["Cir","Circinus"],["CMa","Canis Major"],["CMi","Canis Minor"],["Cnc","Cancer"],["Col","Columba"],["Com","Coma Berenices"],["CrA","Corona Australis"],["CrB","Corona Borealis"],["Crt","Crater"],["Cru","Crux"],["Crv","Corvus"],["CVn","Canes Venatici"],["Cyg","Cygnus"],["Del","Delphinus"],["Dor","Dorado"],["Dra","Draco"],["Equ","Equuleus"],["Eri","Eridanus"],["For","Fornax"],
["Gem","Gemini"],["Gru","Grus"],["Her","Hercules"],["Hor","Horologium"],["Hya","Hydra"],["Hyi","Hydrus"],["Ind","Indus"],["Lac","Lacerta"],["Leo","Leo"],["Lep","Lepus"],["Lib","Libra"],["LMi","Leo Minor"],["Lup","Lupus"],["Lyn","Lynx"],["Lyr","Lyra"],["Men","Mensa"],["Mic","Microscopium"],["Mon","Monoceros"],["Mus","Musca"],["Nor","Norma"],["Oct","Octans"],["Oph","Ophiuchus"],["Ori","Orion"],["Pav","Pavo"],["Peg","Pegasus"],["Per","Perseus"],["Phe","Phoenix"],["Pic","Pictor"],["PsA","Pisces Austrinus"],
["Psc","Pisces"],["Pup","Puppis"],["Pyx","Pyxis"],["Ret","Reticulum"],["Scl","Sculptor"],["Sco","Scorpius"],["Sct","Scutum"],["Ser","Serpens"],["Sex","Sextans"],["Sge","Sagitta"],["Sgr","Sagittarius"],["Tau","Taurus"],["Tel","Telescopium"],["TrA","Triangulum Australe"],["Tri","Triangulum"],["Tuc","Tucana"],["UMa","Ursa Major"],["UMi","Ursa Minor"],["Vel","Vela"],["Vir","Virgo"],["Vol","Volans"],["Vul","Vulpecula"]],Gd=[[83,0,8640,2112],[83,2880,5220,2076],[83,7560,8280,2068],[83,6480,7560,2064],[15,
0,2880,2040],[10,3300,3840,1968],[15,0,1800,1920],[10,3840,5220,1920],[83,6300,6480,1920],[33,7260,7560,1920],[15,0,1263,1848],[10,4140,4890,1848],[83,5952,6300,1800],[15,7260,7440,1800],[10,2868,3300,1764],[33,3300,4080,1764],[83,4680,5952,1680],[13,1116,1230,1632],[33,7350,7440,1608],[33,4080,4320,1596],[15,0,120,1584],[83,5040,5640,1584],[15,8490,8640,1584],[33,4320,4860,1536],[33,4860,5190,1512],[15,8340,8490,1512],[10,2196,2520,1488],[33,7200,7350,1476],[15,7393.2,7416,1462],[10,2520,2868,1440],
[82,2868,3030,1440],[33,7116,7200,1428],[15,7200,7393.2,1428],[15,8232,8340,1418],[13,0,876,1404],[33,6990,7116,1392],[13,612,687,1380],[13,876,1116,1368],[10,1116,1140,1368],[15,8034,8232,1350],[10,1800,2196,1344],[82,5052,5190,1332],[33,5190,6990,1332],[10,1140,1200,1320],[15,7968,8034,1320],[15,7416,7908,1316],[13,0,612,1296],[50,2196,2340,1296],[82,4350,4860,1272],[33,5490,5670,1272],[15,7908,7968,1266],[10,1200,1800,1260],[13,8232,8400,1260],[33,5670,6120,1236],[62,735,906,1212],[33,6120,6564,
1212],[13,0,492,1200],[62,492,600,1200],[50,2340,2448,1200],[13,8400,8640,1200],[82,4860,5052,1164],[13,0,402,1152],[13,8490,8640,1152],[39,6543,6564,1140],[33,6564,6870,1140],[30,6870,6900,1140],[62,600,735,1128],[82,3030,3300,1128],[13,60,312,1104],[82,4320,4350,1080],[50,2448,2652,1068],[30,7887,7908,1056],[30,7875,7887,1050],[30,6900,6984,1044],[82,3300,3660,1008],[82,3660,3882,960],[8,5556,5670,960],[39,5670,5880,960],[50,3330,3450,954],[0,0,906,882],[62,906,924,882],[51,6969,6984,876],[62,1620,
1689,864],[30,7824,7875,864],[44,7875,7920,864],[7,2352,2652,852],[50,2652,2790,852],[0,0,720,840],[44,7920,8214,840],[44,8214,8232,828],[0,8232,8460,828],[62,924,978,816],[82,3882,3960,816],[29,4320,4440,816],[50,2790,3330,804],[48,3330,3558,804],[0,258,507,792],[8,5466,5556,792],[0,8460,8550,770],[29,4440,4770,768],[0,8550,8640,752],[29,5025,5052,738],[80,870,978,736],[62,978,1620,736],[7,1620,1710,720],[51,6543,6969,720],[82,3960,4320,696],[30,7080,7530,696],[7,1710,2118,684],[48,3558,3780,684],
[29,4770,5025,684],[0,0,24,672],[80,507,600,672],[7,2118,2352,672],[37,2838,2880,672],[30,7530,7824,672],[30,6933,7080,660],[80,690,870,654],[25,5820,5880,648],[8,5430,5466,624],[25,5466,5820,624],[51,6612,6792,624],[48,3870,3960,612],[51,6792,6933,612],[80,600,690,600],[66,258,306,570],[48,3780,3870,564],[87,7650,7710,564],[77,2052,2118,548],[0,24,51,528],[73,5730,5772,528],[37,2118,2238,516],[87,7140,7290,510],[87,6792,6930,506],[0,51,306,504],[87,7290,7404,492],[37,2811,2838,480],[87,7404,7650,
468],[87,6930,7140,460],[6,1182,1212,456],[75,6792,6840,444],[59,2052,2076,432],[37,2238,2271,420],[75,6840,7140,388],[77,1788,1920,384],[39,5730,5790,384],[75,7140,7290,378],[77,1662,1788,372],[77,1920,2016,372],[23,4620,4860,360],[39,6210,6570,344],[23,4272,4620,336],[37,2700,2811,324],[39,6030,6210,308],[61,0,51,300],[77,2016,2076,300],[37,2520,2700,300],[61,7602,7680,300],[37,2271,2496,288],[39,6570,6792,288],[31,7515,7578,284],[61,7578,7602,284],[45,4146,4272,264],[59,2247,2271,240],[37,2496,
2520,240],[21,2811,2853,240],[61,8580,8640,240],[6,600,1182,238],[31,7251,7308,204],[8,4860,5430,192],[61,8190,8580,180],[21,2853,3330,168],[45,3330,3870,168],[58,6570,6718.4,150],[3,6718.4,6792,150],[31,7500,7515,144],[20,2520,2526,132],[73,6570,6633,108],[39,5790,6030,96],[58,6570,6633,72],[61,7728,7800,66],[66,0,720,48],[73,6690,6792,48],[31,7308,7500,48],[34,7500,7680,48],[61,7680,7728,48],[61,7920,8190,48],[61,7800,7920,42],[20,2526,2592,36],[77,1290,1662,0],[59,1662,1680,0],[20,2592,2910,0],
[85,5280,5430,0],[58,6420,6570,0],[16,954,1182,-42],[77,1182,1290,-42],[73,5430,5856,-78],[59,1680,1830,-96],[59,2100,2247,-96],[73,6420,6468,-96],[73,6570,6690,-96],[3,6690,6792,-96],[66,8190,8580,-96],[45,3870,4146,-144],[85,4146,4260,-144],[66,0,120,-168],[66,8580,8640,-168],[85,5130,5280,-192],[58,5730,5856,-192],[3,7200,7392,-216],[4,7680,7872,-216],[58,6180,6468,-240],[54,2100,2910,-264],[35,1770,1830,-264],[59,1830,2100,-264],[41,2910,3012,-264],[74,3450,3870,-264],[85,4260,4620,-264],[58,
6330,6360,-280],[3,6792,7200,-288.8],[35,1740,1770,-348],[4,7392,7680,-360],[73,6180,6570,-384],[72,6570,6792,-384],[41,3012,3090,-408],[58,5856,5895,-438],[41,3090,3270,-456],[26,3870,3900,-456],[71,5856,5895,-462],[47,5640,5730,-480],[28,4530,4620,-528],[85,4620,5130,-528],[41,3270,3510,-576],[16,600,954,-585.2],[35,954,1350,-585.2],[26,3900,4260,-588],[28,4260,4530,-588],[47,5130,5370,-588],[58,5856,6030,-590],[16,0,600,-612],[11,7680,7872,-612],[4,7872,8580,-612],[16,8580,8640,-612],[41,3510,
3690,-636],[35,1692,1740,-654],[46,1740,2202,-654],[11,7200,7680,-672],[41,3690,3810,-700],[41,4530,5370,-708],[47,5370,5640,-708],[71,5640,5760,-708],[35,1650,1692,-720],[58,6030,6336,-720],[76,6336,6420,-720],[41,3810,3900,-748],[19,2202,2652,-792],[41,4410,4530,-792],[41,3900,4410,-840],[36,1260,1350,-864],[68,3012,3372,-882],[35,1536,1650,-888],[76,6420,6900,-888],[65,7680,8280,-888],[70,8280,8400,-888],[36,1080,1260,-950],[1,3372,3960,-954],[70,0,600,-960],[36,600,1080,-960],[35,1392,1536,-960],
[70,8400,8640,-960],[14,5100,5370,-1008],[49,5640,5760,-1008],[71,5760,5911.5,-1008],[9,1740,1800,-1032],[22,1800,2370,-1032],[67,2880,3012,-1032],[35,1230,1392,-1056],[71,5911.5,6420,-1092],[24,6420,6900,-1092],[76,6900,7320,-1092],[53,7320,7680,-1092],[35,1080,1230,-1104],[9,1620,1740,-1116],[49,5520,5640,-1152],[63,0,840,-1156],[35,960,1080,-1176],[40,1470,1536,-1176],[9,1536,1620,-1176],[38,7680,7920,-1200],[67,2160,2880,-1218],[84,2880,2940,-1218],[35,870,960,-1224],[40,1380,1470,-1224],[63,
0,660,-1236],[12,2160,2220,-1260],[84,2940,3042,-1272],[40,1260,1380,-1276],[32,1380,1440,-1276],[63,0,570,-1284],[35,780,870,-1296],[64,1620,1800,-1296],[49,5418,5520,-1296],[84,3042,3180,-1308],[12,2220,2340,-1320],[14,4260,4620,-1320],[49,5100,5418,-1320],[56,5418,5520,-1320],[32,1440,1560,-1356],[84,3180,3960,-1356],[14,3960,4050,-1356],[5,6300,6480,-1368],[78,6480,7320,-1368],[38,7920,8400,-1368],[40,1152,1260,-1380],[64,1800,1980,-1380],[12,2340,2460,-1392],[63,0,480,-1404],[35,480,780,-1404],
[63,8400,8640,-1404],[32,1560,1650,-1416],[56,5520,5911.5,-1440],[43,7320,7680,-1440],[64,1980,2160,-1464],[18,5460,5520,-1464],[5,5911.5,5970,-1464],[18,5370,5460,-1526],[5,5970,6030,-1526],[64,2160,2460,-1536],[12,2460,3252,-1536],[14,4050,4260,-1536],[27,4260,4620,-1536],[14,4620,5232,-1536],[18,4860,4920,-1560],[5,6030,6060,-1560],[40,780,1152,-1620],[69,1152,1650,-1620],[18,5310,5370,-1620],[5,6060,6300,-1620],[60,6300,6480,-1620],[81,7920,8400,-1620],[32,1650,2370,-1680],[18,4920,5310,-1680],
[79,5310,6120,-1680],[81,0,480,-1800],[42,1260,1650,-1800],[86,2370,3252,-1800],[12,3252,4050,-1800],[55,4050,4920,-1800],[60,6480,7680,-1800],[43,7680,8400,-1800],[81,8400,8640,-1800],[81,270,480,-1824],[42,0,1260,-1980],[17,2760,4920,-1980],[2,4920,6480,-1980],[52,1260,2760,-2040],[57,0,8640,-2160]],Tb,id,jd=function(a,b,c,d){this.symbol=a;this.name=b;this.ra1875=c;this.dec1875=d};e.ConstellationInfo=jd;e.Constellation=function(a,b){w(a);w(b);if(-90>b||90<b)throw"Invalid declination angle. Must be -90..+90.";
a%=24;0>a&&(a+=24);Tb||(Tb=ob(new O(-45655.74141261017)),id=new O(0));a=new Ba(b,15*a,1);a=lb(a,id);a=Ya(Tb,a);a=Mb(a);b=10/240;for(var c=b/15,d=$jscomp.makeIterator(Gd),f=d.next();!f.done;f=d.next()){f=f.value;var g=f[1]*c,h=f[2]*c;if(f[3]*b<=a.dec&&g<=a.ra&&a.ra<h)return b=Fd[f[0]],new jd(b[0],b[1],a.ra,a.dec)}throw"Unable to find constellation for given coordinates.";};var S;(function(a){a.Penumbral="penumbral";a.Partial="partial";a.Annular="annular";a.Total="total"})(S=e.EclipseKind||(e.EclipseKind=
{}));var Pc=function(a,b,c,d,f,g){this.kind=a;this.obscuration=b;this.peak=c;this.sd_penum=d;this.sd_partial=f;this.sd_total=g};e.LunarEclipseInfo=Pc;var xd=function(a,b,c,d,f,g,h){this.time=a;this.u=b;this.r=c;this.k=d;this.p=f;this.target=g;this.dir=h};e.SearchLunarEclipse=Oc;var Rc=function(a,b,c,d,f,g){this.kind=a;this.obscuration=b;this.peak=c;this.distance=d;this.latitude=f;this.longitude=g};e.GlobalSolarEclipseInfo=Rc;e.NextLunarEclipse=function(a){a=v(a);a=a.AddDays(10);return Oc(a)};e.SearchGlobalSolarEclipse=
Qc;e.NextGlobalSolarEclipse=function(a){a=v(a);a=a.AddDays(10);return Qc(a)};var Vc=function(a,b){this.time=a;this.altitude=b};e.EclipseEvent=Vc;var Xc=function(a,b,c,d,f,g,h){this.kind=a;this.obscuration=b;this.partial_begin=c;this.total_begin=d;this.peak=f;this.total_end=g;this.partial_end=h};e.LocalSolarEclipseInfo=Xc;e.SearchLocalSolarEclipse=Wc;e.NextLocalSolarEclipse=function(a,b){a=v(a);a=a.AddDays(10);return Wc(a,b)};var $c=function(a,b,c,d){this.start=a;this.peak=b;this.finish=c;this.separation=
d};e.TransitInfo=$c;e.SearchTransit=Zc;e.NextTransit=function(a,b){b=v(b);b=b.AddDays(100);return Zc(a,b)};var ra;(function(a){a[a.Invalid=0]="Invalid";a[a.Ascending=1]="Ascending";a[a.Descending=-1]="Descending"})(ra=e.NodeEventKind||(e.NodeEventKind={}));var bd=function(a,b){this.kind=a;this.time=b};e.NodeEventInfo=bd;e.SearchMoonNode=ad;e.NextMoonNode=function(a){var b=a.time.AddDays(10);b=ad(b);switch(a.kind){case ra.Ascending:if(b.kind!==ra.Descending)throw"Internal error: previous node was ascending, but this node was: "+
b.kind;break;case ra.Descending:if(b.kind!==ra.Ascending)throw"Internal error: previous node was descending, but this node was: "+b.kind;break;default:throw"Previous node has an invalid node kind: "+a.kind;}return b};var Ub=function(a,b,c,d){this.ra=a;this.dec=b;this.spin=c;this.north=d};e.AxisInfo=Ub;e.RotationAxis=function(a,b){b=v(b);var c=b.tt,d=c/36525;switch(a){case m.Sun:a=286.13;var f=63.87;c=84.176+14.1844*c;break;case m.Mercury:a=281.0103-.0328*d;f=61.4155-.0049*d;c=329.5988+6.1385108*c+
.01067257*Math.sin(e.DEG2RAD*(174.7910857+4.092335*c))-.00112309*Math.sin(e.DEG2RAD*(349.5821714+8.18467*c))-1.104E-4*Math.sin(e.DEG2RAD*(164.3732571+12.277005*c))-2.539E-5*Math.sin(e.DEG2RAD*(339.1643429+16.36934*c))-5.71E-6*Math.sin(e.DEG2RAD*(153.9554286+20.461675*c));break;case m.Venus:a=272.76;f=67.16;c=160.2-1.4813688*c;break;case m.Earth:return a=xa([0,0,1],b,F.Into2000),a=wa(a,b,F.Into2000),a=new E(a[0],a[1],a[2],b),c=Mb(a),new Ub(c.ra,c.dec,190.41375788700253+360.9856122880876*b.ut,a);case m.Moon:var g=
e.DEG2RAD*(125.045-.0529921*c),h=e.DEG2RAD*(250.089-.1059842*c),l=e.DEG2RAD*(260.008+13.0120009*c),k=e.DEG2RAD*(176.625+13.3407154*c),n=e.DEG2RAD*(357.529+.9856003*c),p=e.DEG2RAD*(311.589+26.4057084*c),q=e.DEG2RAD*(134.963+13.064993*c),t=e.DEG2RAD*(276.617+.3287146*c),y=e.DEG2RAD*(34.226+1.7484877*c),x=e.DEG2RAD*(15.134-.1589763*c),z=e.DEG2RAD*(119.743+.0036096*c),ab=e.DEG2RAD*(239.961+.1643573*c),va=e.DEG2RAD*(25.053+12.9590088*c);a=269.9949+.0031*d-3.8787*Math.sin(g)-.1204*Math.sin(h)+.07*Math.sin(l)-
.0172*Math.sin(k)+.0072*Math.sin(p)-.0052*Math.sin(x)+.0043*Math.sin(va);f=66.5392+.013*d+1.5419*Math.cos(g)+.0239*Math.cos(h)-.0278*Math.cos(l)+.0068*Math.cos(k)-.0029*Math.cos(p)+9E-4*Math.cos(q)+8E-4*Math.cos(x)-9E-4*Math.cos(va);c=38.3213+(13.17635815-1.4E-12*c)*c+3.561*Math.sin(g)+.1208*Math.sin(h)-.0642*Math.sin(l)+.0158*Math.sin(k)+.0252*Math.sin(n)-.0066*Math.sin(p)-.0047*Math.sin(q)-.0046*Math.sin(t)+.0028*Math.sin(y)+.0052*Math.sin(x)+.004*Math.sin(z)+.0019*Math.sin(ab)-.0044*Math.sin(va);
break;case m.Mars:a=317.269202-.10927547*d+6.8E-5*Math.sin(e.DEG2RAD*(198.991226+19139.4819985*d))+2.38E-4*Math.sin(e.DEG2RAD*(226.292679+38280.8511281*d))+5.2E-5*Math.sin(e.DEG2RAD*(249.663391+57420.7251593*d))+9E-6*Math.sin(e.DEG2RAD*(266.18351+76560.636795*d))+.419057*Math.sin(e.DEG2RAD*(79.398797+.5042615*d));f=54.432516-.05827105*d+5.1E-5*Math.cos(e.DEG2RAD*(122.433576+19139.9407476*d))+1.41E-4*Math.cos(e.DEG2RAD*(43.058401+38280.8753272*d))+3.1E-5*Math.cos(e.DEG2RAD*(57.663379+57420.7517205*
d))+5E-6*Math.cos(e.DEG2RAD*(79.476401+76560.6495004*d))+1.591274*Math.cos(e.DEG2RAD*(166.325722+.5042615*d));c=176.049863+350.891982443297*c+1.45E-4*Math.sin(e.DEG2RAD*(129.071773+19140.0328244*d))+1.57E-4*Math.sin(e.DEG2RAD*(36.352167+38281.0473591*d))+4E-5*Math.sin(e.DEG2RAD*(56.668646+57420.929536*d))+1E-6*Math.sin(e.DEG2RAD*(67.364003+76560.2552215*d))+1E-6*Math.sin(e.DEG2RAD*(104.79268+95700.4387578*d))+.584542*Math.sin(e.DEG2RAD*(95.391654+.5042615*d));break;case m.Jupiter:f=e.DEG2RAD*(99.360714+
4850.4046*d);g=e.DEG2RAD*(175.895369+1191.9605*d);h=e.DEG2RAD*(300.323162+262.5475*d);l=e.DEG2RAD*(114.012305+6070.2476*d);k=e.DEG2RAD*(49.511251+64.3*d);a=268.056595-.006499*d+1.17E-4*Math.sin(f)+9.38E-4*Math.sin(g)+.001432*Math.sin(h)+3E-5*Math.sin(l)+.00215*Math.sin(k);f=64.495303+.002413*d+5E-5*Math.cos(f)+4.04E-4*Math.cos(g)+6.17E-4*Math.cos(h)-1.3E-5*Math.cos(l)+9.26E-4*Math.cos(k);c=284.95+870.536*c;break;case m.Saturn:a=40.589-.036*d;f=83.537-.004*d;c=38.9+810.7939024*c;break;case m.Uranus:a=
257.311;f=-15.175;c=203.81-501.1600928*c;break;case m.Neptune:d=e.DEG2RAD*(357.85+52.316*d);a=299.36+.7*Math.sin(d);f=43.46-.51*Math.cos(d);c=249.978+541.1397757*c-.48*Math.sin(d);break;case m.Pluto:a=132.993;f=-6.163;c=302.695+56.3625225*c;break;default:throw"Invalid body: "+a;}d=f*e.DEG2RAD;g=a*e.DEG2RAD;h=Math.cos(d);b=new E(h*Math.cos(g),h*Math.sin(g),Math.sin(d),b);return new Ub(a/15,f,c,b)};e.LagrangePoint=function(a,b,c,d){var f=v(b);b=C(c);var g=C(d);c===m.Earth&&d===m.Moon?(c=new I(0,0,0,
0,0,0,f),d=Ra(f)):(c=mb(c,f),d=mb(d,f));return cd(a,c,b,d,g)};e.LagrangePointFast=cd;var H=function(a,b,c){b=v(b);this.originBody=a;for(var d=$jscomp.makeIterator(c),f=d.next();!f.done;f=d.next())if(f.value.t.tt!==b.tt)throw"Inconsistent times in bodyStates";d=[];f=H.CalcSolarSystem(b);this.curr=new kd(b,f,d);a=this.InternalBodyState(a);c=$jscomp.makeIterator(c);for(f=c.next();!f.done;f=c.next()){var g=f.value;f=new B(g.x+a.r.x,g.y+a.r.y,g.z+a.r.z);g=new B(g.vx+a.v.x,g.vy+a.v.y,g.vz+a.v.z);var h=
B.zero();d.push(new Ua(b.tt,f,g,h))}this.CalcBodyAccelerations();this.prev=this.Duplicate()};H.prototype.Update=function(a){a=v(a);var b=a.tt-this.curr.time.tt;if(0===b)this.prev=this.Duplicate();else{this.Swap();this.curr.time=a;this.curr.gravitators=H.CalcSolarSystem(a);for(var c=0;c<this.curr.bodies.length;++c){var d=this.prev.bodies[c];this.curr.bodies[c].r=Ca(b,d.r,d.v,d.a)}this.CalcBodyAccelerations();for(c=0;c<this.curr.bodies.length;++c){d=this.prev.bodies[c];var f=this.curr.bodies[c],g=d.a.mean(f.a);
f.tt=a.tt;f.r=Ca(b,d.r,d.v,g);f.v=Eb(b,d.v,g)}this.CalcBodyAccelerations()}b=[];c=this.InternalBodyState(this.originBody);d=$jscomp.makeIterator(this.curr.bodies);for(f=d.next();!f.done;f=d.next())f=f.value,b.push(new I(f.r.x-c.r.x,f.r.y-c.r.y,f.r.z-c.r.z,f.v.x-c.v.x,f.v.y-c.v.y,f.v.z-c.v.z,a));return b};H.prototype.Swap=function(){var a=this.curr;this.curr=this.prev;this.prev=a};H.prototype.SolarSystemBodyState=function(a){a=this.InternalBodyState(a);var b=this.InternalBodyState(this.originBody);
return pa(a.sub(b),this.curr.time)};H.prototype.InternalBodyState=function(a){if(a===m.SSB)return new X(this.curr.time.tt,B.zero(),B.zero());var b=this.curr.gravitators[a];if(b)return b;throw"Invalid body: "+a;};H.CalcSolarSystem=function(a){var b={},c=new X(a.tt,B.zero(),B.zero());b[m.Mercury]=R(c,a.tt,m.Mercury,4.912547451450812E-11);b[m.Venus]=R(c,a.tt,m.Venus,7.243452486162703E-10);b[m.Earth]=R(c,a.tt,m.Earth,8.997011346712498E-10);b[m.Mars]=R(c,a.tt,m.Mars,9.549535105779258E-11);b[m.Jupiter]=
R(c,a.tt,m.Jupiter,2.825345909524226E-7);b[m.Saturn]=R(c,a.tt,m.Saturn,8.459715185680659E-8);b[m.Uranus]=R(c,a.tt,m.Uranus,1.292024916781969E-8);b[m.Neptune]=R(c,a.tt,m.Neptune,1.524358900784276E-8);for(var d in b)b[d].r.decr(c.r),b[d].v.decr(c.v);b[m.Sun]=new X(a.tt,c.r.neg(),c.v.neg());return b};H.prototype.CalcBodyAccelerations=function(){for(var a=$jscomp.makeIterator(this.curr.bodies),b=a.next();!b.done;b=a.next())b=b.value,b.a=B.zero(),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Sun].r,
2.959122082855911E-4),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Mercury].r,4.912547451450812E-11),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Venus].r,7.243452486162703E-10),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Earth].r,8.997011346712498E-10),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Mars].r,9.549535105779258E-11),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Jupiter].r,2.825345909524226E-7),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Saturn].r,8.459715185680659E-8),
H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Uranus].r,1.292024916781969E-8),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Neptune].r,1.524358900784276E-8)};H.AddAcceleration=function(a,b,c,d){var f=c.x-b.x,g=c.y-b.y;b=c.z-b.z;c=f*f+g*g+b*b;d/=c*Math.sqrt(c);a.x+=f*d;a.y+=g*d;a.z+=b*d};H.prototype.Duplicate=function(){var a={};for(b in this.curr.gravitators)a[b]=this.curr.gravitators[b].clone();var b=[];for(var c=$jscomp.makeIterator(this.curr.bodies),d=c.next();!d.done;d=c.next())b.push(d.value.clone());
return new kd(this.curr.time,a,b)};$jscomp.global.Object.defineProperties(H.prototype,{OriginBody:{configurable:!0,enumerable:!0,get:function(){return this.originBody}},Time:{configurable:!0,enumerable:!0,get:function(){return this.curr.time}}});e.GravitySimulator=H;var kd=function(a,b,c){this.time=a;this.gravitators=b;this.bodies=c}},{}]},{},[1])(1)});
node_modules/astronomy-engine/astronomy.d.ts
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node_modules/astronomy-engine/astronomy.js
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node_modules/astronomy-engine/astronomy.min.js
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/*
MIT
Astronomy library for JavaScript (browser and Node.js).
https://github.com/cosinekitty/astronomy
MIT License
Copyright (c) 2019-2023 Don Cross <cosinekitty@gmail.com>
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
*/
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exports.GeoEmbState=exports.GeoMoonState=exports.EclipticGeoMoon=exports.GeoMoon=exports.Ecliptic=exports.ObserverGravity=exports.VectorObserver=exports.ObserverState=exports.ObserverVector=exports.Equator=exports.SunPosition=exports.Observer=exports.Horizon=exports.EclipticCoordinates=exports.HorizontalCoordinates=exports.MakeRotation=exports.RotationMatrix=exports.EquatorialCoordinates=exports.Spherical=exports.StateVector=exports.Vector=exports.SiderealTime=exports.Libration=exports.LibrationInfo=
exports.CalcMoonCount=exports.e_tilt=exports.MakeTime=exports.AstroTime=exports.SetDeltaTFunction=exports.DeltaT_JplHorizons=exports.DeltaT_EspenakMeeus=exports.PlanetOrbitalPeriod=exports.DefineStar=exports.Body=exports.AngleBetween=exports.MassProduct=exports.CALLISTO_RADIUS_KM=exports.GANYMEDE_RADIUS_KM=exports.EUROPA_RADIUS_KM=exports.IO_RADIUS_KM=exports.JUPITER_MEAN_RADIUS_KM=exports.JUPITER_POLAR_RADIUS_KM=exports.JUPITER_EQUATORIAL_RADIUS_KM=exports.RAD2HOUR=exports.RAD2DEG=exports.HOUR2RAD=
exports.DEG2RAD=exports.AU_PER_LY=exports.KM_PER_AU=exports.C_AUDAY=void 0;
exports.VectorFromHorizon=exports.HorizonFromVector=exports.SphereFromVector=exports.EquatorFromVector=exports.VectorFromSphere=exports.Pivot=exports.IdentityMatrix=exports.CombineRotation=exports.InverseRotation=exports.NextPlanetApsis=exports.SearchPlanetApsis=exports.NextLunarApsis=exports.SearchLunarApsis=exports.Apsis=exports.ApsisKind=exports.SearchPeakMagnitude=exports.SearchMaxElongation=exports.Elongation=exports.ElongationEvent=exports.Seasons=exports.SeasonInfo=exports.HourAngle=exports.SearchHourAngle=
exports.HourAngleEvent=exports.SearchAltitude=exports.SearchRiseSet=exports.Atmosphere=exports.AtmosphereInfo=exports.NextMoonQuarter=exports.SearchMoonQuarter=exports.MoonQuarter=exports.SearchMoonPhase=exports.MoonPhase=exports.SearchRelativeLongitude=exports.Illumination=exports.IlluminationInfo=exports.EclipticLongitude=exports.AngleFromSun=exports.PairLongitude=exports.SearchSunLongitude=exports.Search=exports.HelioState=exports.BaryState=exports.GeoVector=exports.BackdatePosition=exports.CorrectLightTravel=
exports.HelioDistance=exports.HelioVector=exports.JupiterMoons=exports.JupiterMoonsInfo=void 0;
exports.GravitySimulator=exports.LagrangePointFast=exports.LagrangePoint=exports.RotationAxis=exports.AxisInfo=exports.NextMoonNode=exports.SearchMoonNode=exports.NodeEventInfo=exports.NodeEventKind=exports.NextTransit=exports.SearchTransit=exports.TransitInfo=exports.NextLocalSolarEclipse=exports.SearchLocalSolarEclipse=exports.LocalSolarEclipseInfo=exports.EclipseEvent=exports.NextGlobalSolarEclipse=exports.SearchGlobalSolarEclipse=exports.NextLunarEclipse=exports.GlobalSolarEclipseInfo=exports.SearchLunarEclipse=
exports.LunarEclipseInfo=exports.EclipseKind=exports.Constellation=exports.ConstellationInfo=exports.Rotation_EQD_ECT=exports.Rotation_ECT_EQD=exports.Rotation_GAL_EQJ=exports.Rotation_EQJ_GAL=exports.Rotation_HOR_ECL=exports.Rotation_ECL_HOR=exports.Rotation_ECL_EQD=exports.Rotation_EQD_ECL=exports.Rotation_EQJ_HOR=exports.Rotation_HOR_EQJ=exports.Rotation_HOR_EQD=exports.Rotation_EQD_HOR=exports.Rotation_EQD_EQJ=exports.Rotation_ECT_EQJ=exports.Rotation_EQJ_ECT=exports.Rotation_EQJ_EQD=exports.Rotation_ECL_EQJ=
exports.Rotation_EQJ_ECL=exports.RotateState=exports.RotateVector=exports.InverseRefraction=exports.Refraction=void 0;exports.C_AUDAY=173.1446326846693;exports.KM_PER_AU=1.4959787069098932E8;exports.AU_PER_LY=63241.07708807546;exports.DEG2RAD=.017453292519943295;exports.HOUR2RAD=.26179938779914946;exports.RAD2DEG=57.29577951308232;exports.RAD2HOUR=3.819718634205488;exports.JUPITER_EQUATORIAL_RADIUS_KM=71492;exports.JUPITER_POLAR_RADIUS_KM=66854;exports.JUPITER_MEAN_RADIUS_KM=69911;
exports.IO_RADIUS_KM=1821.6;exports.EUROPA_RADIUS_KM=1560.8;exports.GANYMEDE_RADIUS_KM=2631.2;exports.CALLISTO_RADIUS_KM=2410.3;
var DAYS_PER_TROPICAL_YEAR=365.24217,J2000=new Date("2000-01-01T12:00:00Z"),PI2=2*Math.PI,ARC=180/Math.PI*3600,ASEC2RAD=4.84813681109536E-6,ASEC180=648E3,ASEC360=2*ASEC180,ANGVEL=7.292115E-5,AU_PER_PARSEC=ASEC180/Math.PI,SUN_MAG_1AU=-.17-5*Math.log10(AU_PER_PARSEC),MEAN_SYNODIC_MONTH=29.530588,SECONDS_PER_DAY=86400,MILLIS_PER_DAY=1E3*SECONDS_PER_DAY,SOLAR_DAYS_PER_SIDEREAL_DAY=.9972695717592592,SUN_RADIUS_KM=695700,SUN_RADIUS_AU=SUN_RADIUS_KM/exports.KM_PER_AU,EARTH_FLATTENING=.996647180302104,EARTH_FLATTENING_SQUARED=
EARTH_FLATTENING*EARTH_FLATTENING,EARTH_EQUATORIAL_RADIUS_KM=6378.1366,EARTH_EQUATORIAL_RADIUS_AU=EARTH_EQUATORIAL_RADIUS_KM/exports.KM_PER_AU,EARTH_POLAR_RADIUS_KM=EARTH_EQUATORIAL_RADIUS_KM*EARTH_FLATTENING,EARTH_MEAN_RADIUS_KM=6371,EARTH_ATMOSPHERE_KM=88,EARTH_ECLIPSE_RADIUS_KM=EARTH_MEAN_RADIUS_KM+EARTH_ATMOSPHERE_KM,MOON_EQUATORIAL_RADIUS_KM=1738.1,MOON_EQUATORIAL_RADIUS_AU=MOON_EQUATORIAL_RADIUS_KM/exports.KM_PER_AU,MOON_MEAN_RADIUS_KM=1737.4,MOON_POLAR_RADIUS_KM=1736,MOON_POLAR_RADIUS_AU=MOON_POLAR_RADIUS_KM/
exports.KM_PER_AU,REFRACTION_NEAR_HORIZON=34/60,EARTH_MOON_MASS_RATIO=81.30056,SUN_GM=2.959122082855911E-4,MERCURY_GM=4.912547451450812E-11,VENUS_GM=7.243452486162703E-10,EARTH_GM=8.887692390113509E-10,MARS_GM=9.549535105779258E-11,JUPITER_GM=2.825345909524226E-7,SATURN_GM=8.459715185680659E-8,URANUS_GM=1.292024916781969E-8,NEPTUNE_GM=1.524358900784276E-8,PLUTO_GM=2.18869976542597E-12,MOON_GM=EARTH_GM/EARTH_MOON_MASS_RATIO;
function MassProduct(a){switch(a){case Body.Sun:return SUN_GM;case Body.Mercury:return MERCURY_GM;case Body.Venus:return VENUS_GM;case Body.Earth:return EARTH_GM;case Body.Moon:return MOON_GM;case Body.EMB:return EARTH_GM+MOON_GM;case Body.Mars:return MARS_GM;case Body.Jupiter:return JUPITER_GM;case Body.Saturn:return SATURN_GM;case Body.Uranus:return URANUS_GM;case Body.Neptune:return NEPTUNE_GM;case Body.Pluto:return PLUTO_GM;default:throw"Do not know mass product for body: "+a;}}
exports.MassProduct=MassProduct;function VerifyBoolean(a){if(!0!==a&&!1!==a)throw console.trace(),"Value is not boolean: "+a;return a}function VerifyNumber(a){if(!Number.isFinite(a))throw console.trace(),"Value is not a finite number: "+a;return a}function Frac(a){return a-Math.floor(a)}
function AngleBetween(a,b){var c=a.x*a.x+a.y*a.y+a.z*a.z;if(1E-8>Math.abs(c))throw"AngleBetween: first vector is too short.";var d=b.x*b.x+b.y*b.y+b.z*b.z;if(1E-8>Math.abs(d))throw"AngleBetween: second vector is too short.";a=(a.x*b.x+a.y*b.y+a.z*b.z)/Math.sqrt(c*d);return-1>=a?180:1<=a?0:exports.RAD2DEG*Math.acos(a)}exports.AngleBetween=AngleBetween;var Body;
(function(a){a.Sun="Sun";a.Moon="Moon";a.Mercury="Mercury";a.Venus="Venus";a.Earth="Earth";a.Mars="Mars";a.Jupiter="Jupiter";a.Saturn="Saturn";a.Uranus="Uranus";a.Neptune="Neptune";a.Pluto="Pluto";a.SSB="SSB";a.EMB="EMB";a.Star1="Star1";a.Star2="Star2";a.Star3="Star3";a.Star4="Star4";a.Star5="Star5";a.Star6="Star6";a.Star7="Star7";a.Star8="Star8"})(Body=exports.Body||(exports.Body={}));
var StarList=[Body.Star1,Body.Star2,Body.Star3,Body.Star4,Body.Star5,Body.Star6,Body.Star7,Body.Star8],StarTable=[{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0}];function GetStar(a){a=StarList.indexOf(a);return 0<=a?StarTable[a]:null}function UserDefinedStar(a){return(a=GetStar(a))&&0<a.dist?a:null}
function DefineStar(a,b,c,d){var e=GetStar(a);if(!e)throw"Invalid star body: "+a;VerifyNumber(b);VerifyNumber(c);VerifyNumber(d);if(0>b||24<=b)throw"Invalid right ascension for star: "+b;if(-90>c||90<c)throw"Invalid declination for star: "+c;if(1>d)throw"Invalid star distance: "+d;e.ra=b;e.dec=c;e.dist=d*exports.AU_PER_LY}exports.DefineStar=DefineStar;var PrecessDirection;(function(a){a[a.From2000=0]="From2000";a[a.Into2000=1]="Into2000"})(PrecessDirection||(PrecessDirection={}));
var Planet={Mercury:{OrbitalPeriod:87.969},Venus:{OrbitalPeriod:224.701},Earth:{OrbitalPeriod:365.256},Mars:{OrbitalPeriod:686.98},Jupiter:{OrbitalPeriod:4332.589},Saturn:{OrbitalPeriod:10759.22},Uranus:{OrbitalPeriod:30685.4},Neptune:{OrbitalPeriod:60189},Pluto:{OrbitalPeriod:90560}};function PlanetOrbitalPeriod(a){if(a in Planet)return Planet[a].OrbitalPeriod;throw"Unknown orbital period for: "+a;}exports.PlanetOrbitalPeriod=PlanetOrbitalPeriod;
var vsop={Mercury:[[[[4.40250710144,0,0],[.40989414977,1.48302034195,26087.9031415742],[.050462942,4.47785489551,52175.8062831484],[.00855346844,1.16520322459,78263.70942472259],[.00165590362,4.11969163423,104351.61256629678],[3.4561897E-4,.77930768443,130439.51570787099],[7.583476E-5,3.71348404924,156527.41884944518]],[[26087.90313685529,0,0],[.01131199811,6.21874197797,26087.9031415742],[.00292242298,3.04449355541,52175.8062831484],[7.5775081E-4,6.08568821653,78263.70942472259],[1.9676525E-4,2.80965111777,
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632.7837393132],[.00108974848,3.29313390175,110.2063212194],[6.9006962E-4,5.94099540992,419.4846438752],[6.1053367E-4,.94037691801,639.897286314],[4.8913294E-4,1.55733638681,202.2533951741],[3.4143772E-4,.19519102597,277.0349937414],[3.2401773E-4,5.47084567016,949.1756089698],[2.0936596E-4,.46349251129,735.8765135318],[9.796004E-5,5.20477537945,1265.5674786264],[1.1993338E-4,5.98050967385,846.0828347512],[2.08393E-4,1.52102476129,433.7117378768],[1.5298404E-4,3.0594381494,529.6909650946],[6.465823E-5,
.17732249942,1052.2683831884],[1.1380257E-4,1.7310542704,522.5774180938],[3.419618E-5,4.94550542171,1581.959348283]],[[.0618298134,.2584351148,213.299095438],[.00506577242,.71114625261,206.1855484372],[.00341394029,5.79635741658,426.598190876],[.00188491195,.47215589652,220.4126424388],[.00186261486,3.14159265359,0],[.00143891146,1.40744822888,7.1135470008]],[[.00436902572,4.78671677509,213.299095438]]]],Uranus:[[[[5.48129294297,0,0],[.09260408234,.89106421507,74.7815985673],[.01504247898,3.6271926092,
1.4844727083],[.00365981674,1.89962179044,73.297125859],[.00272328168,3.35823706307,149.5631971346],[7.0328461E-4,5.39254450063,63.7358983034],[6.8892678E-4,6.09292483287,76.2660712756],[6.1998615E-4,2.26952066061,2.9689454166],[6.1950719E-4,2.85098872691,11.0457002639],[2.646877E-4,3.14152083966,71.8126531507],[2.5710476E-4,6.11379840493,454.9093665273],[2.107885E-4,4.36059339067,148.0787244263],[1.7818647E-4,1.74436930289,36.6485629295],[1.4613507E-4,4.73732166022,3.9321532631],[1.1162509E-4,5.8268179635,
224.3447957019],[1.099791E-4,.48865004018,138.5174968707],[9.527478E-5,2.95516862826,35.1640902212],[7.545601E-5,5.236265824,109.9456887885],[4.220241E-5,3.23328220918,70.8494453042],[4.0519E-5,2.277550173,151.0476698429],[3.354596E-5,1.0654900738,4.4534181249],[2.926718E-5,4.62903718891,9.5612275556],[3.49034E-5,5.48306144511,146.594251718],[3.144069E-5,4.75199570434,77.7505439839],[2.922333E-5,5.35235361027,85.8272988312],[2.272788E-5,4.36600400036,70.3281804424],[2.051219E-5,1.51773566586,.1118745846],
[2.148602E-5,.60745949945,38.1330356378],[1.991643E-5,4.92437588682,277.0349937414],[1.376226E-5,2.04283539351,65.2203710117],[1.666902E-5,3.62744066769,380.12776796],[1.284107E-5,3.11347961505,202.2533951741],[1.150429E-5,.93343589092,3.1813937377],[1.533221E-5,2.58594681212,52.6901980395],[1.281604E-5,.54271272721,222.8603229936],[1.372139E-5,4.19641530878,111.4301614968],[1.221029E-5,.1990065003,108.4612160802],[9.46181E-6,1.19253165736,127.4717966068],[1.150989E-5,4.17898916639,33.6796175129]],
[[74.7815986091,0,0],[.00154332863,5.24158770553,74.7815985673],[2.4456474E-4,1.71260334156,1.4844727083],[9.258442E-5,.4282973235,11.0457002639],[8.265977E-5,1.50218091379,63.7358983034],[9.15016E-5,1.41213765216,149.5631971346]]],[[[.01346277648,2.61877810547,74.7815985673],[6.23414E-4,5.08111189648,149.5631971346],[6.1601196E-4,3.14159265359,0],[9.963722E-5,1.61603805646,76.2660712756],[9.92616E-5,.57630380333,73.297125859]],[[3.4101978E-4,.01321929936,74.7815985673]]],[[[19.21264847206,0,0],[.88784984413,
5.60377527014,74.7815985673],[.03440836062,.32836099706,73.297125859],[.0205565386,1.7829515933,149.5631971346],[.0064932241,4.52247285911,76.2660712756],[.00602247865,3.86003823674,63.7358983034],[.00496404167,1.40139935333,454.9093665273],[.00338525369,1.58002770318,138.5174968707],[.00243509114,1.57086606044,71.8126531507],[.00190522303,1.99809394714,1.4844727083],[.00161858838,2.79137786799,148.0787244263],[.00143706183,1.38368544947,11.0457002639],[9.3192405E-4,.17437220467,36.6485629295],[7.1424548E-4,
4.24509236074,224.3447957019],[8.9806014E-4,3.66105364565,109.9456887885],[3.9009723E-4,1.66971401684,70.8494453042],[4.6677296E-4,1.39976401694,35.1640902212],[3.9025624E-4,3.36234773834,277.0349937414],[3.6755274E-4,3.88649278513,146.594251718],[3.0348723E-4,.70100838798,151.0476698429],[2.9156413E-4,3.180563367,77.7505439839],[2.2637073E-4,.72518687029,529.6909650946],[1.1959076E-4,1.7504339214,984.6003316219],[2.5620756E-4,5.25656086672,380.12776796]],[[.01479896629,3.67205697578,74.7815985673]]]],
Neptune:[[[[5.31188633046,0,0],[.0179847553,2.9010127389,38.1330356378],[.01019727652,.48580922867,1.4844727083],[.00124531845,4.83008090676,36.6485629295],[4.2064466E-4,5.41054993053,2.9689454166],[3.7714584E-4,6.09221808686,35.1640902212],[3.3784738E-4,1.24488874087,76.2660712756],[1.6482741E-4,7.727998E-5,491.5579294568],[9.198584E-5,4.93747051954,39.6175083461],[8.99425E-5,.27462171806,175.1660598002]],[[38.13303563957,0,0],[1.6604172E-4,4.86323329249,1.4844727083],[1.5744045E-4,2.27887427527,
38.1330356378]]],[[[.03088622933,1.44104372644,38.1330356378],[2.7780087E-4,5.91271884599,76.2660712756],[2.7623609E-4,0,0],[1.5355489E-4,2.52123799551,36.6485629295],[1.5448133E-4,3.50877079215,39.6175083461]]],[[[30.07013205828,0,0],[.27062259632,1.32999459377,38.1330356378],[.01691764014,3.25186135653,36.6485629295],[.00807830553,5.18592878704,1.4844727083],[.0053776051,4.52113935896,35.1640902212],[.00495725141,1.5710564165,491.5579294568],[.00274571975,1.84552258866,175.1660598002],[1.201232E-4,
1.92059384991,1021.2488945514],[.00121801746,5.79754470298,76.2660712756],[.00100896068,.3770272493,73.297125859],[.00135134092,3.37220609835,39.6175083461],[7.571796E-5,1.07149207335,388.4651552382]]]]};
function DeltaT_EspenakMeeus(a){var b=2E3+(a-14)/DAYS_PER_TROPICAL_YEAR;if(-500>b)return a=(b-1820)/100,-20+32*a*a;if(500>b){a=b/100;b=a*a;var c=a*b;return 10583.6-1014.41*a+33.78311*b-5.952053*c-.1798452*b*b+.022174192*b*c+.0090316521*c*c}if(1600>b)return a=(b-1E3)/100,b=a*a,c=a*b,1574.2-556.01*a+71.23472*b+.319781*c-.8503463*b*b-.005050998*b*c+.0083572073*c*c;if(1700>b)return a=b-1600,b=a*a,120-.9808*a-.01532*b+a*b/7129;if(1800>b)return a=b-1700,b=a*a,8.83+.1603*a-.0059285*b+1.3336E-4*a*b-b*b/1174E3;
if(1860>b){a=b-1800;b=a*a;c=a*b;var d=b*b;return 13.72-.332447*a+.0068612*b+.0041116*c-3.7436E-4*d+1.21272E-5*b*c-1.699E-7*c*c+8.75E-10*c*d}if(1900>b)return a=b-1860,b=a*a,c=a*b,7.62+.5737*a-.251754*b+.01680668*c-4.473624E-4*b*b+b*c/233174;if(1920>b)return a=b-1900,b=a*a,-2.79+1.494119*a-.0598939*b+.0061966*a*b-1.97E-4*b*b;if(1941>b)return a=b-1920,b=a*a,21.2+.84493*a-.0761*b+.0020936*a*b;if(1961>b)return a=b-1950,b=a*a,29.07+.407*a-b/233+a*b/2547;if(1986>b)return a=b-1975,b=a*a,45.45+1.067*a-b/260-
a*b/718;if(2005>b)return a=b-2E3,b=a*a,c=a*b,63.86+.3345*a-.060374*b+.0017275*c+6.51814E-4*b*b+2.373599E-5*b*c;if(2050>b)return a=b-2E3,62.92+.32217*a+.005589*a*a;if(2150>b)return a=(b-1820)/100,-20+32*a*a-.5628*(2150-b);a=(b-1820)/100;return-20+32*a*a}exports.DeltaT_EspenakMeeus=DeltaT_EspenakMeeus;function DeltaT_JplHorizons(a){return DeltaT_EspenakMeeus(Math.min(a,17*DAYS_PER_TROPICAL_YEAR))}exports.DeltaT_JplHorizons=DeltaT_JplHorizons;var DeltaT=DeltaT_EspenakMeeus;
function SetDeltaTFunction(a){DeltaT=a}exports.SetDeltaTFunction=SetDeltaTFunction;function TerrestrialTime(a){return a+DeltaT(a)/86400}
var AstroTime=function(a){if(a instanceof AstroTime)this.date=a.date,this.ut=a.ut,this.tt=a.tt;else if(a instanceof Date&&Number.isFinite(a.getTime()))this.date=a,this.ut=(a.getTime()-J2000.getTime())/864E5,this.tt=TerrestrialTime(this.ut);else if(Number.isFinite(a))this.date=new Date(J2000.getTime()+864E5*a),this.ut=a,this.tt=TerrestrialTime(this.ut);else throw"Argument must be a Date object, an AstroTime object, or a numeric UTC Julian date.";};
AstroTime.FromTerrestrialTime=function(a){for(var b=new AstroTime(a);;){var c=a-b.tt;if(1E-12>Math.abs(c))return b;b=b.AddDays(c)}};AstroTime.prototype.toString=function(){return this.date.toISOString()};AstroTime.prototype.AddDays=function(a){return new AstroTime(this.ut+a)};exports.AstroTime=AstroTime;function InterpolateTime(a,b,c){return new AstroTime(a.ut+c*(b.ut-a.ut))}function MakeTime(a){return a instanceof AstroTime?a:new AstroTime(a)}exports.MakeTime=MakeTime;
function iau2000b(a){a=a.tt/36525;var b=(1287104.79305+1.295965810481E8*a)%ASEC360*ASEC2RAD,c=(335779.526232+1.7395272628478E9*a)%ASEC360*ASEC2RAD,d=(450160.398036-6962890.5431*a)%ASEC360*ASEC2RAD,e=Math.sin(d),f=Math.cos(d),g=(-172064161-174666*a)*e+33386*f,k=(92052331+9086*a)*f+15377*e;f=2*(c-(1072260.70369+1.602961601209E9*a)%ASEC360*ASEC2RAD+d);e=Math.sin(f);f=Math.cos(f);g+=(-13170906-1675*a)*e-13696*f;k+=(5730336-3015*a)*f-4587*e;f=2*(c+d);e=Math.sin(f);f=Math.cos(f);g+=(-2276413-234*a)*e+2796*
f;k+=(978459-485*a)*f+1374*e;f=2*d;e=Math.sin(f);f=Math.cos(f);g+=(2074554+207*a)*e-698*f;k+=(-897492+470*a)*f-291*e;e=Math.sin(b);f=Math.cos(b);return{dpsi:-1.35E-4+1E-7*(g+((1475877-3633*a)*e+11817*f)),deps:3.88E-4+1E-7*(k+((73871-184*a)*f-1924*e))}}function mean_obliq(a){a=a.tt/36525;return(((((-4.34E-8*a-5.76E-7)*a+.0020034)*a-1.831E-4)*a-46.836769)*a+84381.406)/3600}var cache_e_tilt;
function e_tilt(a){if(!cache_e_tilt||1E-6<Math.abs(cache_e_tilt.tt-a.tt)){var b=iau2000b(a),c=mean_obliq(a);cache_e_tilt={tt:a.tt,dpsi:b.dpsi,deps:b.deps,ee:b.dpsi*Math.cos(c*exports.DEG2RAD)/15,mobl:c,tobl:c+b.deps/3600}}return cache_e_tilt}exports.e_tilt=e_tilt;function obl_ecl2equ_vec(a,b){var c=a*exports.DEG2RAD;a=Math.cos(c);c=Math.sin(c);return[b[0],b[1]*a-b[2]*c,b[1]*c+b[2]*a]}function ecl2equ_vec(a,b){return obl_ecl2equ_vec(mean_obliq(a),b)}exports.CalcMoonCount=0;
function CalcMoon(a){function b(u,v,x,A){for(var w=[],D=0;D<=v-u;++D){var E=w,L=E.push,M,O=x,Q=A,P=[];for(M=0;M<=Q-O;++M)P.push(0);L.call(E,{min:O,array:P})}return{min:u,array:w}}function c(u,v,x){u=u.array[v-u.min];return u.array[x-u.min]}function d(u,v,x){u=r.array[u-r.min];u.array[v-u.min]=x}function e(u,v,x){u=q.array[u-q.min];u.array[v-u.min]=x}function f(u,v,x,A,w){w(u*x-v*A,v*x+u*A)}function g(u){return Math.sin(PI2*u)}function k(u,v,x,A){var w={x:1,y:0};u=[0,u,v,x,A];for(v=1;4>=v;++v)0!==
u[v]&&f(w.x,w.y,c(r,u[v],v),c(q,u[v],v),function(D,E){return w.x=D,w.y=E});return w}function h(u,v,x,A,w,D,E,L){w=k(w,D,E,L);n+=u*w.y;p+=v*w.y;H+=x*w.x;F+=A*w.x}++exports.CalcMoonCount;a=a.tt/36525;var l,m,n,p,r=b(-6,6,1,4),q=b(-6,6,1,4);var t=a*a;var H=p=n=0;var F=3422.7;var C=g(.19833+.05611*a);var B=g(.27869+.04508*a);var y=g(.16827-.36903*a);var z=g(.34734-5.37261*a);var G=g(.10498-5.37899*a);var I=g(.42681-.41855*a),R=g(.14943-5.37511*a);var J=.84*C+.31*B+14.27*y+7.26*z+.28*G+.24*I;var N=2.94*
C+.31*B+14.27*y+9.34*z+1.12*G+.83*I;var K=-6.4*C-1.89*I;B=.21*C+.31*B+14.27*y-88.7*z-15.3*G+.24*I-1.86*R;y=J-K;C=-3.332E-6*g(.59734-5.37261*a)-5.39E-7*g(.35498-5.37899*a)-6.4E-8*g(.39943-5.37511*a);J=PI2*Frac(.60643382+1336.85522467*a-3.13E-6*t)+J/ARC;N=PI2*Frac(.37489701+1325.55240982*a+2.565E-5*t)+N/ARC;K=PI2*Frac(.99312619+99.99735956*a-4.4E-7*t)+K/ARC;B=PI2*Frac(.25909118+1342.2278298*a-8.92E-6*t)+B/ARC;G=PI2*Frac(.82736186+1236.85308708*a-3.97E-6*t)+y/ARC;for(l=1;4>=l;++l){switch(l){case 1:y=
N;t=4;z=1.000002208;break;case 2:y=K;t=3;z=.997504612-.002495388*a;break;case 3:y=B;t=4;z=1.000002708+139.978*C;break;case 4:y=G;t=6;z=1;break;default:throw"Internal error: I = "+l;}d(0,l,1);d(1,l,Math.cos(y)*z);e(0,l,0);e(1,l,Math.sin(y)*z);for(m=2;m<=t;++m)f(c(r,m-1,l),c(q,m-1,l),c(r,1,l),c(q,1,l),function(u,v){return d(m,l,u),e(m,l,v)});for(m=1;m<=t;++m)d(-m,l,c(r,m,l)),e(-m,l,-c(q,m,l))}h(13.902,14.06,-.001,.2607,0,0,0,4);h(.403,-4.01,.394,.0023,0,0,0,3);h(2369.912,2373.36,.601,28.2333,0,0,0,
2);h(-125.154,-112.79,-.725,-.9781,0,0,0,1);h(1.979,6.98,-.445,.0433,1,0,0,4);h(191.953,192.72,.029,3.0861,1,0,0,2);h(-8.466,-13.51,.455,-.1093,1,0,0,1);h(22639.5,22609.07,.079,186.5398,1,0,0,0);h(18.609,3.59,-.094,.0118,1,0,0,-1);h(-4586.465,-4578.13,-.077,34.3117,1,0,0,-2);h(3.215,5.44,.192,-.0386,1,0,0,-3);h(-38.428,-38.64,.001,.6008,1,0,0,-4);h(-.393,-1.43,-.092,.0086,1,0,0,-6);h(-.289,-1.59,.123,-.0053,0,1,0,4);h(-24.42,-25.1,.04,-.3,0,1,0,2);h(18.023,17.93,.007,.1494,0,1,0,1);h(-668.146,-126.98,
-1.302,-.3997,0,1,0,0);h(.56,.32,-.001,-.0037,0,1,0,-1);h(-165.145,-165.06,.054,1.9178,0,1,0,-2);h(-1.877,-6.46,-.416,.0339,0,1,0,-4);h(.213,1.02,-.074,.0054,2,0,0,4);h(14.387,14.78,-.017,.2833,2,0,0,2);h(-.586,-1.2,.054,-.01,2,0,0,1);h(769.016,767.96,.107,10.1657,2,0,0,0);h(1.75,2.01,-.018,.0155,2,0,0,-1);h(-211.656,-152.53,5.679,-.3039,2,0,0,-2);h(1.225,.91,-.03,-.0088,2,0,0,-3);h(-30.773,-34.07,-.308,.3722,2,0,0,-4);h(-.57,-1.4,-.074,.0109,2,0,0,-6);h(-2.921,-11.75,.787,-.0484,1,1,0,2);h(1.267,
1.52,-.022,.0164,1,1,0,1);h(-109.673,-115.18,.461,-.949,1,1,0,0);h(-205.962,-182.36,2.056,1.4437,1,1,0,-2);h(.233,.36,.012,-.0025,1,1,0,-3);h(-4.391,-9.66,-.471,.0673,1,1,0,-4);h(.283,1.53,-.111,.006,1,-1,0,4);h(14.577,31.7,-1.54,.2302,1,-1,0,2);h(147.687,138.76,.679,1.1528,1,-1,0,0);h(-1.089,.55,.021,0,1,-1,0,-1);h(28.475,23.59,-.443,-.2257,1,-1,0,-2);h(-.276,-.38,-.006,-.0036,1,-1,0,-3);h(.636,2.27,.146,-.0102,1,-1,0,-4);h(-.189,-1.68,.131,-.0028,0,2,0,2);h(-7.486,-.66,-.037,-.0086,0,2,0,0);h(-8.096,
-16.35,-.74,.0918,0,2,0,-2);h(-5.741,-.04,0,-9E-4,0,0,2,2);h(.255,0,0,0,0,0,2,1);h(-411.608,-.2,0,-.0124,0,0,2,0);h(.584,.84,0,.0071,0,0,2,-1);h(-55.173,-52.14,0,-.1052,0,0,2,-2);h(.254,.25,0,-.0017,0,0,2,-3);h(.025,-1.67,0,.0031,0,0,2,-4);h(1.06,2.96,-.166,.0243,3,0,0,2);h(36.124,50.64,-1.3,.6215,3,0,0,0);h(-13.193,-16.4,.258,-.1187,3,0,0,-2);h(-1.187,-.74,.042,.0074,3,0,0,-4);h(-.293,-.31,-.002,.0046,3,0,0,-6);h(-.29,-1.45,.116,-.0051,2,1,0,2);h(-7.649,-10.56,.259,-.1038,2,1,0,0);h(-8.627,-7.59,
.078,-.0192,2,1,0,-2);h(-2.74,-2.54,.022,.0324,2,1,0,-4);h(1.181,3.32,-.212,.0213,2,-1,0,2);h(9.703,11.67,-.151,.1268,2,-1,0,0);h(-.352,-.37,.001,-.0028,2,-1,0,-1);h(-2.494,-1.17,-.003,-.0017,2,-1,0,-2);h(.36,.2,-.012,-.0043,2,-1,0,-4);h(-1.167,-1.25,.008,-.0106,1,2,0,0);h(-7.412,-6.12,.117,.0484,1,2,0,-2);h(-.311,-.65,-.032,.0044,1,2,0,-4);h(.757,1.82,-.105,.0112,1,-2,0,2);h(2.58,2.32,.027,.0196,1,-2,0,0);h(2.533,2.4,-.014,-.0212,1,-2,0,-2);h(-.344,-.57,-.025,.0036,0,3,0,-2);h(-.992,-.02,0,0,1,0,
2,2);h(-45.099,-.02,0,-.001,1,0,2,0);h(-.179,-9.52,0,-.0833,1,0,2,-2);h(-.301,-.33,0,.0014,1,0,2,-4);h(-6.382,-3.37,0,-.0481,1,0,-2,2);h(39.528,85.13,0,-.7136,1,0,-2,0);h(9.366,.71,0,-.0112,1,0,-2,-2);h(.202,.02,0,0,1,0,-2,-4);h(.415,.1,0,.0013,0,1,2,0);h(-2.152,-2.26,0,-.0066,0,1,2,-2);h(-1.44,-1.3,0,.0014,0,1,-2,2);h(.384,-.04,0,0,0,1,-2,-2);h(1.938,3.6,-.145,.0401,4,0,0,0);h(-.952,-1.58,.052,-.013,4,0,0,-2);h(-.551,-.94,.032,-.0097,3,1,0,0);h(-.482,-.57,.005,-.0045,3,1,0,-2);h(.681,.96,-.026,.0115,
3,-1,0,0);h(-.297,-.27,.002,-9E-4,2,2,0,-2);h(.254,.21,-.003,0,2,-2,0,-2);h(-.25,-.22,.004,.0014,1,3,0,-2);h(-3.996,0,0,4E-4,2,0,2,0);h(.557,-.75,0,-.009,2,0,2,-2);h(-.459,-.38,0,-.0053,2,0,-2,2);h(-1.298,.74,0,4E-4,2,0,-2,0);h(.538,1.14,0,-.0141,2,0,-2,-2);h(.263,.02,0,0,1,1,2,0);h(.426,.07,0,-6E-4,1,1,-2,-2);h(-.304,.03,0,3E-4,1,-1,2,0);h(-.372,-.19,0,-.0027,1,-1,-2,2);h(.418,0,0,0,0,0,4,0);h(-.33,-.04,0,0,3,0,2,0);t=-526.069*k(0,0,1,-2).y;t+=-3.352*k(0,0,1,-4).y;t+=44.297*k(1,0,1,-2).y;t+=-6*k(1,
0,1,-4).y;t+=20.599*k(-1,0,1,0).y;t+=-30.598*k(-1,0,1,-2).y;t+=-24.649*k(-2,0,1,0).y;t+=-2*k(-2,0,1,-2).y;t+=-22.571*k(0,1,1,-2).y;t+=10.985*k(0,-1,1,-2).y;n+=.82*g(.7736-62.5512*a)+.31*g(.0466-125.1025*a)+.35*g(.5785-25.1042*a)+.66*g(.4591+1335.8075*a)+.64*g(.313-91.568*a)+1.14*g(.148+1331.2898*a)+.21*g(.5918+1056.5859*a)+.44*g(.5784+1322.8595*a)+.24*g(.2275-5.7374*a)+.28*g(.2965+2.6929*a)+.33*g(.3132+6.3368*a);a=B+p/ARC;a=(1.000002708+139.978*C)*(18518.511+1.189+H)*Math.sin(a)-6.24*Math.sin(3*a)+
t;return{geo_eclip_lon:PI2*Frac((J+n/ARC)/PI2),geo_eclip_lat:Math.PI/648E3*a,distance_au:ARC*EARTH_EQUATORIAL_RADIUS_AU/(.999953253*F)}}var LibrationInfo=function(a,b,c,d,e,f){this.elat=a;this.elon=b;this.mlat=c;this.mlon=d;this.dist_km=e;this.diam_deg=f};exports.LibrationInfo=LibrationInfo;
function Libration(a){var b=MakeTime(a);a=b.tt/36525;var c=a*a,d=c*a,e=c*c,f=CalcMoon(b);b=f.geo_eclip_lon;var g=f.geo_eclip_lat;f=f.distance_au*exports.KM_PER_AU;var k=1.543*exports.DEG2RAD,h=exports.DEG2RAD*NormalizeLongitude(93.272095+483202.0175233*a-.0036539*c-d/3526E3+e/86331E4),l=exports.DEG2RAD*NormalizeLongitude(125.0445479-1934.1362891*a+.0020754*c+d/467441-e/60616E3),m=exports.DEG2RAD*NormalizeLongitude(357.5291092+35999.0502909*a-1.536E-4*c+d/2449E4),n=exports.DEG2RAD*NormalizeLongitude(134.9633964+
477198.8675055*a+.0087414*c+d/69699-e/14712E3);d=exports.DEG2RAD*NormalizeLongitude(297.8501921+445267.1114034*a-.0018819*c+d/545868-e/113065E3);c=1-.002516*a-7.4E-6*c;var p=b-l;e=Math.atan2(Math.sin(p)*Math.cos(g)*Math.cos(k)-Math.sin(g)*Math.sin(k),Math.cos(p)*Math.cos(g));var r=LongitudeOffset(exports.RAD2DEG*(e-h));k=Math.asin(-Math.sin(p)*Math.cos(g)*Math.sin(k)-Math.sin(g)*Math.cos(k));p=-.02752*Math.cos(n)+-.02245*Math.sin(h)+.00684*Math.cos(n-2*h)+-.00293*Math.cos(2*h)+-8.5E-4*Math.cos(2*
h-2*d)+-5.4E-4*Math.cos(n-2*d)+-2E-4*Math.sin(n+h)+-2E-4*Math.cos(n+2*h)+-2E-4*Math.cos(n-h)+1.4E-4*Math.cos(n+2*h-2*d);var q=-.02816*Math.sin(n)+.02244*Math.cos(h)+-.00682*Math.sin(n-2*h)+-.00279*Math.sin(2*h)+-8.3E-4*Math.sin(2*h-2*d)+6.9E-4*Math.sin(n-2*d)+4E-4*Math.cos(n+h)+-2.5E-4*Math.sin(2*n)+-2.3E-4*Math.sin(n+2*h)+2E-4*Math.cos(n-h)+1.9E-4*Math.sin(n-h)+1.3E-4*Math.sin(n+2*h-2*d)+-1E-4*Math.cos(n-3*h);return new LibrationInfo(exports.RAD2DEG*k+(q*Math.cos(e)-p*Math.sin(e)),r+(-(.0252*c*Math.sin(m)+
.00473*Math.sin(2*n-2*h)+-.00467*Math.sin(n)+.00396*Math.sin(exports.DEG2RAD*(119.75+131.849*a))+.00276*Math.sin(2*n-2*d)+.00196*Math.sin(l)+-.00183*Math.cos(n-h)+.00115*Math.sin(n-2*d)+-9.6E-4*Math.sin(n-d)+4.6E-4*Math.sin(2*h-2*d)+-3.9E-4*Math.sin(n-h)+-3.2E-4*Math.sin(n-m-d)+2.7E-4*Math.sin(2*n-m-2*d)+2.3E-4*Math.sin(exports.DEG2RAD*(72.56+20.186*a))+-1.4E-4*Math.sin(2*d)+1.4E-4*Math.cos(2*n-2*h)+-1.2E-4*Math.sin(n-2*h)+-1.2E-4*Math.sin(2*n)+1.1E-4*Math.sin(2*n-2*m-2*d))+(p*Math.cos(e)+q*Math.sin(e))*
Math.tan(k)),exports.RAD2DEG*g,exports.RAD2DEG*b,f,2*exports.RAD2DEG*Math.atan(MOON_MEAN_RADIUS_KM/Math.sqrt(f*f-MOON_MEAN_RADIUS_KM*MOON_MEAN_RADIUS_KM)))}exports.Libration=Libration;function rotate(a,b){return[a.rot[0][0]*b[0]+a.rot[1][0]*b[1]+a.rot[2][0]*b[2],a.rot[0][1]*b[0]+a.rot[1][1]*b[1]+a.rot[2][1]*b[2],a.rot[0][2]*b[0]+a.rot[1][2]*b[1]+a.rot[2][2]*b[2]]}function precession(a,b,c){b=precession_rot(b,c);return rotate(b,a)}
function precession_posvel(a,b,c){b=precession_rot(b,c);return RotateState(b,a)}
function precession_rot(a,b){a=a.tt/36525;var c=84381.406,d=((((3.337E-7*a-4.67E-7)*a-.00772503)*a+.0512623)*a-.025754)*a+c;c*=ASEC2RAD;var e=((((-9.51E-8*a+1.32851E-4)*a-.00114045)*a-1.0790069)*a+5038.481507)*a*ASEC2RAD;d*=ASEC2RAD;var f=((((-5.6E-8*a+1.70663E-4)*a-.00121197)*a-2.3814292)*a+10.556403)*a*ASEC2RAD;a=Math.sin(c);c=Math.cos(c);var g=Math.sin(-e);e=Math.cos(-e);var k=Math.sin(-d);d=Math.cos(-d);var h=Math.sin(f),l=Math.cos(f);f=l*e-g*h*d;var m=l*g*c+h*d*e*c-a*h*k,n=l*g*a+h*d*e*a+c*h*
k,p=-h*e-g*l*d,r=-h*g*c+l*d*e*c-a*l*k;h=-h*g*a+l*d*e*a+c*l*k;g*=k;l=-k*e*c-a*d;a=-k*e*a+d*c;if(b===PrecessDirection.Into2000)return new RotationMatrix([[f,m,n],[p,r,h],[g,l,a]]);if(b===PrecessDirection.From2000)return new RotationMatrix([[f,p,g],[m,r,l],[n,h,a]]);throw"Invalid precess direction";}function era(a){a=(.779057273264+.00273781191135448*a.ut+a.ut%1)%1*360;0>a&&(a+=360);return a}var sidereal_time_cache;
function sidereal_time(a){if(!sidereal_time_cache||sidereal_time_cache.tt!==a.tt){var b=a.tt/36525,c=15*e_tilt(a).ee,d=era(a);b=((c+.014506+((((-3.68E-8*b-2.9956E-5)*b-4.4E-7)*b+1.3915817)*b+4612.156534)*b)/3600+d)%360/15;0>b&&(b+=24);sidereal_time_cache={tt:a.tt,st:b}}return sidereal_time_cache.st}function SiderealTime(a){a=MakeTime(a);return sidereal_time(a)}exports.SiderealTime=SiderealTime;
function inverse_terra(a,b){var c=a[0]*exports.KM_PER_AU,d=a[1]*exports.KM_PER_AU;a=a[2]*exports.KM_PER_AU;var e=Math.hypot(c,d);if(1E-6>e){b=0;var f=0<a?90:-90;a=Math.abs(a)-EARTH_POLAR_RADIUS_KM}else{for(b=exports.RAD2DEG*Math.atan2(d,c)-15*b;-180>=b;)b+=360;for(;180<b;)b-=360;f=Math.atan2(a,e);for(var g,k=0;;){if(10<++k)throw"inverse_terra failed to converge.";c=Math.cos(f);d=Math.sin(f);var h=(EARTH_FLATTENING_SQUARED-1)*EARTH_EQUATORIAL_RADIUS_KM,l=c*c,m=d*d,n=l+EARTH_FLATTENING_SQUARED*m;g=
Math.sqrt(n);var p=h*d*c/g-a*c+e*d;if(1E-8>Math.abs(p))break;f-=p/(h*((l-m)/g-m*l*(EARTH_FLATTENING_SQUARED-1)/(h*n))+a*d+e*c)}f*=exports.RAD2DEG;g=EARTH_EQUATORIAL_RADIUS_KM/g;a=Math.abs(d)>Math.abs(c)?a/d-EARTH_FLATTENING_SQUARED*g:e/c-g}return new Observer(f,b,1E3*a)}
function terra(a,b){var c=a.latitude*exports.DEG2RAD,d=Math.sin(c);c=Math.cos(c);var e=1/Math.hypot(c,EARTH_FLATTENING*d),f=a.height/1E3,g=EARTH_EQUATORIAL_RADIUS_KM*e+f;b=(15*b+a.longitude)*exports.DEG2RAD;a=Math.sin(b);b=Math.cos(b);return{pos:[g*c*b/exports.KM_PER_AU,g*c*a/exports.KM_PER_AU,(EARTH_EQUATORIAL_RADIUS_KM*EARTH_FLATTENING_SQUARED*e+f)*d/exports.KM_PER_AU],vel:[-ANGVEL*g*c*a*86400/exports.KM_PER_AU,ANGVEL*g*c*b*86400/exports.KM_PER_AU,0]}}
function nutation(a,b,c){b=nutation_rot(b,c);return rotate(b,a)}function nutation_posvel(a,b,c){b=nutation_rot(b,c);return RotateState(b,a)}
function nutation_rot(a,b){a=e_tilt(a);var c=a.mobl*exports.DEG2RAD,d=a.tobl*exports.DEG2RAD,e=a.dpsi*ASEC2RAD;a=Math.cos(c);c=Math.sin(c);var f=Math.cos(d),g=Math.sin(d);d=Math.cos(e);var k=Math.sin(e);e=-k*a;var h=-k*c,l=k*f,m=d*a*f+c*g,n=d*c*f-a*g;k*=g;var p=d*a*g-c*f;a=d*c*g+a*f;if(b===PrecessDirection.From2000)return new RotationMatrix([[d,l,k],[e,m,p],[h,n,a]]);if(b===PrecessDirection.Into2000)return new RotationMatrix([[d,e,h],[l,m,n],[k,p,a]]);throw"Invalid precess direction";}
function gyration(a,b,c){return c===PrecessDirection.Into2000?precession(nutation(a,b,c),b,c):nutation(precession(a,b,c),b,c)}function gyration_posvel(a,b,c){return c===PrecessDirection.Into2000?precession_posvel(nutation_posvel(a,b,c),b,c):nutation_posvel(precession_posvel(a,b,c),b,c)}function geo_pos(a,b){var c=sidereal_time(a);b=terra(b,c).pos;return gyration(b,a,PrecessDirection.Into2000)}var Vector=function(a,b,c,d){this.x=a;this.y=b;this.z=c;this.t=d};
Vector.prototype.Length=function(){return Math.hypot(this.x,this.y,this.z)};exports.Vector=Vector;var StateVector=function(a,b,c,d,e,f,g){this.x=a;this.y=b;this.z=c;this.vx=d;this.vy=e;this.vz=f;this.t=g};exports.StateVector=StateVector;var Spherical=function(a,b,c){this.lat=VerifyNumber(a);this.lon=VerifyNumber(b);this.dist=VerifyNumber(c)};exports.Spherical=Spherical;var EquatorialCoordinates=function(a,b,c,d){this.ra=VerifyNumber(a);this.dec=VerifyNumber(b);this.dist=VerifyNumber(c);this.vec=d};
exports.EquatorialCoordinates=EquatorialCoordinates;function IsValidRotationArray(a){if(!(a instanceof Array)||3!==a.length)return!1;for(var b=0;3>b;++b){if(!(a[b]instanceof Array)||3!==a[b].length)return!1;for(var c=0;3>c;++c)if(!Number.isFinite(a[b][c]))return!1}return!0}var RotationMatrix=function(a){this.rot=a};exports.RotationMatrix=RotationMatrix;function MakeRotation(a){if(!IsValidRotationArray(a))throw"Argument must be a [3][3] array of numbers";return new RotationMatrix(a)}
exports.MakeRotation=MakeRotation;var HorizontalCoordinates=function(a,b,c,d){this.azimuth=VerifyNumber(a);this.altitude=VerifyNumber(b);this.ra=VerifyNumber(c);this.dec=VerifyNumber(d)};exports.HorizontalCoordinates=HorizontalCoordinates;var EclipticCoordinates=function(a,b,c){this.vec=a;this.elat=VerifyNumber(b);this.elon=VerifyNumber(c)};exports.EclipticCoordinates=EclipticCoordinates;function VectorFromArray(a,b){return new Vector(a[0],a[1],a[2],b)}
function vector2radec(a,b){b=VectorFromArray(a,b);var c=b.x*b.x+b.y*b.y,d=Math.sqrt(c+b.z*b.z);if(0===c){if(0===b.z)throw"Indeterminate sky coordinates";return new EquatorialCoordinates(0,0>b.z?-90:90,d,b)}var e=exports.RAD2HOUR*Math.atan2(b.y,b.x);0>e&&(e+=24);return new EquatorialCoordinates(e,exports.RAD2DEG*Math.atan2(a[2],Math.sqrt(c)),d,b)}function spin(a,b){var c=a*exports.DEG2RAD;a=Math.cos(c);c=Math.sin(c);return[a*b[0]+c*b[1],a*b[1]-c*b[0],b[2]]}
function Horizon(a,b,c,d,e){a=MakeTime(a);VerifyObserver(b);VerifyNumber(c);VerifyNumber(d);var f=Math.sin(b.latitude*exports.DEG2RAD),g=Math.cos(b.latitude*exports.DEG2RAD),k=Math.sin(b.longitude*exports.DEG2RAD),h=Math.cos(b.longitude*exports.DEG2RAD);b=Math.sin(d*exports.DEG2RAD);var l=Math.cos(d*exports.DEG2RAD),m=Math.sin(c*exports.HOUR2RAD),n=Math.cos(c*exports.HOUR2RAD),p=[g*h,g*k,f];f=[-f*h,-f*k,g];k=[k,-h,0];g=-15*sidereal_time(a);a=spin(g,p);p=spin(g,f);k=spin(g,k);b=[l*n,l*m,b];m=b[0]*
a[0]+b[1]*a[1]+b[2]*a[2];l=b[0]*p[0]+b[1]*p[1]+b[2]*p[2];p=b[0]*k[0]+b[1]*k[1]+b[2]*k[2];n=Math.hypot(l,p);0<n?(l=-exports.RAD2DEG*Math.atan2(p,l),0>l&&(l+=360)):l=0;m=exports.RAD2DEG*Math.atan2(n,m);n=d;if(e&&(d=m,e=Refraction(e,90-m),m-=e,0<e&&3E-4<m)){c=Math.sin(m*exports.DEG2RAD);n=Math.cos(m*exports.DEG2RAD);p=Math.sin(d*exports.DEG2RAD);d=Math.cos(d*exports.DEG2RAD);e=[];for(k=0;3>k;++k)e.push((b[k]-d*a[k])/p*c+a[k]*n);n=Math.hypot(e[0],e[1]);0<n?(c=exports.RAD2HOUR*Math.atan2(e[1],e[0]),0>
c&&(c+=24)):c=0;n=exports.RAD2DEG*Math.atan2(e[2],n)}return new HorizontalCoordinates(l,90-m,c,n)}exports.Horizon=Horizon;function VerifyObserver(a){if(!(a instanceof Observer))throw"Not an instance of the Observer class: "+a;VerifyNumber(a.latitude);VerifyNumber(a.longitude);VerifyNumber(a.height);if(-90>a.latitude||90<a.latitude)throw"Latitude "+a.latitude+" is out of range. Must be -90..+90.";return a}var Observer=function(a,b,c){this.latitude=a;this.longitude=b;this.height=c;VerifyObserver(this)};
exports.Observer=Observer;function SunPosition(a){a=MakeTime(a).AddDays(-1/exports.C_AUDAY);var b=CalcVsop(vsop.Earth,a),c=$jscomp.makeIterator(gyration([-b.x,-b.y,-b.z],a,PrecessDirection.From2000));b=c.next().value;var d=c.next().value,e=c.next().value,f=exports.DEG2RAD*e_tilt(a).tobl;c=Math.cos(f);f=Math.sin(f);a=new Vector(b,d,e,a);return RotateEquatorialToEcliptic(a,c,f)}exports.SunPosition=SunPosition;
function Equator(a,b,c,d,e){VerifyObserver(c);VerifyBoolean(d);VerifyBoolean(e);b=MakeTime(b);c=geo_pos(b,c);a=GeoVector(a,b,e);a=[a.x-c[0],a.y-c[1],a.z-c[2]];if(!d)return vector2radec(a,b);d=gyration(a,b,PrecessDirection.From2000);return vector2radec(d,b)}exports.Equator=Equator;function ObserverVector(a,b,c){a=MakeTime(a);var d=sidereal_time(a);b=terra(b,d).pos;c||(b=gyration(b,a,PrecessDirection.Into2000));return VectorFromArray(b,a)}exports.ObserverVector=ObserverVector;
function ObserverState(a,b,c){a=MakeTime(a);var d=sidereal_time(a);b=terra(b,d);b=new StateVector(b.pos[0],b.pos[1],b.pos[2],b.vel[0],b.vel[1],b.vel[2],a);return c?b:gyration_posvel(b,a,PrecessDirection.Into2000)}exports.ObserverState=ObserverState;function VectorObserver(a,b){var c=sidereal_time(a.t),d=[a.x,a.y,a.z];b||(d=precession(d,a.t,PrecessDirection.From2000),d=nutation(d,a.t,PrecessDirection.From2000));return inverse_terra(d,c)}exports.VectorObserver=VectorObserver;
function ObserverGravity(a,b){a=Math.sin(a*exports.DEG2RAD);a*=a;return 9.7803253359*(1+.00193185265241*a)/Math.sqrt(1-.00669437999013*a)*(1-(3.15704E-7-2.10269E-9*a)*b+7.37452E-14*b*b)}exports.ObserverGravity=ObserverGravity;function RotateEquatorialToEcliptic(a,b,c){var d=a.x,e=a.y*b+a.z*c;c=-a.y*c+a.z*b;var f=Math.hypot(d,e);b=0;0<f&&(b=exports.RAD2DEG*Math.atan2(e,d),0>b&&(b+=360));f=exports.RAD2DEG*Math.atan2(c,f);a=new Vector(d,e,c,a.t);return new EclipticCoordinates(a,f,b)}
function Ecliptic(a){var b=e_tilt(a.t),c=precession([a.x,a.y,a.z],a.t,PrecessDirection.From2000),d=$jscomp.makeIterator(nutation(c,a.t,PrecessDirection.From2000));c=d.next().value;var e=d.next().value;d=d.next().value;a=new Vector(c,e,d,a.t);b=b.tobl*exports.DEG2RAD;return RotateEquatorialToEcliptic(a,Math.cos(b),Math.sin(b))}exports.Ecliptic=Ecliptic;
function GeoMoon(a){a=MakeTime(a);var b=CalcMoon(a),c=b.distance_au*Math.cos(b.geo_eclip_lat);b=ecl2equ_vec(a,[c*Math.cos(b.geo_eclip_lon),c*Math.sin(b.geo_eclip_lon),b.distance_au*Math.sin(b.geo_eclip_lat)]);b=precession(b,a,PrecessDirection.Into2000);return new Vector(b[0],b[1],b[2],a)}exports.GeoMoon=GeoMoon;
function EclipticGeoMoon(a){var b=MakeTime(a);a=CalcMoon(b);var c=a.distance_au*Math.cos(a.geo_eclip_lat),d=[c*Math.cos(a.geo_eclip_lon),c*Math.sin(a.geo_eclip_lon),a.distance_au*Math.sin(a.geo_eclip_lat)];c=e_tilt(b);d=obl_ecl2equ_vec(c.mobl,d);d=nutation(d,b,PrecessDirection.From2000);b=VectorFromArray(d,b);c=c.tobl*exports.DEG2RAD;b=RotateEquatorialToEcliptic(b,Math.cos(c),Math.sin(c));return new Spherical(b.elat,b.elon,a.distance_au)}exports.EclipticGeoMoon=EclipticGeoMoon;
function GeoMoonState(a){a=MakeTime(a);var b=a.AddDays(-1E-5),c=a.AddDays(1E-5);b=GeoMoon(b);c=GeoMoon(c);return new StateVector((b.x+c.x)/2,(b.y+c.y)/2,(b.z+c.z)/2,(c.x-b.x)/2E-5,(c.y-b.y)/2E-5,(c.z-b.z)/2E-5,a)}exports.GeoMoonState=GeoMoonState;function GeoEmbState(a){a=MakeTime(a);var b=GeoMoonState(a),c=1+EARTH_MOON_MASS_RATIO;return new StateVector(b.x/c,b.y/c,b.z/c,b.vx/c,b.vy/c,b.vz/c,a)}exports.GeoEmbState=GeoEmbState;
function VsopFormula(a,b,c){var d=1,e=0;a=$jscomp.makeIterator(a);for(var f=a.next();!f.done;f=a.next()){var g=0;f=$jscomp.makeIterator(f.value);for(var k=f.next();!k.done;k=f.next()){var h=$jscomp.makeIterator(k.value);k=h.next().value;var l=h.next().value;h=h.next().value;g+=k*Math.cos(l+b*h)}g*=d;c&&(g%=PI2);e+=g;d*=b}return e}
function VsopDeriv(a,b){var c=1,d=0,e=0,f=0;a=$jscomp.makeIterator(a);for(var g=a.next();!g.done;g=a.next()){var k=0,h=0;g=$jscomp.makeIterator(g.value);for(var l=g.next();!l.done;l=g.next()){var m=$jscomp.makeIterator(l.value);l=m.next().value;var n=m.next().value;m=m.next().value;n+=b*m;k+=l*m*Math.sin(n);0<f&&(h+=l*Math.cos(n))}e+=f*d*h-c*k;d=c;c*=b;++f}return e}var DAYS_PER_MILLENNIUM=365250,LON_INDEX=0,LAT_INDEX=1,RAD_INDEX=2;
function VsopRotate(a){return new TerseVector(a[0]+4.4036E-7*a[1]-1.90919E-7*a[2],-4.79966E-7*a[0]+.917482137087*a[1]-.397776982902*a[2],.397776982902*a[1]+.917482137087*a[2])}function VsopSphereToRect(a,b,c){var d=c*Math.cos(b);return[d*Math.cos(a),d*Math.sin(a),c*Math.sin(b)]}function CalcVsop(a,b){var c=b.tt/DAYS_PER_MILLENNIUM,d=VsopFormula(a[LON_INDEX],c,!0),e=VsopFormula(a[LAT_INDEX],c,!1);a=VsopFormula(a[RAD_INDEX],c,!1);d=VsopSphereToRect(d,e,a);return VsopRotate(d).ToAstroVector(b)}
function CalcVsopPosVel(a,b){var c=b/DAYS_PER_MILLENNIUM,d=VsopFormula(a[LON_INDEX],c,!0),e=VsopFormula(a[LAT_INDEX],c,!1),f=VsopFormula(a[RAD_INDEX],c,!1),g=VsopDeriv(a[LON_INDEX],c),k=VsopDeriv(a[LAT_INDEX],c);c=VsopDeriv(a[RAD_INDEX],c);var h=Math.cos(d),l=Math.sin(d),m=Math.cos(e),n=Math.sin(e);a=+(c*m*h)-f*n*h*k-f*m*l*g;g=+(c*m*l)-f*n*l*k+f*m*h*g;k=+(c*n)+f*m*k;d=VsopSphereToRect(d,e,f);e=[a/DAYS_PER_MILLENNIUM,g/DAYS_PER_MILLENNIUM,k/DAYS_PER_MILLENNIUM];d=VsopRotate(d);e=VsopRotate(e);return new body_state_t(b,
d,e)}function AdjustBarycenter(a,b,c,d){d/=d+SUN_GM;b=CalcVsop(vsop[c],b);a.x+=d*b.x;a.y+=d*b.y;a.z+=d*b.z}function CalcSolarSystemBarycenter(a){var b=new Vector(0,0,0,a);AdjustBarycenter(b,a,Body.Jupiter,JUPITER_GM);AdjustBarycenter(b,a,Body.Saturn,SATURN_GM);AdjustBarycenter(b,a,Body.Uranus,URANUS_GM);AdjustBarycenter(b,a,Body.Neptune,NEPTUNE_GM);return b}
var PLUTO_NUM_STATES=51,PLUTO_TIME_STEP=29200,PLUTO_DT=146,PLUTO_NSTEPS=201,PlutoStateTable=[[-73E4,[-26.118207232108,-14.376168177825,3.384402515299],[.0016339372163656,-.0027861699588508,-.0013585880229445]],[-700800,[41.974905202127,-.448502952929,-12.770351505989],[7.3458569351457E-4,.0022785014891658,4.8619778602049E-4]],[-671600,[14.706930780744,44.269110540027,9.353698474772],[-.00210001479998,2.2295915939915E-4,7.0143443551414E-4]],[-642400,[-29.441003929957,-6.43016153057,6.858481011305],
[8.4495803960544E-4,-.0030783914758711,-.0012106305981192]],[-613200,[39.444396946234,-6.557989760571,-13.913760296463],[.0011480029005873,.0022400006880665,3.5168075922288E-4]],[-584E3,[20.2303809507,43.266966657189,7.382966091923],[-.0019754081700585,5.3457141292226E-4,7.5929169129793E-4]],[-554800,[-30.65832536462,2.093818874552,9.880531138071],[6.1010603013347E-5,-.0031326500935382,-9.9346125151067E-4]],[-525600,[35.737703251673,-12.587706024764,-14.677847247563],[.0015802939375649,.0021347678412429,
1.9074436384343E-4]],[-496400,[25.466295188546,41.367478338417,5.216476873382],[-.0018054401046468,8.328308359951E-4,8.0260156912107E-4]],[-467200,[-29.847174904071,10.636426313081,12.297904180106],[-6.3257063052907E-4,-.0029969577578221,-7.4476074151596E-4]],[-438E3,[30.774692107687,-18.236637015304,-14.945535879896],[.0020113162005465,.0019353827024189,-2.0937793168297E-6]],[-408800,[30.243153324028,38.656267888503,2.938501750218],[-.0016052508674468,.0011183495337525,8.3333973416824E-4]],[-379600,
[-27.288984772533,18.643162147874,14.023633623329],[-.0011856388898191,-.0027170609282181,-4.9015526126399E-4]],[-350400,[24.519605196774,-23.245756064727,-14.626862367368],[.0024322321483154,.0016062008146048,-2.3369181613312E-4]],[-321200,[34.505274805875,35.125338586954,.557361475637],[-.0013824391637782,.0013833397561817,8.4823598806262E-4]],[-292E3,[-23.275363915119,25.818514298769,15.055381588598],[-.0016062295460975,-.0023395961498533,-2.4377362639479E-4]],[-262800,[17.050384798092,-27.180376290126,
-13.608963321694],[.0028175521080578,.0011358749093955,-4.9548725258825E-4]],[-233600,[38.093671910285,30.880588383337,-1.843688067413],[-.0011317697153459,.0016128814698472,8.4177586176055E-4]],[-204400,[-18.197852930878,31.932869934309,15.438294826279],[-.0019117272501813,-.0019146495909842,-1.9657304369835E-5]],[-175200,[8.528924039997,-29.618422200048,-11.805400994258],[.0031034370787005,5.139363329243E-4,-7.7293066202546E-4]],[-146E3,[40.94685725864,25.904973592021,-4.256336240499],[-8.3652705194051E-4,
.0018129497136404,8.156422827306E-4]],[-116800,[-12.326958895325,36.881883446292,15.217158258711],[-.0021166103705038,-.001481442003599,1.7401209844705E-4]],[-87600,[-.633258375909,-30.018759794709,-9.17193287495],[.0032016994581737,-2.5279858672148E-4,-.0010411088271861]],[-58400,[42.936048423883,20.344685584452,-6.588027007912],[-5.0525450073192E-4,.0019910074335507,7.7440196540269E-4]],[-29200,[-5.975910552974,40.61180995846,14.470131723673],[-.0022184202156107,-.0010562361130164,3.3652250216211E-4]],
[0,[-9.875369580774,-27.978926224737,-5.753711824704],[.0030287533248818,-.0011276087003636,-.0012651326732361]],[29200,[43.958831986165,14.214147973292,-8.808306227163],[-1.4717608981871E-4,.0021404187242141,7.1486567806614E-4]],[58400,[.67813676352,43.094461639362,13.243238780721],[-.0022358226110718,-6.3233636090933E-4,4.7664798895648E-4]],[87600,[-18.282602096834,-23.30503958666,-1.766620508028],[.0025567245263557,-.0019902940754171,-.0013943491701082]],[116800,[43.873338744526,7.700705617215,
-10.814273666425],[2.3174803055677E-4,.0022402163127924,6.2988756452032E-4]],[146E3,[7.392949027906,44.382678951534,11.629500214854],[-.002193281545383,-2.1751799585364E-4,5.9556516201114E-4]],[175200,[-24.981690229261,-16.204012851426,2.466457544298],[.001819398914958,-.0026765419531201,-.0013848283502247]],[204400,[42.530187039511,.845935508021,-12.554907527683],[6.5059779150669E-4,.0022725657282262,5.1133743202822E-4]],[233600,[13.999526486822,44.462363044894,9.669418486465],[-.0021079296569252,
1.7533423831993E-4,6.9128485798076E-4]],[262800,[-29.184024803031,-7.371243995762,6.493275957928],[9.3581363109681E-4,-.0030610357109184,-.0012364201089345]],[292E3,[39.831980671753,-6.078405766765,-13.909815358656],[.0011117769689167,.0022362097830152,3.6230548231153E-4]],[321200,[20.294955108476,43.417190420251,7.450091985932],[-.0019742157451535,5.3102050468554E-4,7.5938408813008E-4]],[350400,[-30.66999230216,2.318743558955,9.973480913858],[4.5605107450676E-5,-.0031308219926928,-9.9066533301924E-4]],
[379600,[35.626122155983,-12.897647509224,-14.777586508444],[.0016015684949743,.0021171931182284,1.8002516202204E-4]],[408800,[26.133186148561,41.232139187599,5.00640132622],[-.0017857704419579,8.6046232702817E-4,8.0614690298954E-4]],[438E3,[-29.57674022923,11.863535943587,12.631323039872],[-7.2292830060955E-4,-.0029587820140709,-7.08242964503E-4]],[467200,[29.910805787391,-19.159019294,-15.013363865194],[.0020871080437997,.0018848372554514,-3.8528655083926E-5]],[496400,[31.375957451819,38.050372720763,
2.433138343754],[-.0015546055556611,.0011699815465629,8.3565439266001E-4]],[525600,[-26.360071336928,20.662505904952,14.414696258958],[-.0013142373118349,-.0026236647854842,-4.2542017598193E-4]],[554800,[22.599441488648,-24.508879898306,-14.484045731468],[.0025454108304806,.0014917058755191,-3.0243665086079E-4]],[584E3,[35.877864013014,33.894226366071,-.224524636277],[-.0012941245730845,.0014560427668319,8.4762160640137E-4]],[613200,[-21.538149762417,28.204068269761,15.321973799534],[-.001731211740901,
-.0021939631314577,-1.631691327518E-4]],[642400,[13.971521374415,-28.339941764789,-13.083792871886],[.0029334630526035,9.1860931752944E-4,-5.9939422488627E-4]],[671600,[39.526942044143,28.93989736011,-2.872799527539],[-.0010068481658095,.001702113288809,8.3578230511981E-4]],[700800,[-15.576200701394,34.399412961275,15.466033737854],[-.0020098814612884,-.0017191109825989,7.0414782780416E-5]],[73E4,[4.24325283709,-30.118201690825,-10.707441231349],[.0031725847067411,1.609846120227E-4,-9.0672150593868E-4]]],
TerseVector=function(a,b,c){this.x=a;this.y=b;this.z=c};TerseVector.prototype.clone=function(){return new TerseVector(this.x,this.y,this.z)};TerseVector.prototype.ToAstroVector=function(a){return new Vector(this.x,this.y,this.z,a)};TerseVector.zero=function(){return new TerseVector(0,0,0)};TerseVector.prototype.quadrature=function(){return this.x*this.x+this.y*this.y+this.z*this.z};TerseVector.prototype.add=function(a){return new TerseVector(this.x+a.x,this.y+a.y,this.z+a.z)};
TerseVector.prototype.sub=function(a){return new TerseVector(this.x-a.x,this.y-a.y,this.z-a.z)};TerseVector.prototype.incr=function(a){this.x+=a.x;this.y+=a.y;this.z+=a.z};TerseVector.prototype.decr=function(a){this.x-=a.x;this.y-=a.y;this.z-=a.z};TerseVector.prototype.mul=function(a){return new TerseVector(a*this.x,a*this.y,a*this.z)};TerseVector.prototype.div=function(a){return new TerseVector(this.x/a,this.y/a,this.z/a)};
TerseVector.prototype.mean=function(a){return new TerseVector((this.x+a.x)/2,(this.y+a.y)/2,(this.z+a.z)/2)};TerseVector.prototype.neg=function(){return new TerseVector(-this.x,-this.y,-this.z)};var body_state_t=function(a,b,c){this.tt=a;this.r=b;this.v=c};body_state_t.prototype.clone=function(){return new body_state_t(this.tt,this.r,this.v)};body_state_t.prototype.sub=function(a){return new body_state_t(this.tt,this.r.sub(a.r),this.v.sub(a.v))};
function BodyStateFromTable(a){var b=$jscomp.makeIterator(a);a=b.next().value;var c=$jscomp.makeIterator(b.next().value),d=c.next().value,e=c.next().value;c=c.next().value;var f=$jscomp.makeIterator(b.next().value);b=f.next().value;var g=f.next().value;f=f.next().value;return new body_state_t(a,new TerseVector(d,e,c),new TerseVector(b,g,f))}function AdjustBarycenterPosVel(a,b,c,d){d/=d+SUN_GM;b=CalcVsopPosVel(vsop[c],b);a.r.incr(b.r.mul(d));a.v.incr(b.v.mul(d));return b}
function AccelerationIncrement(a,b,c){a=c.sub(a);c=a.quadrature();return a.mul(b/(c*Math.sqrt(c)))}
var major_bodies_t=function(a){var b=new body_state_t(a,new TerseVector(0,0,0),new TerseVector(0,0,0));this.Jupiter=AdjustBarycenterPosVel(b,a,Body.Jupiter,JUPITER_GM);this.Saturn=AdjustBarycenterPosVel(b,a,Body.Saturn,SATURN_GM);this.Uranus=AdjustBarycenterPosVel(b,a,Body.Uranus,URANUS_GM);this.Neptune=AdjustBarycenterPosVel(b,a,Body.Neptune,NEPTUNE_GM);this.Jupiter.r.decr(b.r);this.Jupiter.v.decr(b.v);this.Saturn.r.decr(b.r);this.Saturn.v.decr(b.v);this.Uranus.r.decr(b.r);this.Uranus.v.decr(b.v);
this.Neptune.r.decr(b.r);this.Neptune.v.decr(b.v);this.Sun=new body_state_t(a,b.r.mul(-1),b.v.mul(-1))};major_bodies_t.prototype.Acceleration=function(a){var b=AccelerationIncrement(a,SUN_GM,this.Sun.r);b.incr(AccelerationIncrement(a,JUPITER_GM,this.Jupiter.r));b.incr(AccelerationIncrement(a,SATURN_GM,this.Saturn.r));b.incr(AccelerationIncrement(a,URANUS_GM,this.Uranus.r));b.incr(AccelerationIncrement(a,NEPTUNE_GM,this.Neptune.r));return b};
var body_grav_calc_t=function(a,b,c,d){this.tt=a;this.r=b;this.v=c;this.a=d};body_grav_calc_t.prototype.clone=function(){return new body_grav_calc_t(this.tt,this.r.clone(),this.v.clone(),this.a.clone())};var grav_sim_t=function(a,b){this.bary=a;this.grav=b};function UpdatePosition(a,b,c,d){return new TerseVector(b.x+a*(c.x+a*d.x/2),b.y+a*(c.y+a*d.y/2),b.z+a*(c.z+a*d.z/2))}function UpdateVelocity(a,b,c){return new TerseVector(b.x+a*c.x,b.y+a*c.y,b.z+a*c.z)}
function GravSim(a,b){var c=a-b.tt,d=new major_bodies_t(a),e=UpdatePosition(c,b.r,b.v,b.a),f=d.Acceleration(e).mean(b.a);e=UpdatePosition(c,b.r,b.v,f);b=b.v.add(f.mul(c));c=d.Acceleration(e);a=new body_grav_calc_t(a,e,b,c);return new grav_sim_t(d,a)}var pluto_cache=[];function ClampIndex(a,b){a=Math.floor(a);return 0>a?0:a>=b?b-1:a}
function GravFromState(a){var b=BodyStateFromTable(a);a=new major_bodies_t(b.tt);var c=b.r.add(a.Sun.r),d=b.v.add(a.Sun.v),e=a.Acceleration(c);b=new body_grav_calc_t(b.tt,c,d,e);return new grav_sim_t(a,b)}
function GetSegment(a,b){var c=PlutoStateTable[0][0];if(b<c||b>PlutoStateTable[PLUTO_NUM_STATES-1][0])return null;b=ClampIndex((b-c)/PLUTO_TIME_STEP,PLUTO_NUM_STATES-1);if(!a[b]){c=a[b]=[];c[0]=GravFromState(PlutoStateTable[b]).grav;c[PLUTO_NSTEPS-1]=GravFromState(PlutoStateTable[b+1]).grav;var d,e=c[0].tt;for(d=1;d<PLUTO_NSTEPS-1;++d)c[d]=GravSim(e+=PLUTO_DT,c[d-1]).grav;e=c[PLUTO_NSTEPS-1].tt;var f=[];f[PLUTO_NSTEPS-1]=c[PLUTO_NSTEPS-1];for(d=PLUTO_NSTEPS-2;0<d;--d)f[d]=GravSim(e-=PLUTO_DT,f[d+
1]).grav;for(d=PLUTO_NSTEPS-2;0<d;--d)e=d/(PLUTO_NSTEPS-1),c[d].r=c[d].r.mul(1-e).add(f[d].r.mul(e)),c[d].v=c[d].v.mul(1-e).add(f[d].v.mul(e)),c[d].a=c[d].a.mul(1-e).add(f[d].a.mul(e))}return a[b]}function CalcPlutoOneWay(a,b,c){a=GravFromState(a);for(var d=Math.ceil((b-a.grav.tt)/c),e=0;e<d;++e)a=GravSim(e+1===d?b:a.grav.tt+c,a.grav);return a}
function CalcPluto(a,b){var c;if(c=GetSegment(pluto_cache,a.tt)){var d=ClampIndex((a.tt-c[0].tt)/PLUTO_DT,PLUTO_NSTEPS-1);var e=c[d];var f=c[d+1],g=e.a.mean(f.a);d=UpdatePosition(a.tt-e.tt,e.r,e.v,g);c=UpdateVelocity(a.tt-e.tt,e.v,g);var k=UpdatePosition(a.tt-f.tt,f.r,f.v,g);f=UpdateVelocity(a.tt-f.tt,f.v,g);g=(a.tt-e.tt)/PLUTO_DT;e=d.mul(1-g).add(k.mul(g));c=c.mul(1-g).add(f.mul(g))}else{var h=a.tt<PlutoStateTable[0][0]?CalcPlutoOneWay(PlutoStateTable[0],a.tt,-PLUTO_DT):CalcPlutoOneWay(PlutoStateTable[PLUTO_NUM_STATES-
1],a.tt,+PLUTO_DT);e=h.grav.r;c=h.grav.v;h=h.bary}b&&(h||(h=new major_bodies_t(a.tt)),e=e.sub(h.Sun.r),c=c.sub(h.Sun.v));return new StateVector(e.x,e.y,e.z,c.x,c.y,c.z,a)}
var Rotation_JUP_EQJ=new RotationMatrix([[.999432765338654,-.0336771074697641,0],[.0303959428906285,.902057912352809,.430543388542295],[-.0144994559663353,-.430299169409101,.902569881273754]]),JupiterMoonModel=[{mu:2.82489428433814E-7,al:[1.446213296021224,3.5515522861824],a:[[.0028210960212903,0,0]],l:[[-1.925258348666E-4,4.9369589722645,.01358483658305],[-9.70803596076E-5,4.3188796477322,.01303413843243],[-8.988174165E-5,1.9080016428617,.00305064867158],[-5.53101050262E-5,1.4936156681569,.01293892891155]],
z:[[.0041510849668155,4.089939635545,-.01290686414666],[6.260521444113E-4,1.446188898627,3.5515522949802],[3.52747346169E-5,2.1256287034578,1.2727416567E-4]],zeta:[[3.142172466014E-4,2.7964219722923,-.002315096098],[9.04169207946E-5,1.0477061879627,-5.6920638196E-4]]},{mu:2.82483274392893E-7,al:[-.3735263437471362,1.76932271112347],a:[[.0044871037804314,0,0],[4.324367498E-7,1.819645606291,1.7822295777568]],l:[[8.576433172936E-4,4.3188693178264,.01303413830805],[4.549582875086E-4,1.4936531751079,.01293892881962],
[3.248939825174E-4,1.8196494533458,1.7822295777568],[-3.074250079334E-4,4.9377037005911,.01358483286724],[1.982386144784E-4,1.907986905476,.00305101212869],[1.834063551804E-4,2.1402853388529,.00145009789338],[-1.434383188452E-4,5.622214036663,.89111478887838],[-7.71939140944E-5,4.300272437235,2.6733443704266]],z:[[-.0093589104136341,4.0899396509039,-.01290686414666],[2.988994545555E-4,5.9097265185595,1.7693227079462],[2.13903639035E-4,2.1256289300016,1.2727418407E-4],[1.980963564781E-4,2.743516829265,
6.7797343009E-4],[1.210388158965E-4,5.5839943711203,3.20566149E-5],[8.37042048393E-5,1.6094538368039,-.90402165808846],[8.23525166369E-5,1.4461887708689,3.5515522949802]],zeta:[[.0040404917832303,1.0477063169425,-5.692064054E-4],[2.200421034564E-4,3.3368857864364,-1.2491307307E-4],[1.662544744719E-4,2.4134862374711,0],[5.90282470983E-5,5.9719930968366,-3.056160225E-5]]},{mu:2.82498184184723E-7,al:[.2874089391143348,.878207923589328],a:[[.0071566594572575,0,0],[1.393029911E-6,1.1586745884981,2.6733443704266]],
l:[[2.310797886226E-4,2.1402987195942,.00145009784384],[-1.828635964118E-4,4.3188672736968,.01303413828263],[1.512378778204E-4,4.9373102372298,.01358483481252],[-1.163720969778E-4,4.300265986149,2.6733443704266],[-9.55478069846E-5,1.4936612842567,.01293892879857],[8.15246854464E-5,5.6222137132535,.89111478887838],[-8.01219679602E-5,1.2995922951532,1.0034433456729],[-6.07017260182E-5,.64978769669238,.50172167043264]],z:[[.0014289811307319,2.1256295942739,1.2727413029E-4],[7.71093122676E-4,5.5836330003496,
3.20643411E-5],[5.925911780766E-4,4.0899396636448,-.01290686414666],[2.045597496146E-4,5.2713683670372,-.12523544076106],[1.785118648258E-4,.28743156721063,.8782079244252],[1.131999784893E-4,1.4462127277818,3.5515522949802],[-6.5877816921E-5,2.2702423990985,-1.7951364394537],[4.97058888328E-5,5.9096792204858,1.7693227129285]],zeta:[[.0015932721570848,3.3368862796665,-1.2491307058E-4],[8.533093128905E-4,2.4133881688166,0],[3.513347911037E-4,5.9720789850127,-3.056101771E-5],[-1.441929255483E-4,1.0477061764435,
-5.6920632124E-4]]},{mu:2.82492144889909E-7,al:[-.3620341291375704,.376486233433828],a:[[.0125879701715314,0,0],[3.595204947E-6,.64965776007116,.50172168165034],[2.7580210652E-6,1.808423578151,3.1750660413359]],l:[[5.586040123824E-4,2.1404207189815,.00145009793231],[-3.805813868176E-4,2.7358844897853,2.972965062E-5],[2.205152863262E-4,.649796525964,.5017216724358],[1.877895151158E-4,1.8084787604005,3.1750660413359],[7.66916975242E-5,6.2720114319755,1.3928364636651],[7.47056855106E-5,1.2995916202344,
1.0034433456729]],z:[[.0073755808467977,5.5836071576084,3.206509914E-5],[2.065924169942E-4,5.9209831565786,.37648624194703],[1.589869764021E-4,.28744006242623,.8782079244252],[-1.561131605348E-4,2.1257397865089,1.2727441285E-4],[1.486043380971E-4,1.4462134301023,3.5515522949802],[6.35073108731E-5,5.9096803285954,1.7693227129285],[5.99351698525E-5,4.1125517584798,-2.7985797954589],[5.40660842731E-5,5.5390350845569,.00286834082283],[-4.89596900866E-5,4.6218149483338,-.62695712529519]],zeta:[[.0038422977898495,
2.4133922085557,0],[.0022453891791894,5.9721736773277,-3.056125525E-5],[-2.604479450559E-4,3.3368746306409,-1.2491309972E-4],[3.3211214323E-5,5.5604137742337,.00290037688507]]}],JupiterMoonsInfo=function(a,b,c,d){this.io=a;this.europa=b;this.ganymede=c;this.callisto=d};exports.JupiterMoonsInfo=JupiterMoonsInfo;
function JupiterMoon_elem2pv(a,b,c){var d=c[0],e=c[1],f=c[2],g=c[3],k=c[4];c=c[5];var h=Math.sqrt(b/(d*d*d));b=e+f*Math.sin(e)-g*Math.cos(e);do{var l=Math.cos(b);var m=Math.sin(b);l=(e-b+f*m-g*l)/(1-f*l-g*m);b+=l}while(1E-12<=Math.abs(l));l=Math.cos(b);m=Math.sin(b);b=g*l-f*m;var n=-f*l-g*m,p=1/(1+n),r=1/(1+Math.sqrt(1-f*f-g*g));e=d*(l-f-r*g*b);b=d*(m-g+r*f*b);g=h*p*d*(-m-r*g*n);d=h*p*d*(+l+r*f*n);f=2*Math.sqrt(1-k*k-c*c);h=1-2*c*c;l=1-2*k*k;m=2*c*k;return new StateVector(e*h+b*m,e*m+b*l,(k*b-e*c)*
f,g*h+d*m,g*m+d*l,(k*d-g*c)*f,a)}
function CalcJupiterMoon(a,b){for(var c=a.tt+18262.5,d=[0,b.al[0]+c*b.al[1],0,0,0,0],e=$jscomp.makeIterator(b.a),f=e.next();!f.done;f=e.next()){var g=$jscomp.makeIterator(f.value);f=g.next().value;var k=g.next().value;g=g.next().value;d[0]+=f*Math.cos(k+c*g)}e=$jscomp.makeIterator(b.l);for(f=e.next();!f.done;f=e.next())g=$jscomp.makeIterator(f.value),f=g.next().value,k=g.next().value,g=g.next().value,d[1]+=f*Math.sin(k+c*g);d[1]%=PI2;0>d[1]&&(d[1]+=PI2);e=$jscomp.makeIterator(b.z);for(f=e.next();!f.done;f=
e.next())g=$jscomp.makeIterator(f.value),f=g.next().value,k=g.next().value,g=g.next().value,k+=c*g,d[2]+=f*Math.cos(k),d[3]+=f*Math.sin(k);e=$jscomp.makeIterator(b.zeta);for(f=e.next();!f.done;f=e.next())g=$jscomp.makeIterator(f.value),f=g.next().value,k=g.next().value,g=g.next().value,k+=c*g,d[4]+=f*Math.cos(k),d[5]+=f*Math.sin(k);a=JupiterMoon_elem2pv(a,b.mu,d);return RotateState(Rotation_JUP_EQJ,a)}
function JupiterMoons(a){a=new AstroTime(a);return new JupiterMoonsInfo(CalcJupiterMoon(a,JupiterMoonModel[0]),CalcJupiterMoon(a,JupiterMoonModel[1]),CalcJupiterMoon(a,JupiterMoonModel[2]),CalcJupiterMoon(a,JupiterMoonModel[3]))}exports.JupiterMoons=JupiterMoons;
function HelioVector(a,b){b=MakeTime(b);if(a in vsop)return CalcVsop(vsop[a],b);if(a===Body.Pluto)return a=CalcPluto(b,!0),new Vector(a.x,a.y,a.z,b);if(a===Body.Sun)return new Vector(0,0,0,b);if(a===Body.Moon){a=CalcVsop(vsop.Earth,b);var c=GeoMoon(b);return new Vector(a.x+c.x,a.y+c.y,a.z+c.z,b)}if(a===Body.EMB){a=CalcVsop(vsop.Earth,b);c=GeoMoon(b);var d=1+EARTH_MOON_MASS_RATIO;return new Vector(a.x+c.x/d,a.y+c.y/d,a.z+c.z/d,b)}if(a===Body.SSB)return CalcSolarSystemBarycenter(b);if(c=UserDefinedStar(a))return a=
new Spherical(c.dec,15*c.ra,c.dist),VectorFromSphere(a,b);throw'HelioVector: Unknown body "'+a+'"';}exports.HelioVector=HelioVector;function HelioDistance(a,b){var c=UserDefinedStar(a);if(c)return c.dist;b=MakeTime(b);return a in vsop?VsopFormula(vsop[a][RAD_INDEX],b.tt/DAYS_PER_MILLENNIUM,!1):HelioVector(a,b).Length()}exports.HelioDistance=HelioDistance;
function CorrectLightTravel(a,b){for(var c=b,d=0,e=0;10>e;++e){var f=a(c);d=f.Length()/exports.C_AUDAY;if(1<d)throw"Object is too distant for light-travel solver.";var g=b.AddDays(-d);d=Math.abs(g.tt-c.tt);if(1E-9>d)return f;c=g}throw"Light-travel time solver did not converge: dt = "+d;}exports.CorrectLightTravel=CorrectLightTravel;var BodyPosition=function(a,b,c,d){this.observerBody=a;this.targetBody=b;this.aberration=c;this.observerPos=d};
BodyPosition.prototype.Position=function(a){this.aberration&&(this.observerPos=HelioVector(this.observerBody,a));var b=HelioVector(this.targetBody,a);return new Vector(b.x-this.observerPos.x,b.y-this.observerPos.y,b.z-this.observerPos.z,a)};
function BackdatePosition(a,b,c,d){VerifyBoolean(d);a=MakeTime(a);if(UserDefinedStar(c)){c=HelioVector(c,a);if(d)return b=HelioState(b,a),d=new Vector(c.x-b.x,c.y-b.y,c.z-b.z,a),c=exports.C_AUDAY/d.Length(),new Vector(d.x+b.vx/c,d.y+b.vy/c,d.z+b.vz/c,a);b=HelioVector(b,a);return new Vector(c.x-b.x,c.y-b.y,c.z-b.z,a)}var e=d?new Vector(0,0,0,a):HelioVector(b,a);var f=new BodyPosition(b,c,d,e);return CorrectLightTravel(function(g){return f.Position(g)},a)}exports.BackdatePosition=BackdatePosition;
function GeoVector(a,b,c){VerifyBoolean(c);b=MakeTime(b);switch(a){case Body.Earth:return new Vector(0,0,0,b);case Body.Moon:return GeoMoon(b);default:return a=BackdatePosition(b,Body.Earth,a,c),a.t=b,a}}exports.GeoVector=GeoVector;function ExportState(a,b){return new StateVector(a.r.x,a.r.y,a.r.z,a.v.x,a.v.y,a.v.z,b)}
function BaryState(a,b){b=MakeTime(b);if(a===Body.SSB)return new StateVector(0,0,0,0,0,0,b);if(a===Body.Pluto)return CalcPluto(b,!1);var c=new major_bodies_t(b.tt);switch(a){case Body.Sun:return ExportState(c.Sun,b);case Body.Jupiter:return ExportState(c.Jupiter,b);case Body.Saturn:return ExportState(c.Saturn,b);case Body.Uranus:return ExportState(c.Uranus,b);case Body.Neptune:return ExportState(c.Neptune,b);case Body.Moon:case Body.EMB:var d=CalcVsopPosVel(vsop[Body.Earth],b.tt);a=a===Body.Moon?
GeoMoonState(b):GeoEmbState(b);return new StateVector(a.x+c.Sun.r.x+d.r.x,a.y+c.Sun.r.y+d.r.y,a.z+c.Sun.r.z+d.r.z,a.vx+c.Sun.v.x+d.v.x,a.vy+c.Sun.v.y+d.v.y,a.vz+c.Sun.v.z+d.v.z,b)}if(a in vsop)return a=CalcVsopPosVel(vsop[a],b.tt),new StateVector(c.Sun.r.x+a.r.x,c.Sun.r.y+a.r.y,c.Sun.r.z+a.r.z,c.Sun.v.x+a.v.x,c.Sun.v.y+a.v.y,c.Sun.v.z+a.v.z,b);throw'BaryState: Unsupported body "'+a+'"';}exports.BaryState=BaryState;
function HelioState(a,b){b=MakeTime(b);switch(a){case Body.Sun:return new StateVector(0,0,0,0,0,0,b);case Body.SSB:return a=new major_bodies_t(b.tt),new StateVector(-a.Sun.r.x,-a.Sun.r.y,-a.Sun.r.z,-a.Sun.v.x,-a.Sun.v.y,-a.Sun.v.z,b);case Body.Mercury:case Body.Venus:case Body.Earth:case Body.Mars:case Body.Jupiter:case Body.Saturn:case Body.Uranus:case Body.Neptune:return a=CalcVsopPosVel(vsop[a],b.tt),ExportState(a,b);case Body.Pluto:return CalcPluto(b,!0);case Body.Moon:case Body.EMB:var c=CalcVsopPosVel(vsop.Earth,
b.tt);a=a==Body.Moon?GeoMoonState(b):GeoEmbState(b);return new StateVector(a.x+c.r.x,a.y+c.r.y,a.z+c.r.z,a.vx+c.v.x,a.vy+c.v.y,a.vz+c.v.z,b);default:if(UserDefinedStar(a))return a=HelioVector(a,b),new StateVector(a.x,a.y,a.z,0,0,0,b);throw'HelioState: Unsupported body "'+a+'"';}}exports.HelioState=HelioState;
function QuadInterp(a,b,c,d,e){var f=(e+c)/2-d;c=(e-c)/2;if(0==f){if(0==c)return null;d=-d/c;if(-1>d||1<d)return null}else{d=c*c-4*f*d;if(0>=d)return null;e=Math.sqrt(d);d=(-c+e)/(2*f);e=(-c-e)/(2*f);if(-1<=d&&1>=d){if(-1<=e&&1>=e)return null}else if(-1<=e&&1>=e)d=e;else return null}return{t:a+d*b,df_dt:(2*f*d+c)/b}}
function Search(a,b,c,d){var e=VerifyNumber(d&&d.dt_tolerance_seconds||1);e=Math.abs(e/SECONDS_PER_DAY);var f=d&&d.init_f1||a(b),g=d&&d.init_f2||a(c),k=NaN,h=0;d=d&&d.iter_limit||20;for(var l=!0;;){if(++h>d)throw"Excessive iteration in Search()";var m=InterpolateTime(b,c,.5),n=m.ut-b.ut;if(Math.abs(n)<e)return m;l?k=a(m):l=!0;var p=QuadInterp(m.ut,c.ut-m.ut,f,k,g);if(p){var r=MakeTime(p.t),q=a(r);if(0!==p.df_dt){if(Math.abs(q/p.df_dt)<e)return r;p=1.2*Math.abs(q/p.df_dt);if(p<n/10&&(n=r.AddDays(-p),
r=r.AddDays(+p),0>(n.ut-b.ut)*(n.ut-c.ut)&&0>(r.ut-b.ut)*(r.ut-c.ut))){p=a(n);var t=a(r);if(0>p&&0<=t){f=p;g=t;b=n;c=r;k=q;l=!1;continue}}}}if(0>f&&0<=k)c=m,g=k;else if(0>k&&0<=g)b=m,f=k;else return null}}exports.Search=Search;function LongitudeOffset(a){for(;-180>=a;)a+=360;for(;180<a;)a-=360;return a}function NormalizeLongitude(a){for(;0>a;)a+=360;for(;360<=a;)a-=360;return a}
function SearchSunLongitude(a,b,c){VerifyNumber(a);VerifyNumber(c);b=MakeTime(b);c=b.AddDays(c);return Search(function(d){d=SunPosition(d);return LongitudeOffset(d.elon-a)},b,c,{dt_tolerance_seconds:.01})}exports.SearchSunLongitude=SearchSunLongitude;
function PairLongitude(a,b,c){if(a===Body.Earth||b===Body.Earth)throw"The Earth does not have a longitude as seen from itself.";c=MakeTime(c);a=GeoVector(a,c,!1);a=Ecliptic(a);b=GeoVector(b,c,!1);b=Ecliptic(b);return NormalizeLongitude(a.elon-b.elon)}exports.PairLongitude=PairLongitude;function AngleFromSun(a,b){if(a==Body.Earth)throw"The Earth does not have an angle as seen from itself.";var c=MakeTime(b);b=GeoVector(Body.Sun,c,!0);a=GeoVector(a,c,!0);return AngleBetween(b,a)}
exports.AngleFromSun=AngleFromSun;function EclipticLongitude(a,b){if(a===Body.Sun)throw"Cannot calculate heliocentric longitude of the Sun.";a=HelioVector(a,b);return Ecliptic(a).elon}exports.EclipticLongitude=EclipticLongitude;
function VisualMagnitude(a,b,c,d){var e=0,f=0,g=0;switch(a){case Body.Mercury:a=-.6;e=4.98;f=-4.88;g=3.02;break;case Body.Venus:163.6>b?(a=-4.47,e=1.03,f=.57,g=.13):(a=.98,e=-1.02);break;case Body.Mars:a=-1.52;e=1.6;break;case Body.Jupiter:a=-9.4;e=.5;break;case Body.Uranus:a=-7.19;e=.25;break;case Body.Neptune:a=-6.87;break;case Body.Pluto:a=-1;e=4;break;default:throw"VisualMagnitude: unsupported body "+a;}b/=100;return a+b*(e+b*(f+b*g))+5*Math.log10(c*d)}
function SaturnMagnitude(a,b,c,d,e){d=Ecliptic(d);var f=28.06*exports.DEG2RAD,g=exports.DEG2RAD*d.elat;e=Math.asin(Math.sin(g)*Math.cos(f)-Math.cos(g)*Math.sin(f)*Math.sin(exports.DEG2RAD*d.elon-exports.DEG2RAD*(169.51+3.82E-5*e.tt)));d=Math.sin(Math.abs(e));a=-9+.044*a+d*(-2.6+1.2*d)+5*Math.log10(b*c);return{mag:a,ring_tilt:exports.RAD2DEG*e}}function MoonMagnitude(a,b,c){a*=exports.DEG2RAD;var d=a*a;a=-12.717+1.49*Math.abs(a)+.0431*d*d;return a+=5*Math.log10(c/(385000.6/exports.KM_PER_AU)*b)}
var IlluminationInfo=function(a,b,c,d,e,f,g,k){this.time=a;this.mag=b;this.phase_angle=c;this.helio_dist=d;this.geo_dist=e;this.gc=f;this.hc=g;this.ring_tilt=k;this.phase_fraction=(1+Math.cos(exports.DEG2RAD*c))/2};exports.IlluminationInfo=IlluminationInfo;
function Illumination(a,b){if(a===Body.Earth)throw"The illumination of the Earth is not defined.";var c=MakeTime(b),d=CalcVsop(vsop.Earth,c);if(a===Body.Sun){var e=new Vector(-d.x,-d.y,-d.z,c);b=new Vector(0,0,0,c);d=0}else a===Body.Moon?(e=GeoMoon(c),b=new Vector(d.x+e.x,d.y+e.y,d.z+e.z,c)):(b=HelioVector(a,b),e=new Vector(b.x-d.x,b.y-d.y,b.z-d.z,c)),d=AngleBetween(e,b);var f=e.Length(),g=b.Length();if(a===Body.Sun)a=SUN_MAG_1AU+5*Math.log10(f);else if(a===Body.Moon)a=MoonMagnitude(d,g,f);else if(a===
Body.Saturn){var k=SaturnMagnitude(d,g,f,e,c);a=k.mag;k=k.ring_tilt}else a=VisualMagnitude(a,d,g,f);return new IlluminationInfo(c,a,d,g,f,e,b,k)}exports.Illumination=Illumination;function SynodicPeriod(a){if(a===Body.Earth)throw"The Earth does not have a synodic period as seen from itself.";if(a===Body.Moon)return MEAN_SYNODIC_MONTH;var b=Planet[a];if(!b)throw"Not a valid planet name: "+a;a=Planet.Earth.OrbitalPeriod;return Math.abs(a/(a/b.OrbitalPeriod-1))}
function SearchRelativeLongitude(a,b,c){function d(l){var m=EclipticLongitude(a,l);l=EclipticLongitude(Body.Earth,l);return LongitudeOffset(f*(l-m)-b)}VerifyNumber(b);var e=Planet[a];if(!e)throw"Cannot search relative longitude because body is not a planet: "+a;if(a===Body.Earth)throw"Cannot search relative longitude for the Earth (it is always 0)";var f=e.OrbitalPeriod>Planet.Earth.OrbitalPeriod?1:-1;e=SynodicPeriod(a);c=MakeTime(c);var g=d(c);0<g&&(g-=360);for(var k=0;100>k;++k){var h=-g/360*e;
c=c.AddDays(h);if(1>Math.abs(h)*SECONDS_PER_DAY)return c;h=g;g=d(c);30>Math.abs(h)&&h!==g&&(h/=h-g,.5<h&&2>h&&(e*=h))}throw"Relative longitude search failed to converge for "+a+" near "+c.toString()+" (error_angle = "+g+").";}exports.SearchRelativeLongitude=SearchRelativeLongitude;function MoonPhase(a){return PairLongitude(Body.Moon,Body.Sun,a)}exports.MoonPhase=MoonPhase;
function SearchMoonPhase(a,b,c){function d(k){k=MoonPhase(k);return LongitudeOffset(k-a)}VerifyNumber(a);VerifyNumber(c);b=MakeTime(b);var e=d(b);if(0>c){0>e&&(e+=360);var f=-(MEAN_SYNODIC_MONTH*e)/360;e=f+1.5;if(e<c)return null;var g=Math.max(c,f-1.5)}else{0<e&&(e-=360);f=-(MEAN_SYNODIC_MONTH*e)/360;g=f-1.5;if(g>c)return null;e=Math.min(c,f+1.5)}c=b.AddDays(g);b=b.AddDays(e);return Search(d,c,b,{dt_tolerance_seconds:.1})}exports.SearchMoonPhase=SearchMoonPhase;
var MoonQuarter=function(a,b){this.quarter=a;this.time=b};exports.MoonQuarter=MoonQuarter;function SearchMoonQuarter(a){var b=MoonPhase(a);b=(Math.floor(b/90)+1)%4;a=SearchMoonPhase(90*b,a,10);if(!a)throw"Cannot find moon quarter";return new MoonQuarter(b,a)}exports.SearchMoonQuarter=SearchMoonQuarter;function NextMoonQuarter(a){a=new Date(a.time.date.getTime()+6*MILLIS_PER_DAY);return SearchMoonQuarter(a)}exports.NextMoonQuarter=NextMoonQuarter;
var AtmosphereInfo=function(a,b,c){this.pressure=a;this.temperature=b;this.density=c};exports.AtmosphereInfo=AtmosphereInfo;function Atmosphere(a){if(!Number.isFinite(a)||-500>a||1E5<a)throw"Invalid elevation: "+a;if(11E3>=a){var b=288.15-.0065*a;a=101325*Math.pow(288.15/b,-5.25577)}else 2E4>=a?(b=216.65,a=22632*Math.exp(-1.5768832E-4*(a-11E3))):(b=216.65+.001*(a-2E4),a=5474.87*Math.pow(216.65/b,34.16319));return new AtmosphereInfo(a,b,a/b/(101325/288.15))}exports.Atmosphere=Atmosphere;
function HorizonDipAngle(a,b){var c=a.latitude*exports.DEG2RAD,d=Math.sin(c);c=Math.cos(c);var e=1/Math.hypot(c,d*EARTH_FLATTENING),f=(a.height-b)/1E3;a=.175*Math.pow(1-.0065/283.15*(a.height-2/3*b),3.256);return exports.RAD2DEG*-(Math.sqrt(2*(1-a)*b/(1E3*Math.hypot((EARTH_EQUATORIAL_RADIUS_KM*e+f)*c,(EARTH_EQUATORIAL_RADIUS_KM*e*EARTH_FLATTENING*EARTH_FLATTENING+f)*d)))/(1-a))}
function BodyRadiusAu(a){switch(a){case Body.Sun:return SUN_RADIUS_AU;case Body.Moon:return MOON_EQUATORIAL_RADIUS_AU;default:return 0}}function SearchRiseSet(a,b,c,d,e,f){f=void 0===f?0:f;if(!Number.isFinite(f)||0>f)throw"Invalid value for metersAboveGround: "+f;var g=BodyRadiusAu(a),k=Atmosphere(b.height-f);f=HorizonDipAngle(b,f)-REFRACTION_NEAR_HORIZON*k.density;return InternalSearchAltitude(a,b,c,d,e,g,f)}exports.SearchRiseSet=SearchRiseSet;
function SearchAltitude(a,b,c,d,e,f){if(!Number.isFinite(f)||-90>f||90<f)throw"Invalid altitude angle: "+f;return InternalSearchAltitude(a,b,c,d,e,0,f)}exports.SearchAltitude=SearchAltitude;var AscentInfo=function(a,b,c,d){this.tx=a;this.ty=b;this.ax=c;this.ay=d};
function FindAscent(a,b,c,d,e,f,g){if(0>f&&0<=g)return new AscentInfo(d,e,f,g);if(0<=f&&0>g)return null;if(17<a)throw"Excessive recursion in rise/set ascent search.";var k=e.ut-d.ut;if(1>k*SECONDS_PER_DAY||Math.min(Math.abs(f),Math.abs(g))>k/2*c)return null;k=new AstroTime((d.ut+e.ut)/2);var h=b(k);return FindAscent(1+a,b,c,d,k,f,h)||FindAscent(1+a,b,c,k,e,h,g)}
function MaxAltitudeSlope(a,b){if(-90>b||90<b)throw"Invalid geographic latitude: "+b;switch(a){case Body.Moon:a=4.5;var c=8.2;break;case Body.Sun:a=.8;c=.5;break;case Body.Mercury:a=-1.6;c=1;break;case Body.Venus:a=-.8;c=.6;break;case Body.Mars:a=-.5;c=.4;break;case Body.Jupiter:case Body.Saturn:case Body.Uranus:case Body.Neptune:case Body.Pluto:a=-.2;c=.2;break;case Body.Star1:case Body.Star2:case Body.Star3:case Body.Star4:case Body.Star5:case Body.Star6:case Body.Star7:case Body.Star8:a=-.008;
c=.008;break;default:throw"Body not allowed for altitude search: "+a;}b*=exports.DEG2RAD;return Math.abs((360/SOLAR_DAYS_PER_SIDEREAL_DAY-a)*Math.cos(b))+Math.abs(c*Math.sin(b))}
function InternalSearchAltitude(a,b,c,d,e,f,g){function k(q){var t=Equator(a,q,b,!0,!0);q=Horizon(q,b,t.ra,t.dec).altitude+exports.RAD2DEG*Math.asin(f/t.dist);return c*(q-g)}VerifyObserver(b);VerifyNumber(e);VerifyNumber(f);VerifyNumber(g);if(-90>g||90<g)throw"Invalid target altitude angle: "+g;for(var h=MaxAltitudeSlope(a,b.latitude),l=d=MakeTime(d),m=d,n=k(l),p=n;;){0>e?(l=m.AddDays(-.42),n=k(l)):(m=l.AddDays(.42),p=k(m));var r=FindAscent(0,k,h,l,m,n,p);if(r){if(h=Search(k,r.tx,r.ty,{dt_tolerance_seconds:.1,
init_f1:r.ax,init_f2:r.ay})){if(0>e){if(h.ut<d.ut+e)return null}else if(h.ut>d.ut+e)return null;return h}throw"Rise/set search failed after finding ascent: t1="+l+", t2="+m+", a1="+n+", a2="+p;}if(0>e){if(l.ut<d.ut+e)return null;m=l;p=n}else{if(m.ut>d.ut+e)return null;l=m;n=p}}}var HourAngleEvent=function(a,b){this.time=a;this.hor=b};exports.HourAngleEvent=HourAngleEvent;
function SearchHourAngle(a,b,c,d,e){e=void 0===e?1:e;VerifyObserver(b);d=MakeTime(d);var f=0;if(a===Body.Earth)throw"Cannot search for hour angle of the Earth.";VerifyNumber(c);if(0>c||24<=c)throw"Invalid hour angle "+c;VerifyNumber(e);if(0===e)throw"Direction must be positive or negative.";for(;;){++f;var g=sidereal_time(d),k=Equator(a,d,b,!0,!0);g=(c+k.ra-b.longitude/15-g)%24;1===f?0<e?0>g&&(g+=24):0<g&&(g-=24):-12>g?g+=24:12<g&&(g-=24);if(.1>3600*Math.abs(g))return a=Horizon(d,b,k.ra,k.dec,"normal"),
new HourAngleEvent(d,a);d=d.AddDays(g/24*SOLAR_DAYS_PER_SIDEREAL_DAY)}}exports.SearchHourAngle=SearchHourAngle;function HourAngle(a,b,c){var d=MakeTime(b);b=SiderealTime(d);a=Equator(a,d,c,!0,!0);c=(c.longitude/15+b-a.ra)%24;0>c&&(c+=24);return c}exports.HourAngle=HourAngle;var SeasonInfo=function(a,b,c,d){this.mar_equinox=a;this.jun_solstice=b;this.sep_equinox=c;this.dec_solstice=d};exports.SeasonInfo=SeasonInfo;
function Seasons(a){function b(g,k,h){k=new Date(Date.UTC(a,k-1,h));g=SearchSunLongitude(g,k,20);if(!g)throw"Cannot find season change near "+k.toISOString();return g}a instanceof Date&&Number.isFinite(a.getTime())&&(a=a.getUTCFullYear());if(!Number.isSafeInteger(a))throw"Cannot calculate seasons because year argument "+a+" is neither a Date nor a safe integer.";var c=b(0,3,10),d=b(90,6,10),e=b(180,9,10),f=b(270,12,10);return new SeasonInfo(c,d,e,f)}exports.Seasons=Seasons;
var ElongationEvent=function(a,b,c,d){this.time=a;this.visibility=b;this.elongation=c;this.ecliptic_separation=d};exports.ElongationEvent=ElongationEvent;function Elongation(a,b){b=MakeTime(b);var c=PairLongitude(a,Body.Sun,b);if(180<c){var d="morning";c=360-c}else d="evening";a=AngleFromSun(a,b);return new ElongationEvent(b,d,a,c)}exports.Elongation=Elongation;
function SearchMaxElongation(a,b){function c(l){var m=l.AddDays(-.005);l=l.AddDays(.005);m=AngleFromSun(a,m);l=AngleFromSun(a,l);return(m-l)/.01}b=MakeTime(b);var d={Mercury:{s1:50,s2:85},Venus:{s1:40,s2:50}}[a];if(!d)throw"SearchMaxElongation works for Mercury and Venus only.";for(var e=0;2>=++e;){var f=EclipticLongitude(a,b),g=EclipticLongitude(Body.Earth,b),k=LongitudeOffset(f-g),h=f=g=void 0;k>=-d.s1&&k<+d.s1?(h=0,g=+d.s1,f=+d.s2):k>=+d.s2||k<-d.s2?(h=0,g=-d.s2,f=-d.s1):0<=k?(h=-SynodicPeriod(a)/
4,g=+d.s1,f=+d.s2):(h=-SynodicPeriod(a)/4,g=-d.s2,f=-d.s1);k=b.AddDays(h);g=SearchRelativeLongitude(a,g,k);f=SearchRelativeLongitude(a,f,g);k=c(g);if(0<=k)throw"SearchMaxElongation: internal error: m1 = "+k;h=c(f);if(0>=h)throw"SearchMaxElongation: internal error: m2 = "+h;k=Search(c,g,f,{init_f1:k,init_f2:h,dt_tolerance_seconds:10});if(!k)throw"SearchMaxElongation: failed search iter "+e+" (t1="+g.toString()+", t2="+f.toString()+")";if(k.tt>=b.tt)return Elongation(a,k);b=f.AddDays(1)}throw"SearchMaxElongation: failed to find event after 2 tries.";
}exports.SearchMaxElongation=SearchMaxElongation;
function SearchPeakMagnitude(a,b){function c(h){var l=h.AddDays(-.005);h=h.AddDays(.005);l=Illumination(a,l).mag;return(Illumination(a,h).mag-l)/.01}if(a!==Body.Venus)throw"SearchPeakMagnitude currently works for Venus only.";b=MakeTime(b);for(var d=0;2>=++d;){var e=EclipticLongitude(a,b),f=EclipticLongitude(Body.Earth,b),g=LongitudeOffset(e-f),k=e=f=void 0;-10<=g&&10>g?(k=0,f=10,e=30):30<=g||-30>g?(k=0,f=-30,e=-10):0<=g?(k=-SynodicPeriod(a)/4,f=10,e=30):(k=-SynodicPeriod(a)/4,f=-30,e=-10);g=b.AddDays(k);
f=SearchRelativeLongitude(a,f,g);e=SearchRelativeLongitude(a,e,f);g=c(f);if(0<=g)throw"SearchPeakMagnitude: internal error: m1 = "+g;k=c(e);if(0>=k)throw"SearchPeakMagnitude: internal error: m2 = "+k;g=Search(c,f,e,{init_f1:g,init_f2:k,dt_tolerance_seconds:10});if(!g)throw"SearchPeakMagnitude: failed search iter "+d+" (t1="+f.toString()+", t2="+e.toString()+")";if(g.tt>=b.tt)return Illumination(a,g);b=e.AddDays(1)}throw"SearchPeakMagnitude: failed to find event after 2 tries.";}
exports.SearchPeakMagnitude=SearchPeakMagnitude;var ApsisKind;(function(a){a[a.Pericenter=0]="Pericenter";a[a.Apocenter=1]="Apocenter"})(ApsisKind=exports.ApsisKind||(exports.ApsisKind={}));var Apsis=function(a,b,c){this.time=a;this.kind=b;this.dist_au=c;this.dist_km=c*exports.KM_PER_AU};exports.Apsis=Apsis;
function SearchLunarApsis(a){function b(k){var h=k.AddDays(-5E-4);k=k.AddDays(5E-4);h=CalcMoon(h).distance_au;return(CalcMoon(k).distance_au-h)/.001}function c(k){return-b(k)}a=MakeTime(a);for(var d=b(a),e=0;5*e<2*MEAN_SYNODIC_MONTH;++e){var f=a.AddDays(5),g=b(f);if(0>=d*g){if(0>d||0<g){a=Search(b,a,f,{init_f1:d,init_f2:g});if(!a)throw"SearchLunarApsis INTERNAL ERROR: perigee search failed!";d=CalcMoon(a).distance_au;return new Apsis(a,0,d)}if(0<d||0>g){a=Search(c,a,f,{init_f1:-d,init_f2:-g});if(!a)throw"SearchLunarApsis INTERNAL ERROR: apogee search failed!";
d=CalcMoon(a).distance_au;return new Apsis(a,1,d)}throw"SearchLunarApsis INTERNAL ERROR: cannot classify apsis event!";}a=f;d=g}throw"SearchLunarApsis INTERNAL ERROR: could not find apsis within 2 synodic months of start date.";}exports.SearchLunarApsis=SearchLunarApsis;
function NextLunarApsis(a){var b=SearchLunarApsis(a.time.AddDays(11));if(1!==b.kind+a.kind)throw"NextLunarApsis INTERNAL ERROR: did not find alternating apogee/perigee: prev="+a.kind+" @ "+a.time.toString()+", next="+b.kind+" @ "+b.time.toString();return b}exports.NextLunarApsis=NextLunarApsis;
function PlanetExtreme(a,b,c,d){for(var e=b===ApsisKind.Apocenter?1:-1;;){d/=9;if(d<1/1440)return c=c.AddDays(d/2),a=HelioDistance(a,c),new Apsis(c,b,a);for(var f=-1,g=0,k=0;10>k;++k){var h=c.AddDays(k*d);h=e*HelioDistance(a,h);if(0==k||h>g)f=k,g=h}c=c.AddDays((f-1)*d);d*=2}}
function BruteSearchPlanetApsis(a,b){var c=b.AddDays(-30/360*Planet[a].OrbitalPeriod),d=b.AddDays(.75*Planet[a].OrbitalPeriod),e=c,f=c,g=-1,k=-1;d=(d.ut-c.ut)/99;for(var h=0;100>h;++h){var l=c.AddDays(h*d),m=HelioDistance(a,l);0===h?k=g=m:(m>k&&(k=m,f=l),m<g&&(g=m,e=l))}c=PlanetExtreme(a,0,e.AddDays(-2*d),4*d);a=PlanetExtreme(a,1,f.AddDays(-2*d),4*d);if(c.time.tt>=b.tt)return a.time.tt>=b.tt&&a.time.tt<c.time.tt?a:c;if(a.time.tt>=b.tt)return a;throw"Internal error: failed to find Neptune apsis.";
}
function SearchPlanetApsis(a,b){function c(m){var n=m.AddDays(-5E-4);m=m.AddDays(5E-4);n=HelioDistance(a,n);return(HelioDistance(a,m)-n)/.001}function d(m){return-c(m)}b=MakeTime(b);if(a===Body.Neptune||a===Body.Pluto)return BruteSearchPlanetApsis(a,b);for(var e=Planet[a].OrbitalPeriod,f=e/6,g=c(b),k=0;k*f<2*e;++k){var h=b.AddDays(f),l=c(h);if(0>=g*l){e=f=void 0;if(0>g||0<l)f=c,e=ApsisKind.Pericenter;else if(0<g||0>l)f=d,e=ApsisKind.Apocenter;else throw"Internal error with slopes in SearchPlanetApsis";b=
Search(f,b,h);if(!b)throw"Failed to find slope transition in planetary apsis search.";g=HelioDistance(a,b);return new Apsis(b,e,g)}b=h;g=l}throw"Internal error: should have found planetary apsis within 2 orbital periods.";}exports.SearchPlanetApsis=SearchPlanetApsis;
function NextPlanetApsis(a,b){if(b.kind!==ApsisKind.Pericenter&&b.kind!==ApsisKind.Apocenter)throw"Invalid apsis kind: "+b.kind;var c=b.time.AddDays(.25*Planet[a].OrbitalPeriod);a=SearchPlanetApsis(a,c);if(1!==a.kind+b.kind)throw"Internal error: previous apsis was "+b.kind+", but found "+a.kind+" for next apsis.";return a}exports.NextPlanetApsis=NextPlanetApsis;
function InverseRotation(a){return new RotationMatrix([[a.rot[0][0],a.rot[1][0],a.rot[2][0]],[a.rot[0][1],a.rot[1][1],a.rot[2][1]],[a.rot[0][2],a.rot[1][2],a.rot[2][2]]])}exports.InverseRotation=InverseRotation;
function CombineRotation(a,b){return new RotationMatrix([[b.rot[0][0]*a.rot[0][0]+b.rot[1][0]*a.rot[0][1]+b.rot[2][0]*a.rot[0][2],b.rot[0][1]*a.rot[0][0]+b.rot[1][1]*a.rot[0][1]+b.rot[2][1]*a.rot[0][2],b.rot[0][2]*a.rot[0][0]+b.rot[1][2]*a.rot[0][1]+b.rot[2][2]*a.rot[0][2]],[b.rot[0][0]*a.rot[1][0]+b.rot[1][0]*a.rot[1][1]+b.rot[2][0]*a.rot[1][2],b.rot[0][1]*a.rot[1][0]+b.rot[1][1]*a.rot[1][1]+b.rot[2][1]*a.rot[1][2],b.rot[0][2]*a.rot[1][0]+b.rot[1][2]*a.rot[1][1]+b.rot[2][2]*a.rot[1][2]],[b.rot[0][0]*
a.rot[2][0]+b.rot[1][0]*a.rot[2][1]+b.rot[2][0]*a.rot[2][2],b.rot[0][1]*a.rot[2][0]+b.rot[1][1]*a.rot[2][1]+b.rot[2][1]*a.rot[2][2],b.rot[0][2]*a.rot[2][0]+b.rot[1][2]*a.rot[2][1]+b.rot[2][2]*a.rot[2][2]]])}exports.CombineRotation=CombineRotation;function IdentityMatrix(){return new RotationMatrix([[1,0,0],[0,1,0],[0,0,1]])}exports.IdentityMatrix=IdentityMatrix;
function Pivot(a,b,c){if(0!==b&&1!==b&&2!==b)throw"Invalid axis "+b+". Must be [0, 1, 2].";var d=VerifyNumber(c)*exports.DEG2RAD;c=Math.cos(d);d=Math.sin(d);var e=(b+1)%3,f=(b+2)%3,g=[[0,0,0],[0,0,0],[0,0,0]];g[e][e]=c*a.rot[e][e]-d*a.rot[e][f];g[e][f]=d*a.rot[e][e]+c*a.rot[e][f];g[e][b]=a.rot[e][b];g[f][e]=c*a.rot[f][e]-d*a.rot[f][f];g[f][f]=d*a.rot[f][e]+c*a.rot[f][f];g[f][b]=a.rot[f][b];g[b][e]=c*a.rot[b][e]-d*a.rot[b][f];g[b][f]=d*a.rot[b][e]+c*a.rot[b][f];g[b][b]=a.rot[b][b];return new RotationMatrix(g)}
exports.Pivot=Pivot;function VectorFromSphere(a,b){b=MakeTime(b);var c=a.lat*exports.DEG2RAD,d=a.lon*exports.DEG2RAD,e=a.dist*Math.cos(c);return new Vector(e*Math.cos(d),e*Math.sin(d),a.dist*Math.sin(c),b)}exports.VectorFromSphere=VectorFromSphere;function EquatorFromVector(a){var b=SphereFromVector(a);return new EquatorialCoordinates(b.lon/15,b.lat,b.dist,a)}exports.EquatorFromVector=EquatorFromVector;
function SphereFromVector(a){var b=a.x*a.x+a.y*a.y,c=Math.sqrt(b+a.z*a.z);if(0===b){if(0===a.z)throw"Zero-length vector not allowed.";var d=0;a=0>a.z?-90:90}else d=exports.RAD2DEG*Math.atan2(a.y,a.x),0>d&&(d+=360),a=exports.RAD2DEG*Math.atan2(a.z,Math.sqrt(b));return new Spherical(a,d,c)}exports.SphereFromVector=SphereFromVector;function ToggleAzimuthDirection(a){a=360-a;360<=a?a-=360:0>a&&(a+=360);return a}
function HorizonFromVector(a,b){a=SphereFromVector(a);a.lon=ToggleAzimuthDirection(a.lon);a.lat+=Refraction(b,a.lat);return a}exports.HorizonFromVector=HorizonFromVector;function VectorFromHorizon(a,b,c){b=MakeTime(b);var d=ToggleAzimuthDirection(a.lon);c=a.lat+InverseRefraction(c,a.lat);a=new Spherical(c,d,a.dist);return VectorFromSphere(a,b)}exports.VectorFromHorizon=VectorFromHorizon;
function Refraction(a,b){VerifyNumber(b);if(-90>b||90<b)return 0;if("normal"===a||"jplhor"===a){var c=b;-1>c&&(c=-1);c=1.02/Math.tan((c+10.3/(c+5.11))*exports.DEG2RAD)/60;"normal"===a&&-1>b&&(c*=(b+90)/89)}else{if(a)throw"Invalid refraction option: "+a;c=0}return c}exports.Refraction=Refraction;function InverseRefraction(a,b){if(-90>b||90<b)return 0;for(var c=b-Refraction(a,b);;){var d=c+Refraction(a,c)-b;if(1E-14>Math.abs(d))return c-b;c-=d}}exports.InverseRefraction=InverseRefraction;
function RotateVector(a,b){return new Vector(a.rot[0][0]*b.x+a.rot[1][0]*b.y+a.rot[2][0]*b.z,a.rot[0][1]*b.x+a.rot[1][1]*b.y+a.rot[2][1]*b.z,a.rot[0][2]*b.x+a.rot[1][2]*b.y+a.rot[2][2]*b.z,b.t)}exports.RotateVector=RotateVector;
function RotateState(a,b){return new StateVector(a.rot[0][0]*b.x+a.rot[1][0]*b.y+a.rot[2][0]*b.z,a.rot[0][1]*b.x+a.rot[1][1]*b.y+a.rot[2][1]*b.z,a.rot[0][2]*b.x+a.rot[1][2]*b.y+a.rot[2][2]*b.z,a.rot[0][0]*b.vx+a.rot[1][0]*b.vy+a.rot[2][0]*b.vz,a.rot[0][1]*b.vx+a.rot[1][1]*b.vy+a.rot[2][1]*b.vz,a.rot[0][2]*b.vx+a.rot[1][2]*b.vy+a.rot[2][2]*b.vz,b.t)}exports.RotateState=RotateState;
function Rotation_EQJ_ECL(){return new RotationMatrix([[1,0,0],[0,.9174821430670688,-.3977769691083922],[0,.3977769691083922,.9174821430670688]])}exports.Rotation_EQJ_ECL=Rotation_EQJ_ECL;function Rotation_ECL_EQJ(){return new RotationMatrix([[1,0,0],[0,.9174821430670688,.3977769691083922],[0,-.3977769691083922,.9174821430670688]])}exports.Rotation_ECL_EQJ=Rotation_ECL_EQJ;
function Rotation_EQJ_EQD(a){a=MakeTime(a);var b=precession_rot(a,PrecessDirection.From2000);a=nutation_rot(a,PrecessDirection.From2000);return CombineRotation(b,a)}exports.Rotation_EQJ_EQD=Rotation_EQJ_EQD;function Rotation_EQJ_ECT(a){var b=MakeTime(a);a=Rotation_EQJ_EQD(b);b=Rotation_EQD_ECT(b);return CombineRotation(a,b)}exports.Rotation_EQJ_ECT=Rotation_EQJ_ECT;function Rotation_ECT_EQJ(a){var b=MakeTime(a);a=Rotation_ECT_EQD(b);b=Rotation_EQD_EQJ(b);return CombineRotation(a,b)}
exports.Rotation_ECT_EQJ=Rotation_ECT_EQJ;function Rotation_EQD_EQJ(a){a=MakeTime(a);var b=nutation_rot(a,PrecessDirection.Into2000);a=precession_rot(a,PrecessDirection.Into2000);return CombineRotation(b,a)}exports.Rotation_EQD_EQJ=Rotation_EQD_EQJ;
function Rotation_EQD_HOR(a,b){a=MakeTime(a);var c=Math.sin(b.latitude*exports.DEG2RAD),d=Math.cos(b.latitude*exports.DEG2RAD),e=Math.sin(b.longitude*exports.DEG2RAD),f=Math.cos(b.longitude*exports.DEG2RAD);b=[d*f,d*e,c];c=[-c*f,-c*e,d];e=[e,-f,0];a=-15*sidereal_time(a);b=spin(a,b);c=spin(a,c);a=spin(a,e);return new RotationMatrix([[c[0],a[0],b[0]],[c[1],a[1],b[1]],[c[2],a[2],b[2]]])}exports.Rotation_EQD_HOR=Rotation_EQD_HOR;
function Rotation_HOR_EQD(a,b){a=Rotation_EQD_HOR(a,b);return InverseRotation(a)}exports.Rotation_HOR_EQD=Rotation_HOR_EQD;function Rotation_HOR_EQJ(a,b){a=MakeTime(a);b=Rotation_HOR_EQD(a,b);a=Rotation_EQD_EQJ(a);return CombineRotation(b,a)}exports.Rotation_HOR_EQJ=Rotation_HOR_EQJ;function Rotation_EQJ_HOR(a,b){a=Rotation_HOR_EQJ(a,b);return InverseRotation(a)}exports.Rotation_EQJ_HOR=Rotation_EQJ_HOR;
function Rotation_EQD_ECL(a){a=Rotation_EQD_EQJ(a);var b=Rotation_EQJ_ECL();return CombineRotation(a,b)}exports.Rotation_EQD_ECL=Rotation_EQD_ECL;function Rotation_ECL_EQD(a){a=Rotation_EQD_ECL(a);return InverseRotation(a)}exports.Rotation_ECL_EQD=Rotation_ECL_EQD;function Rotation_ECL_HOR(a,b){a=MakeTime(a);var c=Rotation_ECL_EQD(a);a=Rotation_EQD_HOR(a,b);return CombineRotation(c,a)}exports.Rotation_ECL_HOR=Rotation_ECL_HOR;
function Rotation_HOR_ECL(a,b){a=Rotation_ECL_HOR(a,b);return InverseRotation(a)}exports.Rotation_HOR_ECL=Rotation_HOR_ECL;function Rotation_EQJ_GAL(){return new RotationMatrix([[-.0548624779711344,.4941095946388765,-.8676668813529025],[-.8734572784246782,-.4447938112296831,-.1980677870294097],[-.483800052994852,.7470034631630423,.4559861124470794]])}exports.Rotation_EQJ_GAL=Rotation_EQJ_GAL;
function Rotation_GAL_EQJ(){return new RotationMatrix([[-.0548624779711344,-.8734572784246782,-.483800052994852],[.4941095946388765,-.4447938112296831,.7470034631630423],[-.8676668813529025,-.1980677870294097,.4559861124470794]])}exports.Rotation_GAL_EQJ=Rotation_GAL_EQJ;function Rotation_ECT_EQD(a){var b=e_tilt(MakeTime(a)).tobl*exports.DEG2RAD;a=Math.cos(b);b=Math.sin(b);return new RotationMatrix([[1,0,0],[0,+a,+b],[0,-b,+a]])}exports.Rotation_ECT_EQD=Rotation_ECT_EQD;
function Rotation_EQD_ECT(a){var b=e_tilt(MakeTime(a)).tobl*exports.DEG2RAD;a=Math.cos(b);b=Math.sin(b);return new RotationMatrix([[1,0,0],[0,+a,-b],[0,+b,+a]])}exports.Rotation_EQD_ECT=Rotation_EQD_ECT;
var ConstelNames=[["And","Andromeda"],["Ant","Antila"],["Aps","Apus"],["Aql","Aquila"],["Aqr","Aquarius"],["Ara","Ara"],["Ari","Aries"],["Aur","Auriga"],["Boo","Bootes"],["Cae","Caelum"],["Cam","Camelopardis"],["Cap","Capricornus"],["Car","Carina"],["Cas","Cassiopeia"],["Cen","Centaurus"],["Cep","Cepheus"],["Cet","Cetus"],["Cha","Chamaeleon"],["Cir","Circinus"],["CMa","Canis Major"],["CMi","Canis Minor"],["Cnc","Cancer"],["Col","Columba"],["Com","Coma Berenices"],["CrA","Corona Australis"],["CrB",
"Corona Borealis"],["Crt","Crater"],["Cru","Crux"],["Crv","Corvus"],["CVn","Canes Venatici"],["Cyg","Cygnus"],["Del","Delphinus"],["Dor","Dorado"],["Dra","Draco"],["Equ","Equuleus"],["Eri","Eridanus"],["For","Fornax"],["Gem","Gemini"],["Gru","Grus"],["Her","Hercules"],["Hor","Horologium"],["Hya","Hydra"],["Hyi","Hydrus"],["Ind","Indus"],["Lac","Lacerta"],["Leo","Leo"],["Lep","Lepus"],["Lib","Libra"],["LMi","Leo Minor"],["Lup","Lupus"],["Lyn","Lynx"],["Lyr","Lyra"],["Men","Mensa"],["Mic","Microscopium"],
["Mon","Monoceros"],["Mus","Musca"],["Nor","Norma"],["Oct","Octans"],["Oph","Ophiuchus"],["Ori","Orion"],["Pav","Pavo"],["Peg","Pegasus"],["Per","Perseus"],["Phe","Phoenix"],["Pic","Pictor"],["PsA","Pisces Austrinus"],["Psc","Pisces"],["Pup","Puppis"],["Pyx","Pyxis"],["Ret","Reticulum"],["Scl","Sculptor"],["Sco","Scorpius"],["Sct","Scutum"],["Ser","Serpens"],["Sex","Sextans"],["Sge","Sagitta"],["Sgr","Sagittarius"],["Tau","Taurus"],["Tel","Telescopium"],["TrA","Triangulum Australe"],["Tri","Triangulum"],
["Tuc","Tucana"],["UMa","Ursa Major"],["UMi","Ursa Minor"],["Vel","Vela"],["Vir","Virgo"],["Vol","Volans"],["Vul","Vulpecula"]],ConstelBounds=[[83,0,8640,2112],[83,2880,5220,2076],[83,7560,8280,2068],[83,6480,7560,2064],[15,0,2880,2040],[10,3300,3840,1968],[15,0,1800,1920],[10,3840,5220,1920],[83,6300,6480,1920],[33,7260,7560,1920],[15,0,1263,1848],[10,4140,4890,1848],[83,5952,6300,1800],[15,7260,7440,1800],[10,2868,3300,1764],[33,3300,4080,1764],[83,4680,5952,1680],[13,1116,1230,1632],[33,7350,7440,
1608],[33,4080,4320,1596],[15,0,120,1584],[83,5040,5640,1584],[15,8490,8640,1584],[33,4320,4860,1536],[33,4860,5190,1512],[15,8340,8490,1512],[10,2196,2520,1488],[33,7200,7350,1476],[15,7393.2,7416,1462],[10,2520,2868,1440],[82,2868,3030,1440],[33,7116,7200,1428],[15,7200,7393.2,1428],[15,8232,8340,1418],[13,0,876,1404],[33,6990,7116,1392],[13,612,687,1380],[13,876,1116,1368],[10,1116,1140,1368],[15,8034,8232,1350],[10,1800,2196,1344],[82,5052,5190,1332],[33,5190,6990,1332],[10,1140,1200,1320],[15,
7968,8034,1320],[15,7416,7908,1316],[13,0,612,1296],[50,2196,2340,1296],[82,4350,4860,1272],[33,5490,5670,1272],[15,7908,7968,1266],[10,1200,1800,1260],[13,8232,8400,1260],[33,5670,6120,1236],[62,735,906,1212],[33,6120,6564,1212],[13,0,492,1200],[62,492,600,1200],[50,2340,2448,1200],[13,8400,8640,1200],[82,4860,5052,1164],[13,0,402,1152],[13,8490,8640,1152],[39,6543,6564,1140],[33,6564,6870,1140],[30,6870,6900,1140],[62,600,735,1128],[82,3030,3300,1128],[13,60,312,1104],[82,4320,4350,1080],[50,2448,
2652,1068],[30,7887,7908,1056],[30,7875,7887,1050],[30,6900,6984,1044],[82,3300,3660,1008],[82,3660,3882,960],[8,5556,5670,960],[39,5670,5880,960],[50,3330,3450,954],[0,0,906,882],[62,906,924,882],[51,6969,6984,876],[62,1620,1689,864],[30,7824,7875,864],[44,7875,7920,864],[7,2352,2652,852],[50,2652,2790,852],[0,0,720,840],[44,7920,8214,840],[44,8214,8232,828],[0,8232,8460,828],[62,924,978,816],[82,3882,3960,816],[29,4320,4440,816],[50,2790,3330,804],[48,3330,3558,804],[0,258,507,792],[8,5466,5556,
792],[0,8460,8550,770],[29,4440,4770,768],[0,8550,8640,752],[29,5025,5052,738],[80,870,978,736],[62,978,1620,736],[7,1620,1710,720],[51,6543,6969,720],[82,3960,4320,696],[30,7080,7530,696],[7,1710,2118,684],[48,3558,3780,684],[29,4770,5025,684],[0,0,24,672],[80,507,600,672],[7,2118,2352,672],[37,2838,2880,672],[30,7530,7824,672],[30,6933,7080,660],[80,690,870,654],[25,5820,5880,648],[8,5430,5466,624],[25,5466,5820,624],[51,6612,6792,624],[48,3870,3960,612],[51,6792,6933,612],[80,600,690,600],[66,
258,306,570],[48,3780,3870,564],[87,7650,7710,564],[77,2052,2118,548],[0,24,51,528],[73,5730,5772,528],[37,2118,2238,516],[87,7140,7290,510],[87,6792,6930,506],[0,51,306,504],[87,7290,7404,492],[37,2811,2838,480],[87,7404,7650,468],[87,6930,7140,460],[6,1182,1212,456],[75,6792,6840,444],[59,2052,2076,432],[37,2238,2271,420],[75,6840,7140,388],[77,1788,1920,384],[39,5730,5790,384],[75,7140,7290,378],[77,1662,1788,372],[77,1920,2016,372],[23,4620,4860,360],[39,6210,6570,344],[23,4272,4620,336],[37,
2700,2811,324],[39,6030,6210,308],[61,0,51,300],[77,2016,2076,300],[37,2520,2700,300],[61,7602,7680,300],[37,2271,2496,288],[39,6570,6792,288],[31,7515,7578,284],[61,7578,7602,284],[45,4146,4272,264],[59,2247,2271,240],[37,2496,2520,240],[21,2811,2853,240],[61,8580,8640,240],[6,600,1182,238],[31,7251,7308,204],[8,4860,5430,192],[61,8190,8580,180],[21,2853,3330,168],[45,3330,3870,168],[58,6570,6718.4,150],[3,6718.4,6792,150],[31,7500,7515,144],[20,2520,2526,132],[73,6570,6633,108],[39,5790,6030,96],
[58,6570,6633,72],[61,7728,7800,66],[66,0,720,48],[73,6690,6792,48],[31,7308,7500,48],[34,7500,7680,48],[61,7680,7728,48],[61,7920,8190,48],[61,7800,7920,42],[20,2526,2592,36],[77,1290,1662,0],[59,1662,1680,0],[20,2592,2910,0],[85,5280,5430,0],[58,6420,6570,0],[16,954,1182,-42],[77,1182,1290,-42],[73,5430,5856,-78],[59,1680,1830,-96],[59,2100,2247,-96],[73,6420,6468,-96],[73,6570,6690,-96],[3,6690,6792,-96],[66,8190,8580,-96],[45,3870,4146,-144],[85,4146,4260,-144],[66,0,120,-168],[66,8580,8640,-168],
[85,5130,5280,-192],[58,5730,5856,-192],[3,7200,7392,-216],[4,7680,7872,-216],[58,6180,6468,-240],[54,2100,2910,-264],[35,1770,1830,-264],[59,1830,2100,-264],[41,2910,3012,-264],[74,3450,3870,-264],[85,4260,4620,-264],[58,6330,6360,-280],[3,6792,7200,-288.8],[35,1740,1770,-348],[4,7392,7680,-360],[73,6180,6570,-384],[72,6570,6792,-384],[41,3012,3090,-408],[58,5856,5895,-438],[41,3090,3270,-456],[26,3870,3900,-456],[71,5856,5895,-462],[47,5640,5730,-480],[28,4530,4620,-528],[85,4620,5130,-528],[41,
3270,3510,-576],[16,600,954,-585.2],[35,954,1350,-585.2],[26,3900,4260,-588],[28,4260,4530,-588],[47,5130,5370,-588],[58,5856,6030,-590],[16,0,600,-612],[11,7680,7872,-612],[4,7872,8580,-612],[16,8580,8640,-612],[41,3510,3690,-636],[35,1692,1740,-654],[46,1740,2202,-654],[11,7200,7680,-672],[41,3690,3810,-700],[41,4530,5370,-708],[47,5370,5640,-708],[71,5640,5760,-708],[35,1650,1692,-720],[58,6030,6336,-720],[76,6336,6420,-720],[41,3810,3900,-748],[19,2202,2652,-792],[41,4410,4530,-792],[41,3900,
4410,-840],[36,1260,1350,-864],[68,3012,3372,-882],[35,1536,1650,-888],[76,6420,6900,-888],[65,7680,8280,-888],[70,8280,8400,-888],[36,1080,1260,-950],[1,3372,3960,-954],[70,0,600,-960],[36,600,1080,-960],[35,1392,1536,-960],[70,8400,8640,-960],[14,5100,5370,-1008],[49,5640,5760,-1008],[71,5760,5911.5,-1008],[9,1740,1800,-1032],[22,1800,2370,-1032],[67,2880,3012,-1032],[35,1230,1392,-1056],[71,5911.5,6420,-1092],[24,6420,6900,-1092],[76,6900,7320,-1092],[53,7320,7680,-1092],[35,1080,1230,-1104],[9,
1620,1740,-1116],[49,5520,5640,-1152],[63,0,840,-1156],[35,960,1080,-1176],[40,1470,1536,-1176],[9,1536,1620,-1176],[38,7680,7920,-1200],[67,2160,2880,-1218],[84,2880,2940,-1218],[35,870,960,-1224],[40,1380,1470,-1224],[63,0,660,-1236],[12,2160,2220,-1260],[84,2940,3042,-1272],[40,1260,1380,-1276],[32,1380,1440,-1276],[63,0,570,-1284],[35,780,870,-1296],[64,1620,1800,-1296],[49,5418,5520,-1296],[84,3042,3180,-1308],[12,2220,2340,-1320],[14,4260,4620,-1320],[49,5100,5418,-1320],[56,5418,5520,-1320],
[32,1440,1560,-1356],[84,3180,3960,-1356],[14,3960,4050,-1356],[5,6300,6480,-1368],[78,6480,7320,-1368],[38,7920,8400,-1368],[40,1152,1260,-1380],[64,1800,1980,-1380],[12,2340,2460,-1392],[63,0,480,-1404],[35,480,780,-1404],[63,8400,8640,-1404],[32,1560,1650,-1416],[56,5520,5911.5,-1440],[43,7320,7680,-1440],[64,1980,2160,-1464],[18,5460,5520,-1464],[5,5911.5,5970,-1464],[18,5370,5460,-1526],[5,5970,6030,-1526],[64,2160,2460,-1536],[12,2460,3252,-1536],[14,4050,4260,-1536],[27,4260,4620,-1536],[14,
4620,5232,-1536],[18,4860,4920,-1560],[5,6030,6060,-1560],[40,780,1152,-1620],[69,1152,1650,-1620],[18,5310,5370,-1620],[5,6060,6300,-1620],[60,6300,6480,-1620],[81,7920,8400,-1620],[32,1650,2370,-1680],[18,4920,5310,-1680],[79,5310,6120,-1680],[81,0,480,-1800],[42,1260,1650,-1800],[86,2370,3252,-1800],[12,3252,4050,-1800],[55,4050,4920,-1800],[60,6480,7680,-1800],[43,7680,8400,-1800],[81,8400,8640,-1800],[81,270,480,-1824],[42,0,1260,-1980],[17,2760,4920,-1980],[2,4920,6480,-1980],[52,1260,2760,
-2040],[57,0,8640,-2160]],ConstelRot,Epoch2000,ConstellationInfo=function(a,b,c,d){this.symbol=a;this.name=b;this.ra1875=c;this.dec1875=d};exports.ConstellationInfo=ConstellationInfo;
function Constellation(a,b){VerifyNumber(a);VerifyNumber(b);if(-90>b||90<b)throw"Invalid declination angle. Must be -90..+90.";a%=24;0>a&&(a+=24);ConstelRot||(ConstelRot=Rotation_EQJ_EQD(new AstroTime(-45655.74141261017)),Epoch2000=new AstroTime(0));a=new Spherical(b,15*a,1);a=VectorFromSphere(a,Epoch2000);a=RotateVector(ConstelRot,a);a=EquatorFromVector(a);b=10/240;for(var c=b/15,d=$jscomp.makeIterator(ConstelBounds),e=d.next();!e.done;e=d.next()){e=e.value;var f=e[1]*c,g=e[2]*c;if(e[3]*b<=a.dec&&
f<=a.ra&&a.ra<g)return b=ConstelNames[e[0]],new ConstellationInfo(b[0],b[1],a.ra,a.dec)}throw"Unable to find constellation for given coordinates.";}exports.Constellation=Constellation;var EclipseKind;(function(a){a.Penumbral="penumbral";a.Partial="partial";a.Annular="annular";a.Total="total"})(EclipseKind=exports.EclipseKind||(exports.EclipseKind={}));var LunarEclipseInfo=function(a,b,c,d,e,f){this.kind=a;this.obscuration=b;this.peak=c;this.sd_penum=d;this.sd_partial=e;this.sd_total=f};
exports.LunarEclipseInfo=LunarEclipseInfo;var ShadowInfo=function(a,b,c,d,e,f,g){this.time=a;this.u=b;this.r=c;this.k=d;this.p=e;this.target=f;this.dir=g};function CalcShadow(a,b,c,d){var e=(d.x*c.x+d.y*c.y+d.z*c.z)/(d.x*d.x+d.y*d.y+d.z*d.z);return new ShadowInfo(b,e,exports.KM_PER_AU*Math.hypot(e*d.x-c.x,e*d.y-c.y,e*d.z-c.z),+SUN_RADIUS_KM-(1+e)*(SUN_RADIUS_KM-a),-SUN_RADIUS_KM+(1+e)*(SUN_RADIUS_KM+a),c,d)}
function EarthShadow(a){var b=GeoVector(Body.Sun,a,!0);b=new Vector(-b.x,-b.y,-b.z,b.t);var c=GeoMoon(a);return CalcShadow(EARTH_ECLIPSE_RADIUS_KM,a,c,b)}function MoonShadow(a){var b=GeoVector(Body.Sun,a,!0),c=GeoMoon(a),d=new Vector(-c.x,-c.y,-c.z,c.t);c.x-=b.x;c.y-=b.y;c.z-=b.z;return CalcShadow(MOON_MEAN_RADIUS_KM,a,d,c)}
function LocalMoonShadow(a,b){var c=geo_pos(a,b);b=GeoVector(Body.Sun,a,!0);var d=GeoMoon(a);c=new Vector(c[0]-d.x,c[1]-d.y,c[2]-d.z,a);d.x-=b.x;d.y-=b.y;d.z-=b.z;return CalcShadow(MOON_MEAN_RADIUS_KM,a,c,d)}function PlanetShadow(a,b,c){a=GeoVector(a,c,!0);var d=GeoVector(Body.Sun,c,!0),e=new Vector(a.x-d.x,a.y-d.y,a.z-d.z,c);d.x=-a.x;d.y=-a.y;d.z=-a.z;return CalcShadow(b,c,d,e)}function ShadowDistanceSlope(a,b){var c=1/86400,d=b.AddDays(-c);b=b.AddDays(+c);d=a(d);return(a(b).r-d.r)/c}
function PlanetShadowSlope(a,b,c){var d=1/86400,e=PlanetShadow(a,b,c.AddDays(-d));return(PlanetShadow(a,b,c.AddDays(+d)).r-e.r)/d}function PeakEarthShadow(a){var b=a.AddDays(-.03);a=a.AddDays(.03);b=Search(function(c){return ShadowDistanceSlope(EarthShadow,c)},b,a);if(!b)throw"Failed to find peak Earth shadow time.";return EarthShadow(b)}
function PeakMoonShadow(a){var b=a.AddDays(-.03);a=a.AddDays(.03);b=Search(function(c){return ShadowDistanceSlope(MoonShadow,c)},b,a);if(!b)throw"Failed to find peak Moon shadow time.";return MoonShadow(b)}function PeakPlanetShadow(a,b,c){var d=c.AddDays(-1);c=c.AddDays(1);d=Search(function(e){return PlanetShadowSlope(a,b,e)},d,c);if(!d)throw"Failed to find peak planet shadow time.";return PlanetShadow(a,b,d)}
function PeakLocalMoonShadow(a,b){function c(f){return LocalMoonShadow(f,b)}var d=a.AddDays(-.2),e=a.AddDays(.2);d=Search(function(f){return ShadowDistanceSlope(c,f)},d,e);if(!d)throw"PeakLocalMoonShadow: search failure for search_center_time = "+a;return LocalMoonShadow(d,b)}
function ShadowSemiDurationMinutes(a,b,c){var d=c/1440;c=a.AddDays(-d);d=a.AddDays(+d);c=Search(function(e){return-(EarthShadow(e).r-b)},c,a);a=Search(function(e){return+(EarthShadow(e).r-b)},a,d);if(!c||!a)throw"Failed to find shadow semiduration";return 720*(a.ut-c.ut)}function MoonEclipticLatitudeDegrees(a){a=CalcMoon(a);return exports.RAD2DEG*a.geo_eclip_lat}
function Obscuration(a,b,c){if(0>=a)throw"Radius of first disc must be positive.";if(0>=b)throw"Radius of second disc must be positive.";if(0>c)throw"Distance between discs is not allowed to be negative.";if(c>=a+b)return 0;if(0==c)return a<=b?1:b*b/(a*a);var d=(a*a-b*b+c*c)/(2*c),e=a*a-d*d;if(0>=e)return a<=b?1:b*b/(a*a);e=Math.sqrt(e);return(a*a*Math.acos(d/a)-d*e+(b*b*Math.acos((c-d)/b)-(c-d)*e))/(Math.PI*a*a)}
function SolarEclipseObscuration(a,b){var c=new Vector(a.x+b.x,a.y+b.y,a.z+b.z,a.t);a=Math.asin(SUN_RADIUS_AU/c.Length());var d=Math.asin(MOON_POLAR_RADIUS_AU/b.Length());b=AngleBetween(b,c);b=Obscuration(a,d,b*exports.DEG2RAD);return Math.min(.9999,b)}
function SearchLunarEclipse(a){a=MakeTime(a);for(var b=0;12>b;++b){var c=SearchMoonPhase(180,a,40);if(!c)throw"Cannot find full moon.";a=MoonEclipticLatitudeDegrees(c);if(1.8>Math.abs(a)&&(a=PeakEarthShadow(c),a.r<a.p+MOON_MEAN_RADIUS_KM)){b=EclipseKind.Penumbral;var d=c=0,e=0,f=ShadowSemiDurationMinutes(a.time,a.p+MOON_MEAN_RADIUS_KM,200);a.r<a.k+MOON_MEAN_RADIUS_KM&&(b=EclipseKind.Partial,e=ShadowSemiDurationMinutes(a.time,a.k+MOON_MEAN_RADIUS_KM,f),a.r+MOON_MEAN_RADIUS_KM<a.k?(b=EclipseKind.Total,
c=1,d=ShadowSemiDurationMinutes(a.time,a.k-MOON_MEAN_RADIUS_KM,e)):c=Obscuration(MOON_MEAN_RADIUS_KM,a.k,a.r));return new LunarEclipseInfo(b,c,a.time,f,e,d)}a=c.AddDays(10)}throw"Failed to find lunar eclipse within 12 full moons.";}exports.SearchLunarEclipse=SearchLunarEclipse;var GlobalSolarEclipseInfo=function(a,b,c,d,e,f){this.kind=a;this.obscuration=b;this.peak=c;this.distance=d;this.latitude=e;this.longitude=f};exports.GlobalSolarEclipseInfo=GlobalSolarEclipseInfo;
function EclipseKindFromUmbra(a){return.014<a?EclipseKind.Total:EclipseKind.Annular}
function GeoidIntersect(a){var b=EclipseKind.Partial,c=a.time,d=a.r,e=Rotation_EQJ_EQD(a.time),f=RotateVector(e,a.dir),g=RotateVector(e,a.target);f.x*=exports.KM_PER_AU;f.y*=exports.KM_PER_AU;f.z*=exports.KM_PER_AU/EARTH_FLATTENING;g.x*=exports.KM_PER_AU;g.y*=exports.KM_PER_AU;g.z*=exports.KM_PER_AU/EARTH_FLATTENING;var k=EARTH_EQUATORIAL_RADIUS_KM,h=f.x*f.x+f.y*f.y+f.z*f.z,l=-2*(f.x*g.x+f.y*g.y+f.z*g.z);k=l*l-4*h*(g.x*g.x+g.y*g.y+g.z*g.z-k*k);if(0<k){var m=(-l-Math.sqrt(k))/(2*h);b=m*f.x-g.x;h=m*
f.y-g.y;f=(m*f.z-g.z)*EARTH_FLATTENING;m=Math.hypot(b,h)*EARTH_FLATTENING_SQUARED;m=0==m?0<f?90:-90:exports.RAD2DEG*Math.atan(f/m);var n=sidereal_time(c);n=(exports.RAD2DEG*Math.atan2(h,b)-15*n)%360;-180>=n?n+=360:180<n&&(n-=360);e=InverseRotation(e);f=new Vector(b/exports.KM_PER_AU,h/exports.KM_PER_AU,f/exports.KM_PER_AU,a.time);f=RotateVector(e,f);f.x+=a.target.x;f.y+=a.target.y;f.z+=a.target.z;e=CalcShadow(MOON_POLAR_RADIUS_KM,a.time,f,a.dir);if(1E-9<e.r||0>e.r)throw"Unexpected shadow distance from geoid intersection = "+
e.r;b=EclipseKindFromUmbra(e.k);a=b===EclipseKind.Total?1:SolarEclipseObscuration(a.dir,f)}else a=void 0;return new GlobalSolarEclipseInfo(b,a,c,d,m,n)}function NextLunarEclipse(a){a=MakeTime(a);a=a.AddDays(10);return SearchLunarEclipse(a)}exports.NextLunarEclipse=NextLunarEclipse;
function SearchGlobalSolarEclipse(a){var b=a=MakeTime(a);for(a=0;12>a;++a){b=SearchMoonPhase(0,b,40);if(!b)throw"Cannot find new moon";var c=MoonEclipticLatitudeDegrees(b);if(1.8>Math.abs(c)&&(c=PeakMoonShadow(b),c.r<c.p+EARTH_MEAN_RADIUS_KM))return GeoidIntersect(c);b=b.AddDays(10)}throw"Failed to find solar eclipse within 12 full moons.";}exports.SearchGlobalSolarEclipse=SearchGlobalSolarEclipse;
function NextGlobalSolarEclipse(a){a=MakeTime(a);a=a.AddDays(10);return SearchGlobalSolarEclipse(a)}exports.NextGlobalSolarEclipse=NextGlobalSolarEclipse;var EclipseEvent=function(a,b){this.time=a;this.altitude=b};exports.EclipseEvent=EclipseEvent;var LocalSolarEclipseInfo=function(a,b,c,d,e,f,g){this.kind=a;this.obscuration=b;this.partial_begin=c;this.total_begin=d;this.peak=e;this.total_end=f;this.partial_end=g};exports.LocalSolarEclipseInfo=LocalSolarEclipseInfo;
function local_partial_distance(a){return a.p-a.r}function local_total_distance(a){return Math.abs(a.k)-a.r}
function LocalEclipse(a,b){var c=CalcEvent(b,a.time),d=a.time.AddDays(-.2),e=a.time.AddDays(.2),f=LocalEclipseTransition(b,1,local_partial_distance,d,a.time),g=LocalEclipseTransition(b,-1,local_partial_distance,a.time,e);if(a.r<Math.abs(a.k)){d=a.time.AddDays(-.01);e=a.time.AddDays(.01);var k=LocalEclipseTransition(b,1,local_total_distance,d,a.time);var h=LocalEclipseTransition(b,-1,local_total_distance,a.time,e);b=EclipseKindFromUmbra(a.k)}else b=EclipseKind.Partial;a=b===EclipseKind.Total?1:SolarEclipseObscuration(a.dir,
a.target);return new LocalSolarEclipseInfo(b,a,f,k,c,h,g)}function LocalEclipseTransition(a,b,c,d,e){d=Search(function(f){f=LocalMoonShadow(f,a);return b*c(f)},d,e);if(!d)throw"Local eclipse transition search failed.";return CalcEvent(a,d)}function CalcEvent(a,b){a=SunAltitude(b,a);return new EclipseEvent(b,a)}function SunAltitude(a,b){var c=Equator(Body.Sun,a,b,!0,!0);return Horizon(a,b,c.ra,c.dec,"normal").altitude}
function SearchLocalSolarEclipse(a,b){a=MakeTime(a);for(VerifyObserver(b);;){a=SearchMoonPhase(0,a,40);if(!a)throw"Cannot find next new moon";var c=MoonEclipticLatitudeDegrees(a);if(1.8>Math.abs(c)&&(c=PeakLocalMoonShadow(a,b),c.r<c.p&&(c=LocalEclipse(c,b),0<c.partial_begin.altitude||0<c.partial_end.altitude)))return c;a=a.AddDays(10)}}exports.SearchLocalSolarEclipse=SearchLocalSolarEclipse;function NextLocalSolarEclipse(a,b){a=MakeTime(a);a=a.AddDays(10);return SearchLocalSolarEclipse(a,b)}
exports.NextLocalSolarEclipse=NextLocalSolarEclipse;var TransitInfo=function(a,b,c,d){this.start=a;this.peak=b;this.finish=c;this.separation=d};exports.TransitInfo=TransitInfo;function PlanetShadowBoundary(a,b,c,d){a=PlanetShadow(b,c,a);return d*(a.r-a.p)}function PlanetTransitBoundary(a,b,c,d,e){c=Search(function(f){return PlanetShadowBoundary(f,a,b,e)},c,d);if(!c)throw"Planet transit boundary search failed";return c}
function SearchTransit(a,b){b=MakeTime(b);switch(a){case Body.Mercury:var c=2439.7;break;case Body.Venus:c=6051.8;break;default:throw"Invalid body: "+a;}for(;;){var d=SearchRelativeLongitude(a,0,b);if(.4>AngleFromSun(a,d)&&(b=PeakPlanetShadow(a,c,d),b.r<b.p)){d=b.time.AddDays(-1);d=PlanetTransitBoundary(a,c,d,b.time,-1);var e=b.time.AddDays(1);c=PlanetTransitBoundary(a,c,b.time,e,1);a=60*AngleFromSun(a,b.time);return new TransitInfo(d,b.time,c,a)}b=d.AddDays(10)}}exports.SearchTransit=SearchTransit;
function NextTransit(a,b){b=MakeTime(b);b=b.AddDays(100);return SearchTransit(a,b)}exports.NextTransit=NextTransit;var NodeEventKind;(function(a){a[a.Invalid=0]="Invalid";a[a.Ascending=1]="Ascending";a[a.Descending=-1]="Descending"})(NodeEventKind=exports.NodeEventKind||(exports.NodeEventKind={}));var NodeEventInfo=function(a,b){this.kind=a;this.time=b};exports.NodeEventInfo=NodeEventInfo;var MoonNodeStepDays=10;
function SearchMoonNode(a){var b=MakeTime(a),c=EclipticGeoMoon(b);for(a={};;a={$jscomp$loop$prop$kind$33:a.$jscomp$loop$prop$kind$33}){var d=b.AddDays(MoonNodeStepDays),e=EclipticGeoMoon(d);if(0>=c.lat*e.lat){a.$jscomp$loop$prop$kind$33=e.lat>c.lat?NodeEventKind.Ascending:NodeEventKind.Descending;b=Search(function(f){return function(g){return f.$jscomp$loop$prop$kind$33*EclipticGeoMoon(g).lat}}(a),b,d);if(!b)throw"Could not find moon node.";return new NodeEventInfo(a.$jscomp$loop$prop$kind$33,b)}b=
d;c=e}}exports.SearchMoonNode=SearchMoonNode;
function NextMoonNode(a){var b=a.time.AddDays(MoonNodeStepDays);b=SearchMoonNode(b);switch(a.kind){case NodeEventKind.Ascending:if(b.kind!==NodeEventKind.Descending)throw"Internal error: previous node was ascending, but this node was: "+b.kind;break;case NodeEventKind.Descending:if(b.kind!==NodeEventKind.Ascending)throw"Internal error: previous node was descending, but this node was: "+b.kind;break;default:throw"Previous node has an invalid node kind: "+a.kind;}return b}exports.NextMoonNode=NextMoonNode;
var AxisInfo=function(a,b,c,d){this.ra=a;this.dec=b;this.spin=c;this.north=d};exports.AxisInfo=AxisInfo;function EarthRotationAxis(a){var b=nutation([0,0,1],a,PrecessDirection.Into2000);b=precession(b,a,PrecessDirection.Into2000);b=new Vector(b[0],b[1],b[2],a);var c=EquatorFromVector(b);return new AxisInfo(c.ra,c.dec,190.41375788700253+360.9856122880876*a.ut,b)}
function RotationAxis(a,b){b=MakeTime(b);var c=b.tt,d=c/36525;switch(a){case Body.Sun:a=286.13;var e=63.87;c=84.176+14.1844*c;break;case Body.Mercury:a=281.0103-.0328*d;e=61.4155-.0049*d;c=329.5988+6.1385108*c+.01067257*Math.sin(exports.DEG2RAD*(174.7910857+4.092335*c))-.00112309*Math.sin(exports.DEG2RAD*(349.5821714+8.18467*c))-1.104E-4*Math.sin(exports.DEG2RAD*(164.3732571+12.277005*c))-2.539E-5*Math.sin(exports.DEG2RAD*(339.1643429+16.36934*c))-5.71E-6*Math.sin(exports.DEG2RAD*(153.9554286+20.461675*
c));break;case Body.Venus:a=272.76;e=67.16;c=160.2-1.4813688*c;break;case Body.Earth:return EarthRotationAxis(b);case Body.Moon:var f=exports.DEG2RAD*(125.045-.0529921*c),g=exports.DEG2RAD*(250.089-.1059842*c),k=exports.DEG2RAD*(260.008+13.0120009*c),h=exports.DEG2RAD*(176.625+13.3407154*c),l=exports.DEG2RAD*(357.529+.9856003*c),m=exports.DEG2RAD*(311.589+26.4057084*c),n=exports.DEG2RAD*(134.963+13.064993*c),p=exports.DEG2RAD*(276.617+.3287146*c),r=exports.DEG2RAD*(34.226+1.7484877*c),q=exports.DEG2RAD*
(15.134-.1589763*c),t=exports.DEG2RAD*(119.743+.0036096*c),H=exports.DEG2RAD*(239.961+.1643573*c),F=exports.DEG2RAD*(25.053+12.9590088*c);a=269.9949+.0031*d-3.8787*Math.sin(f)-.1204*Math.sin(g)+.07*Math.sin(k)-.0172*Math.sin(h)+.0072*Math.sin(m)-.0052*Math.sin(q)+.0043*Math.sin(F);e=66.5392+.013*d+1.5419*Math.cos(f)+.0239*Math.cos(g)-.0278*Math.cos(k)+.0068*Math.cos(h)-.0029*Math.cos(m)+9E-4*Math.cos(n)+8E-4*Math.cos(q)-9E-4*Math.cos(F);c=38.3213+(13.17635815-1.4E-12*c)*c+3.561*Math.sin(f)+.1208*
Math.sin(g)-.0642*Math.sin(k)+.0158*Math.sin(h)+.0252*Math.sin(l)-.0066*Math.sin(m)-.0047*Math.sin(n)-.0046*Math.sin(p)+.0028*Math.sin(r)+.0052*Math.sin(q)+.004*Math.sin(t)+.0019*Math.sin(H)-.0044*Math.sin(F);break;case Body.Mars:a=317.269202-.10927547*d+6.8E-5*Math.sin(exports.DEG2RAD*(198.991226+19139.4819985*d))+2.38E-4*Math.sin(exports.DEG2RAD*(226.292679+38280.8511281*d))+5.2E-5*Math.sin(exports.DEG2RAD*(249.663391+57420.7251593*d))+9E-6*Math.sin(exports.DEG2RAD*(266.18351+76560.636795*d))+.419057*
Math.sin(exports.DEG2RAD*(79.398797+.5042615*d));e=54.432516-.05827105*d+5.1E-5*Math.cos(exports.DEG2RAD*(122.433576+19139.9407476*d))+1.41E-4*Math.cos(exports.DEG2RAD*(43.058401+38280.8753272*d))+3.1E-5*Math.cos(exports.DEG2RAD*(57.663379+57420.7517205*d))+5E-6*Math.cos(exports.DEG2RAD*(79.476401+76560.6495004*d))+1.591274*Math.cos(exports.DEG2RAD*(166.325722+.5042615*d));c=176.049863+350.891982443297*c+1.45E-4*Math.sin(exports.DEG2RAD*(129.071773+19140.0328244*d))+1.57E-4*Math.sin(exports.DEG2RAD*
(36.352167+38281.0473591*d))+4E-5*Math.sin(exports.DEG2RAD*(56.668646+57420.929536*d))+1E-6*Math.sin(exports.DEG2RAD*(67.364003+76560.2552215*d))+1E-6*Math.sin(exports.DEG2RAD*(104.79268+95700.4387578*d))+.584542*Math.sin(exports.DEG2RAD*(95.391654+.5042615*d));break;case Body.Jupiter:e=exports.DEG2RAD*(99.360714+4850.4046*d);f=exports.DEG2RAD*(175.895369+1191.9605*d);g=exports.DEG2RAD*(300.323162+262.5475*d);k=exports.DEG2RAD*(114.012305+6070.2476*d);h=exports.DEG2RAD*(49.511251+64.3*d);a=268.056595-
.006499*d+1.17E-4*Math.sin(e)+9.38E-4*Math.sin(f)+.001432*Math.sin(g)+3E-5*Math.sin(k)+.00215*Math.sin(h);e=64.495303+.002413*d+5E-5*Math.cos(e)+4.04E-4*Math.cos(f)+6.17E-4*Math.cos(g)-1.3E-5*Math.cos(k)+9.26E-4*Math.cos(h);c=284.95+870.536*c;break;case Body.Saturn:a=40.589-.036*d;e=83.537-.004*d;c=38.9+810.7939024*c;break;case Body.Uranus:a=257.311;e=-15.175;c=203.81-501.1600928*c;break;case Body.Neptune:d=exports.DEG2RAD*(357.85+52.316*d);a=299.36+.7*Math.sin(d);e=43.46-.51*Math.cos(d);c=249.978+
541.1397757*c-.48*Math.sin(d);break;case Body.Pluto:a=132.993;e=-6.163;c=302.695+56.3625225*c;break;default:throw"Invalid body: "+a;}d=e*exports.DEG2RAD;f=a*exports.DEG2RAD;g=Math.cos(d);b=new Vector(g*Math.cos(f),g*Math.sin(f),Math.sin(d),b);return new AxisInfo(a/15,e,c,b)}exports.RotationAxis=RotationAxis;
function LagrangePoint(a,b,c,d){var e=MakeTime(b);b=MassProduct(c);var f=MassProduct(d);c===Body.Earth&&d===Body.Moon?(c=new StateVector(0,0,0,0,0,0,e),d=GeoMoonState(e)):(c=HelioState(c,e),d=HelioState(d,e));return LagrangePointFast(a,c,b,d,f)}exports.LagrangePoint=LagrangePoint;
function LagrangePointFast(a,b,c,d,e){if(1>a||5<a)throw"Invalid lagrange point "+a;if(!Number.isFinite(c)||0>=c)throw"Major mass must be a positive number.";if(!Number.isFinite(e)||0>=e)throw"Minor mass must be a negative number.";var f=d.x-b.x,g=d.y-b.y,k=d.z-b.z,h=f*f+g*g+k*k,l=Math.sqrt(h),m=d.vx-b.vx,n=d.vy-b.vy;d=d.vz-b.vz;if(4===a||5===a){h=g*d-k*n;c=k*m-f*d;var p=f*n-g*m,r=c*k-p*g;p=p*f-h*k;h=h*g-c*f;c=Math.sqrt(r*r+p*p+h*h);r/=c;p/=c;h/=c;f/=l;g/=l;k/=l;a=4==a?.8660254037844386:-.8660254037844386;
c=.5*f+a*r;e=.5*g+a*p;var q=.5*k+a*h,t=m*f+n*g+d*k;m=m*r+n*p+d*h;b=new StateVector(l*c,l*e,l*q,t*c+m*(.5*r-a*f),t*e+m*(.5*p-a*g),t*q+m*(.5*h-a*k),b.t)}else{r=e/(c+e)*-l;p=c/(c+e)*+l;h=(c+e)/(h*l);if(1===a||2===a)q=c/(c+e)*Math.cbrt(e/(3*c)),c=-c,1==a?(q=1-q,a=+e):(q=1+q,a=-e);else if(3===a)q=(7/12*e-c)/(e+c),c=+c,a=+e;else throw"Invalid Langrage point "+a+". Must be an integer 1..5.";e=l*q-r;do q=e-r,t=e-p,q=(h*e+c/(q*q)+a/(t*t))/(h-2*c/(q*q*q)-2*a/(t*t*t)),e-=q;while(1E-14<Math.abs(q/l));q=(e-r)/
l;b=new StateVector(q*f,q*g,q*k,q*m,q*n,q*d,b.t)}return b}exports.LagrangePointFast=LagrangePointFast;
var GravitySimulator=function(a,b,c){b=MakeTime(b);this.originBody=a;for(var d=$jscomp.makeIterator(c),e=d.next();!e.done;e=d.next())if(e.value.t.tt!==b.tt)throw"Inconsistent times in bodyStates";d=[];e=GravitySimulator.CalcSolarSystem(b);this.curr=new GravSimEndpoint(b,e,d);a=this.InternalBodyState(a);c=$jscomp.makeIterator(c);for(e=c.next();!e.done;e=c.next()){var f=e.value;e=new TerseVector(f.x+a.r.x,f.y+a.r.y,f.z+a.r.z);f=new TerseVector(f.vx+a.v.x,f.vy+a.v.y,f.vz+a.v.z);var g=TerseVector.zero();
d.push(new body_grav_calc_t(b.tt,e,f,g))}this.CalcBodyAccelerations();this.prev=this.Duplicate()};
GravitySimulator.prototype.Update=function(a){a=MakeTime(a);var b=a.tt-this.curr.time.tt;if(0===b)this.prev=this.Duplicate();else{this.Swap();this.curr.time=a;this.curr.gravitators=GravitySimulator.CalcSolarSystem(a);for(var c=0;c<this.curr.bodies.length;++c){var d=this.prev.bodies[c];this.curr.bodies[c].r=UpdatePosition(b,d.r,d.v,d.a)}this.CalcBodyAccelerations();for(c=0;c<this.curr.bodies.length;++c){d=this.prev.bodies[c];var e=this.curr.bodies[c],f=d.a.mean(e.a);e.tt=a.tt;e.r=UpdatePosition(b,
d.r,d.v,f);e.v=UpdateVelocity(b,d.v,f)}this.CalcBodyAccelerations()}b=[];c=this.InternalBodyState(this.originBody);d=$jscomp.makeIterator(this.curr.bodies);for(e=d.next();!e.done;e=d.next())e=e.value,b.push(new StateVector(e.r.x-c.r.x,e.r.y-c.r.y,e.r.z-c.r.z,e.v.x-c.v.x,e.v.y-c.v.y,e.v.z-c.v.z,a));return b};GravitySimulator.prototype.Swap=function(){var a=this.curr;this.curr=this.prev;this.prev=a};
GravitySimulator.prototype.SolarSystemBodyState=function(a){a=this.InternalBodyState(a);var b=this.InternalBodyState(this.originBody);return ExportState(a.sub(b),this.curr.time)};GravitySimulator.prototype.InternalBodyState=function(a){if(a===Body.SSB)return new body_state_t(this.curr.time.tt,TerseVector.zero(),TerseVector.zero());var b=this.curr.gravitators[a];if(b)return b;throw"Invalid body: "+a;};
GravitySimulator.CalcSolarSystem=function(a){var b={},c=new body_state_t(a.tt,TerseVector.zero(),TerseVector.zero());b[Body.Mercury]=AdjustBarycenterPosVel(c,a.tt,Body.Mercury,MERCURY_GM);b[Body.Venus]=AdjustBarycenterPosVel(c,a.tt,Body.Venus,VENUS_GM);b[Body.Earth]=AdjustBarycenterPosVel(c,a.tt,Body.Earth,EARTH_GM+MOON_GM);b[Body.Mars]=AdjustBarycenterPosVel(c,a.tt,Body.Mars,MARS_GM);b[Body.Jupiter]=AdjustBarycenterPosVel(c,a.tt,Body.Jupiter,JUPITER_GM);b[Body.Saturn]=AdjustBarycenterPosVel(c,a.tt,
Body.Saturn,SATURN_GM);b[Body.Uranus]=AdjustBarycenterPosVel(c,a.tt,Body.Uranus,URANUS_GM);b[Body.Neptune]=AdjustBarycenterPosVel(c,a.tt,Body.Neptune,NEPTUNE_GM);for(var d in b)b[d].r.decr(c.r),b[d].v.decr(c.v);b[Body.Sun]=new body_state_t(a.tt,c.r.neg(),c.v.neg());return b};
GravitySimulator.prototype.CalcBodyAccelerations=function(){for(var a=$jscomp.makeIterator(this.curr.bodies),b=a.next();!b.done;b=a.next())b=b.value,b.a=TerseVector.zero(),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Sun].r,SUN_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Mercury].r,MERCURY_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Venus].r,VENUS_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Earth].r,
EARTH_GM+MOON_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Mars].r,MARS_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Jupiter].r,JUPITER_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Saturn].r,SATURN_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Uranus].r,URANUS_GM),GravitySimulator.AddAcceleration(b.a,b.r,this.curr.gravitators[Body.Neptune].r,NEPTUNE_GM)};
GravitySimulator.AddAcceleration=function(a,b,c,d){var e=c.x-b.x,f=c.y-b.y;b=c.z-b.z;c=e*e+f*f+b*b;d/=c*Math.sqrt(c);a.x+=e*d;a.y+=f*d;a.z+=b*d};GravitySimulator.prototype.Duplicate=function(){var a={};for(b in this.curr.gravitators)a[b]=this.curr.gravitators[b].clone();var b=[];for(var c=$jscomp.makeIterator(this.curr.bodies),d=c.next();!d.done;d=c.next())b.push(d.value.clone());return new GravSimEndpoint(this.curr.time,a,b)};
$jscomp.global.Object.defineProperties(GravitySimulator.prototype,{OriginBody:{configurable:!0,enumerable:!0,get:function(){return this.originBody}},Time:{configurable:!0,enumerable:!0,get:function(){return this.curr.time}}});exports.GravitySimulator=GravitySimulator;var GravSimEndpoint=function(a,b,c){this.time=a;this.gravitators=b;this.bodies=c};
node_modules/astronomy-engine/esm/astronomy.js
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node_modules/astronomy-engine/package.json
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{
"name": "astronomy-engine",
"version": "2.1.19",
"description": "Astronomy calculation for Sun, Moon, and planets.",
"author": "Donald Cross",
"license": "MIT",
"homepage": "https://github.com/cosinekitty/astronomy#readme",
"repository": {
"type": "git",
"url": "git+https://github.com/cosinekitty/astronomy.git"
},
"bugs": {
"url": "https://github.com/cosinekitty/astronomy/issues"
},
"keywords": [
"astronomy",
"ephemeris",
"planet",
"sun",
"moon",
"solar",
"system",
"sunrise",
"sunset",
"equinox",
"solstice",
"constellation",
"orbit"
],
"scripts": {},
"files": [
"esm/astronomy.js",
"astronomy.d.ts",
"astronomy.js",
"astronomy.min.js",
"astronomy.browser.js",
"astronomy.browser.min.js"
],
"exports": {
".": {
"require": "./astronomy.js",
"import": "./esm/astronomy.js",
"types": "./astronomy.d.ts"
}
},
"main": "./astronomy.js",
"module": "./esm/astronomy.js",
"types": "./astronomy.d.ts",
"sideEffects": false
}
node_modules/geomagnetism/LICENSE
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Apache License
Version 2.0, January 2004
http://www.apache.org/licenses/
TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
1. Definitions.
"License" shall mean the terms and conditions for use, reproduction,
and distribution as defined by Sections 1 through 9 of this document.
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other entities that control, are controlled by, or are under common
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"control" means (i) the power, direct or indirect, to cause the
direction or management of such entity, whether by contract or
otherwise, or (ii) ownership of fifty percent (50%) or more of the
outstanding shares, or (iii) beneficial ownership of such entity.
"You" (or "Your") shall mean an individual or Legal Entity
exercising permissions granted by this License.
"Source" form shall mean the preferred form for making modifications,
including but not limited to software source code, documentation
source, and configuration files.
"Object" form shall mean any form resulting from mechanical
transformation or translation of a Source form, including but
not limited to compiled object code, generated documentation,
and conversions to other media types.
"Work" shall mean the work of authorship, whether in Source or
Object form, made available under the License, as indicated by a
copyright notice that is included in or attached to the work
(an example is provided in the Appendix below).
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5. Submission of Contributions. Unless You explicitly state otherwise,
any Contribution intentionally submitted for inclusion in the Work
by You to the Licensor shall be under the terms and conditions of
this License, without any additional terms or conditions.
Notwithstanding the above, nothing herein shall supersede or modify
the terms of any separate license agreement you may have executed
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6. Trademarks. This License does not grant permission to use the trade
names, trademarks, service marks, or product names of the Licensor,
except as required for reasonable and customary use in describing the
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7. Disclaimer of Warranty. Unless required by applicable law or
agreed to in writing, Licensor provides the Work (and each
Contributor provides its Contributions) on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
implied, including, without limitation, any warranties or conditions
of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
PARTICULAR PURPOSE. You are solely responsible for determining the
appropriateness of using or redistributing the Work and assume any
risks associated with Your exercise of permissions under this License.
8. Limitation of Liability. In no event and under no legal theory,
whether in tort (including negligence), contract, or otherwise,
unless required by applicable law (such as deliberate and grossly
negligent acts) or agreed to in writing, shall any Contributor be
liable to You for damages, including any direct, indirect, special,
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END OF TERMS AND CONDITIONS
node_modules/geomagnetism/Makefile
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.PHONY: test release
_MOCHA=node_modules/.bin/_mocha
test:
npm run test-ci
release: test
ifeq ($(strip $(version)),)
@echo "\033[31mERROR:\033[0;39m No version provided"
@echo "\033[1;30mmake release version=1.0.0\033[0;39m"
else
ifneq ($(shell git diff --stat),)
@echo "Changes must be committed before running a release"
else
npm version $(version)
npm publish
git push origin master
git push origin --tags
endif
endif
node_modules/geomagnetism/README.md
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# geomagnetism
[![NPM version](http://img.shields.io/npm/v/geomagnetism.svg?style=flat)](https://www.npmjs.org/package/geomagnetism)
[![Coverage Status](http://img.shields.io/coveralls/naturalatlas/geomagnetism/master.svg?style=flat)](https://coveralls.io/r/naturalatlas/geomagnetism)
`geomagnetism` provides a convenient interface for retrieving the Earth's magnetic declination (variation between magnetic north and true north) at a given location and date. It leverages NOAA's [World Magnetic Model (WMM)](https://www.ngdc.noaa.gov/geomag/WMM/) to compute properties such as declination, inclination, horizontal intensity, and more.
``` sh
$ npm install geomagnetism --save
```
### Usage
The main entry point is the `model()` function. If you pass it a Date object, it will compute results for that specific date. If you do **not** pass a date, it will default to the current date. Once you have a model, you can query it using the `point()` method, which expects an array representing latitude and longitude. Optionally, you can provide an altitude as a third element in the array.
- Latitude and longitude are required: `[lat, lon]`
- Altitude (optional) can be provided: `[lat, lon, altitude_in_kilometers]`
**Example: Current Date**
```js
const geomagnetism = require('geomagnetism');
// If no date is passed, the current date is used
const currentModel = geomagnetism.model();
const info = currentModel.point([44.53461, -109.05572]); // only lat/lon
console.log('Declination (current date):', info.decl, 'degrees');
```
**Example: Specific Date**
```js
const geomagnetism = require('geomagnetism');
// If a date is passed, that specific date is used
const specificDateModel = geomagnetism.model(new Date('2020-10-05'));
const info = specificDateModel.point([44.53461, -109.05572]);
console.log('Declination on 2020-10-05:', info.decl, 'degrees');
```
**Example: Including Altitude**
```js
const geomagnetism = require('geomagnetism');
// Provide altitude as the third array item (in kilometers above mean sea level)
const model = geomagnetism.model(new Date('2022-01-01'));
const infoWithAltitude = model.point([44.53461, -109.05572, 1.5]);
console.log('Declination at altitude:', infoWithAltitude.decl, 'degrees');
```
## Handling Out-of-Range Dates
The `geomagnetism.model()` function determines the best available World Magnetic Model for the date you provide. If the given date falls outside the known range of the WMM data files, by default (`allowOutOfBoundsModel = false`), the function will throw an error indicating that no suitable model is found for the given date.
If you would prefer that the library "fall back" to the closest available model rather than throwing an error, you can explicitly pass true to allowOutOfBoundsModel option.
```js
geomagnetism.model(date, { allowOutOfBoundsModel: true });
```
- `date`: *(optional)* A JavaScript Date object. Defaults to the current date if not specified.
- `allowOutOfBoundsModel`: *(optional)* A boolean. If not specified or false, throws an error if the date is out of range. If true, falls back to the nearest available model.
**Examples:**
```js
const geomagnetism = require('geomagnetism');
// Strict behavior (default): If the date is out of range, an error is thrown
try {
let model = geomagnetism.model(new Date('1900-01-01')); // allowOutOfBoundsModel defaults to false
let info = model.point([44.53461, -109.05572]);
} catch (err) {
console.error('Error (strict mode):', err.message);
}
// Fallback behavior: If the date is out of range, it uses the closest model
let fallbackModel = geomagnetism.model(new Date('1900-01-01'), { allowOutOfBoundsModel: true });
let fallbackInfo = fallbackModel.point([44.53461, -109.05572]);
console.log('Declination using fallback model:', fallbackInfo.decl);
```
## Available Data & Models
`geomagnetism` ships with multiple versions of the WMM data, each valid for a certain time range. The library automatically picks the correct model based on the date you supply. Older models are included to gracefully handle historical dates when using the fallback behavior.
## License
Copyright &copy; 2015–2024 [Natural Atlas, Inc.](https://naturalatlas.com/) & [Contributors](https://github.com/naturalatlas/geomagnetism/graphs/contributors)
Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at: http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.
node_modules/geomagnetism/bin/convert.js
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var fs = require('fs');
var path = require('path');
/**
* Converts a coefficients file to a .json file that can be used to initialize a base model
*
* ex: node bin/convert WMM.COF wmm.json
*/
function exit(err){
console.log("Error: "+err);
process.exit(1);
}
var input_filename = process.argv[2];
var output_filename = process.argv[3];
if(!input_filename) exit("Input filename must be provided.");
if(!output_filename) exit("Output filename must be provided.");
// get parser by input file extension
var ext = path.extname(input_filename).toLowerCase().substr(1);
var parser;
try {
parser = require('../lib/parsers/'+ext);
} catch (err) {
exit("Unable to find parser for ."+ext+" file.");
}
var data = fs.readFileSync(input_filename, {encoding: 'utf8'});
var obj = parser(data);
var json = JSON.stringify(obj, null, 2);
fs.writeFileSync(output_filename, json);
console.log(output_filename + " successfully created");
node_modules/geomagnetism/data/wmm-2015.json
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{
"main_field_coeff_g": [
0,
-29438.5,
-1501.1,
-2445.3,
3012.5,
1676.6,
1351.1,
-2352.3,
1225.6,
581.9,
907.2,
813.7,
120.3,
-335,
70.3,
-232.6,
360.1,
192.4,
-141,
-157.4,
4.3,
69.5,
67.4,
72.8,
-129.8,
-29,
13.2,
-70.9,
81.6,
-76.1,
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51.9,
15,
9.3,
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6.7,
24,
8.6,
-16.9,
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-20.6,
13.3,
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-16,
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5.4,
8.8,
3.1,
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0.6,
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-0.1,
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-10.5,
-1.9,
-6.5,
0.2,
0.6,
-0.6,
1.7,
-0.7,
2.1,
2.3,
-1.8,
-3.6,
3.1,
-1.5,
-2.3,
2.1,
-0.9,
0.6,
-0.7,
0.2,
1.7,
-0.2,
0.4,
3.5,
-2,
-0.3,
0.4,
1.3,
-0.9,
0.9,
0.1,
0.5,
-0.4,
-0.4,
0.2,
-0.9,
0
],
"main_field_coeff_h": [
0,
0,
4796.2,
0,
-2845.6,
-642,
0,
-115.3,
245,
-538.3,
0,
283.4,
-188.6,
180.9,
-329.5,
0,
47.4,
196.9,
-119.4,
16.1,
100.1,
0,
-20.7,
33.2,
58.8,
-66.5,
7.3,
62.5,
0,
-54.1,
-19.4,
5.6,
24.4,
3.3,
-27.5,
-2.3,
0,
10.2,
-18.1,
13.2,
-14.6,
16.2,
5.7,
-9.1,
2.2,
0,
-21.6,
10.8,
11.7,
-6.8,
-6.9,
7.8,
1,
-3.9,
8.5,
0,
3.3,
-0.3,
4.6,
4.4,
-7.9,
-0.6,
-4.1,
-2.8,
-1.1,
-8.7,
0,
-0.1,
2.1,
-0.7,
-1.1,
0.7,
-0.2,
-2.1,
-1.5,
-2.5,
-2,
-2.3,
0,
-1,
0.5,
1.8,
-2.2,
0.3,
0.7,
-0.1,
0.3,
0.2,
-0.9,
-0.2,
0.7
],
"secular_var_coeff_g": [
0,
10.7,
17.9,
-8.6,
-3.3,
2.4,
3.1,
-6.2,
-0.4,
-10.4,
-0.4,
0.8,
-9.2,
4,
-4.2,
-0.2,
0.1,
-1.4,
0,
1.3,
3.8,
-0.5,
-0.2,
-0.6,
2.4,
-1.1,
0.3,
1.5,
0.2,
-0.2,
-0.4,
1.3,
0.2,
-0.4,
-0.9,
0.3,
0,
0.1,
-0.5,
0.5,
-0.2,
0.4,
0.2,
-0.4,
0.3,
0,
-0.1,
-0.1,
0.4,
-0.5,
-0.2,
0.1,
0,
-0.2,
-0.1,
0,
0,
-0.1,
0.3,
-0.1,
-0.1,
-0.1,
0,
-0.2,
-0.1,
-0.2,
0,
0,
-0.1,
0.1,
0,
0,
0,
0,
0,
0,
-0.1,
-0.1,
0.1,
0,
0,
0.1,
-0.1,
0,
0.1,
0,
0,
0,
0,
0,
0
],
"secular_var_coeff_h": [
0,
0,
-26.8,
0,
-27.1,
-13.3,
0,
8.4,
-0.4,
2.3,
0,
-0.6,
5.3,
3,
-5.3,
0,
0.4,
1.6,
-1.1,
3.3,
0.1,
0,
0,
-2.2,
-0.7,
0.1,
1,
1.3,
0,
0.7,
0.5,
-0.2,
-0.1,
-0.7,
0.1,
0.1,
0,
-0.3,
0.3,
0.3,
0.6,
-0.1,
-0.2,
0.3,
0,
0,
-0.2,
-0.1,
-0.2,
0.1,
0.1,
0,
-0.2,
0.4,
0.3,
0,
0.1,
-0.1,
0,
0,
-0.2,
0.1,
-0.1,
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0.1,
-0.1,
0,
0,
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0,
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0,
0,
0.1,
0,
-0.1,
0,
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0,
0,
0,
-0.1,
0,
0,
0,
0,
0,
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],
"n_max": 12,
"n_max_sec_var": 12,
"epoch": 2015,
"name": "WMM-2015",
"start_date": "2014-12-15T07:00:00.000Z",
"end_date": "2019-12-15T07:00:00.000Z"
}
node_modules/geomagnetism/data/wmm-2015v2.json
Generated Vendored
+380
View File
@@ -0,0 +1,380 @@
{
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],
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0.6,
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],
"n_max": 12,
"n_max_sec_var": 12,
"epoch": 2015,
"name": "WMM-2015v2",
"start_date": "2018-09-18T06:00:00.000Z",
"end_date": "2023-09-18T06:00:00.000Z"
}
node_modules/geomagnetism/data/wmm-2020.json
Generated Vendored
+380
View File
@@ -0,0 +1,380 @@
{
"main_field_coeff_g": [
0,
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-2500,
2982,
1676.8,
1363.9,
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86.2,
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0.7,
0.3,
0.5,
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0.1,
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],
"main_field_coeff_h": [
0,
0,
4652.9,
0,
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241.8,
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282,
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208.4,
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25,
52.7,
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68.1,
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],
"secular_var_coeff_g": [
0,
6.7,
7.7,
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],
"secular_var_coeff_h": [
0,
0,
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0,
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0,
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6.9,
3.7,
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0,
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1,
0,
0.5,
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0.3,
0,
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0.7,
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0.5,
-0.3,
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0.4,
0.1,
0,
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0.2,
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0.1,
0,
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0.2,
0,
0,
0.1,
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0,
0,
0,
0.1,
0,
0,
0,
-0.1
],
"n_max": 12,
"n_max_sec_var": 12,
"epoch": 2020,
"name": "WMM-2020",
"start_date": "2019-12-10T08:00:00.000Z",
"end_date": "2024-12-10T08:00:00.000Z"
}
node_modules/geomagnetism/data/wmm-2025.json
Generated Vendored
+380
View File
@@ -0,0 +1,380 @@
{
"main_field_coeff_g": [
0,
-29351.8,
-1410.8,
-2556.6,
2951.1,
1649.3,
1361,
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1243.8,
453.6,
895,
799.5,
55.7,
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12.1,
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368.9,
187.2,
-138.7,
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20.9,
64.4,
63.8,
76.9,
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14.9,
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79.5,
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59.3,
15.8,
2.5,
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14.2,
23.2,
10.8,
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2,
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16.9,
15,
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0.9,
4.6,
7.8,
3,
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2.4,
8.6,
-8.7,
-12.9,
-1.3,
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0.2,
2,
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1.5,
0.9,
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2.9,
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2.4,
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0.6,
0.5,
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],
"main_field_coeff_h": [
0,
0,
4545.4,
0,
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0,
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237.5,
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278.6,
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212,
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0,
45.4,
220.2,
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43,
106.1,
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10,
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3.3,
0,
2.4,
5.3,
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0.4,
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0.9,
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0,
0,
2.9,
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0.5,
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1,
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0,
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],
"secular_var_coeff_g": [
0,
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0,
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],
"secular_var_coeff_h": [
0,
0,
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0,
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0,
4,
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0,
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1.9,
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0.7,
0.9,
0,
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0,
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0.6,
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0,
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0.5,
-0.4,
0.4,
-0.5,
-0.6,
0.3,
0.2,
0,
-0.3,
0.3,
-0.3,
0.3,
0.2,
-0.1,
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0.4,
0.1,
0,
0,
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0.1,
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0.1,
0,
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0.2,
0,
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0.1,
0,
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0,
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0,
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0,
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],
"n_max": 12,
"n_max_sec_var": 12,
"epoch": 2025,
"name": "WMM-2025",
"start_date": "2024-11-13T03:00:00.000Z",
"end_date": "2029-11-13T03:00:00.000Z"
}
node_modules/geomagnetism/geomagnetism.d.ts
Generated Vendored
+30
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@@ -0,0 +1,30 @@
declare module "geomagnetism" {
export interface GeomagnetismPoint {
x: number;
y: number;
z: number;
h: number;
f: number;
incl: number;
decl: number;
}
export interface GeomagnetismModel {
epoch: number;
start_date: Date;
end_date: Date;
name: string;
main_field_coeff_g: number[];
secular_var_coeff_h: number[];
n_max: number;
n_max_sec_var: number;
num_terms: number;
point(geoPoint: number[]): GeomagnetismPoint;
}
export interface GeomagnetismOptions {
allowOutOfBoundsModel: boolean;
}
export function model(date?: Date, options?: GeomagnetismOptions): GeomagnetismModel;
}
node_modules/geomagnetism/index.js
Generated Vendored
+54
View File
@@ -0,0 +1,54 @@
const Model = require('./lib/model.js');
const geomagnetism = module.exports = {};
const modelData = [
{
file: require('./data/wmm-2025.json'),
startDate: new Date("2024-11-13T03:00:00.000Z"),
endDate: new Date("2029-11-13T03:00:00.000Z")
},
{
file: require('./data/wmm-2020.json'),
startDate: new Date("2019-12-10T08:00:00.000Z"),
endDate: new Date("2024-12-10T08:00:00.000Z")
},
{
file: require('./data/wmm-2015v2.json'),
startDate: new Date("2018-09-18T06:00:00.000Z"),
endDate: new Date("2023-09-18T06:00:00.000Z")
},
{
file: require('./data/wmm-2015.json'),
startDate: new Date("2014-12-15T07:00:00.000Z"),
endDate: new Date("2019-12-15T07:00:00.000Z")
}
];
geomagnetism.model = function (date, options = {}) {
date = date || new Date();
const ts = date.getTime();
const allowOutOfBoundsModel = (options && options.allowOutOfBoundsModel) || false;
// Get the latest matching model
let matchingModelData = modelData.find((model) => {
return ts >= model.startDate.getTime() && ts <= model.endDate.getTime();
});
// Get if the date is before the first model or after the last model
if (!matchingModelData && ts < modelData[modelData.length - 1].startDate.getTime()) {
matchingModelData = modelData[modelData.length - 1];
} else if (!matchingModelData && ts > modelData[0].endDate.getTime()) {
matchingModelData = modelData[0];
}
// If no matching model found, use the latest
if (!matchingModelData) {
matchingModelData = modelData[0]; // latest (will throw error if allowOutOfBoundsModel is true)
}
const matchingModel = new Model(matchingModelData.file);
return matchingModel.getTimedModel(date, allowOutOfBoundsModel);
};
node_modules/geomagnetism/lib/coords/cartesian.js
Generated Vendored
+46
View File
@@ -0,0 +1,46 @@
var GeodeticCoord = require('./geodetic.js');
module.exports = CartesianCoord;
function CartesianCoord(options){
this.x = options.x;
this.y = options.y;
this.z = options.z;
}
CartesianCoord.prototype.toGeodetic = function(ellipsoid){
var modified_b = this.z < 0 ? -ellipsoid.b : ellipsoid.b;
var x = this.x;
var y = this.y;
var z = this.z;
var r = Math.sqr(x*x + y*y);
var e = (modified_b*z - (ellipsoid.a*ellipsoid.a - modified_b*modified_b)) / (ellipsoid.a*r);
var f = (modified_b*z + (ellipsoid.a*ellipsoid.a - modified_b*modified_b)) / (ellipsoid.a*r);
var p = (4/3) * (e*f+1);
var q = 2 * (e*e + f*f);
var d = p*p*p + q*q;
var v;
if(d > 0) {
v = Math.pow(Math.sqrt(d) - q, 1/3) - Math.pow(Math.sqrt(d) + q, 1/3);
} else {
v = 2 * Math.sqrt(-p) * Math.cos(Math.acos(q / (p * Math.sqrt(-p)) ) / 3);
}
if(v*v < Math.abs(p)) {
v = -(v*v*v + 2*q) / 3*p;
}
var g = (Math.sqrt(e*e + v) + e) / 2;
var t = Math.sqrt(g*g + (f - v*g)/(2*g - e)) - g;
var rlat = Math.atan( (ellipsoid.a*(1 - t*t)) / (2*modified_b*t) );
var zlong = Math.atan2(y, x);
if(zlong < 0) zlong += 2*Math.PI;
var height_above_ellipsoid = (r - ellipsoid.a*t) * Math.cos(rlat) + (z - modified_b) * Math.sin(rlat);
var lambda = zlong * Math.PI/180;
if(lambda > 180) lambda -= 360;
return new GeodeticCoord({
lambda: lambda,
phi: rlat * Math.PI/180,
height_above_ellipsoid: height_above_ellipsoid,
ellipsoid: ellipsoid
});
};
node_modules/geomagnetism/lib/coords/geodetic.js
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var SphericalCoord = require('./spherical.js');
var Ellipsoid = require('../ellipsoid.js');
module.exports = GeodeticCoord;
function GeodeticCoord(options){
this.options = options;
this.lambda = options.lambda || options.lon; // longitude
this.phi = options.phi || options.lat; // geodetic latitude
this.height_above_ellipsoid = options.height_above_ellipsoid || 0;
this.ellipsoid = options.ellipsoid || new Ellipsoid();
}
GeodeticCoord.prototype.toSpherical = function() {
var ellipsoid = this.ellipsoid;
var coslat = Math.cos(this.phi*Math.PI/180);
var sinlat = Math.sin(this.phi*Math.PI/180);
var rc = ellipsoid.a / Math.sqrt(1 - ellipsoid.epssq * sinlat * sinlat);
var xp = (rc + this.height_above_ellipsoid) * coslat;
var zp = (rc * (1 - ellipsoid.epssq) + this.height_above_ellipsoid) * sinlat;
var r = Math.sqrt(xp*xp + zp*zp);
return new SphericalCoord({
r: r,
phig: 180/Math.PI*Math.asin(zp / r),
lambda: this.lambda
});
};
GeodeticCoord.prototype.clone = function(){
return new GeodeticCoord(this.options);
};
node_modules/geomagnetism/lib/coords/index.js
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module.exports = {
Cartesian: require('./cartesian.js'),
Spherical: require('./spherical.js'),
Geodetic: require('./geodetic.js')
};
node_modules/geomagnetism/lib/coords/spherical.js
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var CartesianCoord = require('./cartesian.js');
var LegendreFunction = require('../legendre.js');
module.exports = SphericalCoord;
function SphericalCoord(options){
this.lambda = options.lambda; // longitude
this.phig = options.phig; // geocentric latitude
this.r = options.r; // distance from center of ellipsoid
}
SphericalCoord.prototype.toCartesian = function(){
var radphi = this.phig * Math.PI/180;
var radlambda = this.lambda * Math.PI/180;
return new CartesianCoord({
x: this.r * cos(radphi) * cos(radlambda),
y: this.r * cos(radphi) * sin(radlambda),
z: this.r * sin(radphi)
});
};
SphericalCoord.prototype.toGeodetic = function(ellipsoid){
return this.toCartesian().toGeodetic(ellipsoid);
};
SphericalCoord.prototype.getHarmonicVariables = function(ellipsoid, n_max){
var m, n;
var cos_lambda = Math.cos(Math.PI/180 * this.lambda);
var sin_lambda = Math.sin(Math.PI/180 * this.lambda);
var cos_mlambda = [1.0, cos_lambda];
var sin_mlambda = [0.0, sin_lambda];
var relative_radius_power = [
(ellipsoid.re/this.r) * (ellipsoid.re/this.r)
];
for(n = 1; n <= n_max; n++){
relative_radius_power[n] = relative_radius_power[n-1] * (ellipsoid.re/this.r);
}
for(m = 2; m <= n_max; m++){
cos_mlambda[m] = cos_mlambda[m-1]*cos_lambda - sin_mlambda[m-1]*sin_lambda;
sin_mlambda[m] = cos_mlambda[m-1]*sin_lambda + sin_mlambda[m-1]*cos_lambda;
}
return {
relative_radius_power: relative_radius_power,
cos_mlambda: cos_mlambda,
sin_mlambda: sin_mlambda
};
};
SphericalCoord.prototype.getLegendreFunction = function(n_max) {
return new LegendreFunction(this, n_max);
};
node_modules/geomagnetism/lib/ellipsoid.js
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module.exports = Ellipsoid;
function Ellipsoid(options) {
options = options || {
a: 6378.137,
b: 6356.7523142,
fla: 1 / 298.257223563,
re: 6371.2
};
this.a = options.a; // semi-major axis
this.b = options.b; // semi-minor axis
this.fla = options.fla; // flattening
this.re = options.re; // mean radius
this.eps = Math.sqrt(1-(this.b*this.b)/(this.a*this.a)); // first eccentricity
this.epssq = this.eps*this.eps; // first eccentricity squared
}
node_modules/geomagnetism/lib/legendre.js
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module.exports = LegendreFunction;
function LegendreFunction(coord_spherical, n_max){
var sin_phi = Math.sin(Math.PI/180 * coord_spherical.phig);
var result;
if(n_max <= 16 || (1 - Math.abs(sin_phi)) < 1e-10){
result = PcupLow(sin_phi, n_max);
} else {
result = PcupHigh(sin_phi, n_max);
}
this.pcup = result.pcup;
this.dpcup = result.dpcup;
}
function PcupLow(x, n_max){
var k, z, n, m, i, i1, i2, num_terms;
var schmidt_quasi_norm = [1.0];
var pcup = [1.0];
var dpcup = [0.0];
z = Math.sqrt((1-x)*(1+x));
num_terms = (n_max+1) * (n_max+2) / 2;
for(n = 1; n <= n_max; n++) {
for(m = 0; m <= n; m++) {
i = n*(n+1)/2 + m;
if(n == m){
i1 = (n-1)*n/2 + m - 1;
pcup[i] = z*pcup[i1];
dpcup[i] = z*dpcup[i1] + x*pcup[i1];
} else if (n == 1 && m == 0) {
i1 = (n-1)*n/2 + m;
pcup[i] = x*pcup[i1];
dpcup[i] = x*dpcup[i1] - z*pcup[i1];
} else if (n > 1 && n != m) {
i1 = (n-2)*(n-1)/2 + m;
i2 = (n-1)*n/2 + m;
if(m > n - 2){
pcup[i] = x*pcup[i2];
dpcup[i] = x*dpcup[i2] - z*pcup[i2];
} else {
k = ((n-1)*(n-1) - m*m) / ((2*n-1)*(2*n-3));
pcup[i] = x*pcup[i2] - k*pcup[i1];
dpcup[i] = x*dpcup[i2] - z*pcup[i2] - k*dpcup[i1];
}
}
}
}
for(n = 1; n <= n_max; n++) {
i = n*(n+1)/2;
i1 = (n-1)*n/2;
schmidt_quasi_norm[i] = schmidt_quasi_norm[i1] * (2*n-1) / n;
for(m = 1; m <= n; m++){
i = n*(n+1)/2 + m;
i1 = n*(n+1)/2 + m - 1;
schmidt_quasi_norm[i] = schmidt_quasi_norm[i1] * Math.sqrt(((n - m + 1) * (m == 1 ? 2 : 1)) / (n + m));
}
}
for(n = 1; n <= n_max; n++) {
for(m = 0; m <= n; m++) {
i = n*(n+1)/2+m;
pcup[i] *= schmidt_quasi_norm[i];
dpcup[i] *= -schmidt_quasi_norm[i];
}
}
return {
pcup: pcup,
dpcup: dpcup
};
}
function PcupHigh(x, n_max){
if(Math.abs(x) == 1.0){
throw new Error("Error in PcupHigh: derivative cannot be calculated at poles");
}
var n, m, k;
var num_terms = (n_max + 1) * (n_max + 2)/2;
var f1 = [];
var f2 = [];
var pre_sqr = [];
var scalef = 1.0e-280;
for(n = 0; n <= 2*n_max + 1; ++n){
pre_sqr[n] = Math.sqrt(n);
}
k = 2;
for(n = 0; n <= n_max; n++){
k++;
f1[k] = (2*n - 1) / n;
f2[k] = (n - 1) / n;
for(m = 1; m <= n - 2; m++){
k++;
f1[k] = (2*n - 1) / pre_sqr[n+m] / pre_sqr[n-m];
f2[k] = pre_sqr[n-m-1] * pre_sqr[n+m-1] / pre_sqr[n+m] / pre_sqr[n-m];
}
k += 2;
}
var z = Math.sqrt((1-x)*(1+x));
var plm;
var pm1 = x;
var pm2 = 1;
var pcup = [1.0, pm1];
var dpcup = [0.0, z];
if(n_max == 0){
throw new Error("Error in PcupHigh: n_max must be greater than 0");
}
k = 1;
for(n = 2; n <= n_max; n++)
{
k = k + n;
plm = f1[k] * x * pm1 - f2[k] * pm2;
pcup[k] = plm;
dpcup[k] = n * (pm1 - x * plm) / z;
pm2 = pm1;
pm1 = plm;
}
var pmm = pre_sqr[2] * scalef;
var rescalem = 1/scalef;
var kstart = 0;
for(var m = 1; m <= n_max - 1; ++m){
rescalem *= z;
//calculate pcup(m,m)
kstart = kstart + m + 1;
pmm = pmm * pre_sqr[2*m+1] / pre_sqr[2*m];
pcup[kstart] = pmm * rescalem / pre_sqr[2*m+1];
dpcup[kstart] = -( m*x*pcup[kstart] /z );
pm2 = pmm / pre_sqr[2*m + 1];
//calculate pcup(m+1,m)
k = kstart + m + 1;
pm1 = x * pre_sqr[2*m+1] * pm2;
pcup[k] = pm1*rescalem;
dpcup[k] = (pm2*rescalem *pre_sqr[2*m+1] - x*(m+1)*pcup[k]) / z;
//calculate pcup(n,m)
for(n = m + 2; n <= n_max; ++n){
k = k + n;
plm = x*f1[k]*pm1 - f2[k]*pm2;
pcup[k] = plm*rescalem;
dpcup[k] = (pre_sqr[n+m]*pre_sqr[n-m]*pm1*rescalem - n*x*pcup[k]) / z;
pm2 = pm1;
pm1 = plm;
}
}
//calculate pcup(n_max,n_max)
rescalem = rescalem*z;
kstart = kstart + m + 1;
pmm = pmm / pre_sqr[2*n_max];
pcup[kstart] = pmm * rescalem;
dpcup[kstart] = -n_max * x * pcup[kstart] / z;
return {
pcup: pcup,
dpcup: dpcup
};
}
node_modules/geomagnetism/lib/magnetic_elements.js
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module.exports = MagneticElements;
function MagneticElements(options){
this.x = options.x;
this.y = options.y;
this.z = options.z;
this.h = options.h;
this.f = options.f;
this.incl = options.incl;
this.decl = options.decl;
this.gv = options.gv;
this.xdot = options.xdot;
this.ydot = options.ydot;
this.zdot = options.zdot;
this.hdot = options.hdot;
this.fdot = options.fdot;
this.incldot = options.incldot;
this.decldot = options.decldot;
this.gvdot = options.gvdot;
}
MagneticElements.prototype.clone = function(){
return new MagneticElements(this);
};
MagneticElements.prototype.scale = function(factor){
return new MagneticElements({
x : this.x * factor,
y : this.y * factor,
z : this.z * factor,
h : this.h * factor,
f : this.f * factor,
incl : this.incl * factor,
decl : this.decl * factor,
gv : this.gv * factor,
xdot : this.xdot * factor,
ydot : this.ydot * factor,
zdot : this.zdot * factor,
hdot : this.hdot * factor,
fdot : this.fdot * factor,
incldot : this.incldot * factor,
decldot : this.decldot * factor,
gvdot : this.gvdot * factor
});
};
MagneticElements.prototype.subtract = function(subtrahend){
return new MagneticElements({
x : this.x - subtrahend.x,
y : this.y - subtrahend.y,
z : this.z - subtrahend.z,
h : this.h - subtrahend.h,
f : this.f - subtrahend.f,
incl : this.incl - subtrahend.incl,
decl : this.decl - subtrahend.decl,
gv : this.gv - subtrahend.gv,
xdot : this.xdot - subtrahend.xdot,
ydot : this.ydot - subtrahend.ydot,
zdot : this.zdot - subtrahend.zdot,
hdot : this.hdot - subtrahend.hdot,
fdot : this.fdot - subtrahend.fdot,
incldot : this.incldot - subtrahend.incldot,
decldot : this.decldot - subtrahend.decldot,
gvdot : this.gvdot - subtrahend.gvdot
});
};
MagneticElements.fromGeoMagneticVector = function(magnetic_vector){
var bx = magnetic_vector.bx;
var by = magnetic_vector.by;
var bz = magnetic_vector.bz;
var h = Math.sqrt(bx*bx + by*by);
return new MagneticElements({
x: bx,
y: by,
z: bz,
h: h,
f: Math.sqrt(h*h + bz*bz),
decl: 180/Math.PI * Math.atan2(by, bx),
incl: 180/Math.PI * Math.atan2(bz, h)
});
};
MagneticElements.fromSecularVariationVector = function(magnetic_variation){
var bx = magnetic_variation.bx;
var by = magnetic_variation.by;
var bz = magnetic_variation.bz;
return new MagneticElements({
xdot: bx,
ydot: by,
zdot: bz,
hdot: (this.x*bx + this.y*by) / this.h,
fdot: (this.x*bx + this.y*by + this.z*bz) / this.f,
decldot: 180/Math.PI * (this.x*this.ydot - this.y*this.xdot) / (this.h*this.h),
incldot: 180/Math.PI * (this.h*this.zdot - this.z*this.hdot) / (this.f*this.f),
gvdot: this.decldot
});
};
node_modules/geomagnetism/lib/magnetic_vector.js
Generated Vendored
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module.exports = MagneticVector;
function MagneticVector(options){
this.bx = options.bx;
this.by = options.by;
this.bz = options.bz;
}
MagneticVector.prototype.rotate = function(coord_spherical, coord_geodetic) {
var psi = Math.PI/180 * (coord_spherical.phig - coord_geodetic.phi);
return new MagneticVector({
bz: this.bx*Math.sin(psi) + this.bz*Math.cos(psi),
bx: this.bx*Math.cos(psi) - this.bz*Math.sin(psi),
by: this.by
});
};
node_modules/geomagnetism/lib/model.js
Generated Vendored
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var GeodeticCoord = require('./coords/geodetic.js');
var MagneticElements = require('./magnetic_elements.js');
var MagneticVector = require('./magnetic_vector.js');
module.exports = Model;
function Model(options){
this.epoch = options.epoch;
this.start_date = new Date(options.start_date);
this.end_date = new Date(options.end_date);
this.name = options.name || "";
this.main_field_coeff_g = options.main_field_coeff_g || [0];
this.main_field_coeff_h = options.main_field_coeff_h || [0];
this.secular_var_coeff_g = options.secular_var_coeff_g || [0];
this.secular_var_coeff_h = options.secular_var_coeff_h || [0];
this.n_max = options.n_max || 0;
this.n_max_sec_var = options.n_max_sec_var || 0;
this.num_terms = this.n_max*(this.n_max+1)/2 + this.n_max;
}
Model.prototype.getTimedModel = function(date, allowOutOfBoundsModel = false){
var year_int = date.getUTCFullYear();
var fractional_year = (date.valueOf() - Date.UTC(year_int)) / (1000*3600*24*365);
var year = year_int + fractional_year;
var dyear = year - this.epoch;
if(date < this.start_date || date > this.end_date){
if(allowOutOfBoundsModel) {
console.error("Model is only valid from "+this.start_date.toDateString()+" to "+this.end_date.toDateString());
} else {
throw new Error("Model is only valid from "+this.start_date.toDateString()+" to "+this.end_date.toDateString());
}
}
var model = new Model({
epoch: this.epoch,
n_max: this.n_max,
n_max_sec_var: this.n_max_sec_var,
name: this.name,
start_date: this.start_date,
end_date: this.end_date,
});
var a = model.n_max_sec_var;
var b = a*(a + 1)/2 + a;
for(var n = 1; n <= this.n_max; n++){
for(var m = 0; m <= n; m++){
var i = n * (n + 1)/2 + m;
var hnm = this.main_field_coeff_h[i];
var gnm = this.main_field_coeff_g[i];
var dhnm = this.secular_var_coeff_h[i];
var dgnm = this.secular_var_coeff_g[i];
if(i <= b){
model.main_field_coeff_h[i] = hnm + dyear*dhnm;
model.main_field_coeff_g[i] = gnm + dyear*dgnm;
model.secular_var_coeff_h[i] = dhnm;
model.secular_var_coeff_g[i] = dgnm;
} else {
model.main_field_coeff_h[i] = hnm;
model.main_field_coeff_g[i] = gnm;
}
}
}
return model;
};
Model.prototype.getSummation = function(legendre, sph_variables, coord_spherical){
var bx = 0;
var by = 0;
var bz = 0;
var n, m, i, k;
var relative_radius_power = sph_variables.relative_radius_power;
var cos_mlambda = sph_variables.cos_mlambda;
var sin_mlambda = sph_variables.sin_mlambda;
var g = this.main_field_coeff_g;
var h = this.main_field_coeff_h;
for(n = 1; n <= this.n_max; n++){
for(m = 0; m <= n; m++){
i = n*(n+1)/2 + m;
bz -= relative_radius_power[n] *
(g[i]*cos_mlambda[m] + h[i]*sin_mlambda[m]) *
(n+1) * legendre.pcup[i];
by += relative_radius_power[n] *
(g[i]*sin_mlambda[m] - h[i]*cos_mlambda[m]) *
(m) * legendre.pcup[i];
bx -= relative_radius_power[n] *
(g[i]*cos_mlambda[m] + h[i]*sin_mlambda[m]) *
legendre.dpcup[i];
}
}
var cos_phi = Math.cos(Math.PI/180 * coord_spherical.phig);
if(Math.abs(cos_phi) > 1e-10){
by = by / cos_phi;
} else {
//special calculation around poles
by = 0;
var schmidt_quasi_norm1 = 1.0, schmidt_quasi_norm2, schmidt_quasi_norm3;
var pcup_s = [1];
var sin_phi = Math.sin(Math.PI/180 * coord_spherical.phig);
for(n = 1; n <= this.n_max; n++){
i = n*(n+1)/2 + 1;
schmidt_quasi_norm2 = schmidt_quasi_norm1 * (2*n-1) / n;
schmidt_quasi_norm3 = schmidt_quasi_norm2 * Math.sqrt(2*n/(n+1));
schmidt_quasi_norm1 = schmidt_quasi_norm2;
if(n == 1){
pcup_s[n] = pcup_s[n-1];
} else {
k = ((n-1)*(n-1) - 1) / ((2*n-1)*(2*n-3));
pcup_s[n] = sin_phi * pcup_s[n-1] - k*pcup_s[n-2];
}
by += relative_radius_power[n] *
(g[i]*sin_mlambda[1] - h[i]*cos_mlambda[1]) *
pcup_s[n] * schmidt_quasi_norm3;
}
}
return new MagneticVector({
bx: bx, by: by, bz: bz
});
};
Model.prototype.point = function(coords) {
// Extract altitude if provided, otherwise default to 0
var altitude = (coords.length > 2 && typeof coords[2] === 'number') ? coords[2] : 0;
var coord_geodetic = new GeodeticCoord({
lat: coords[0],
lon: coords[1],
height_above_ellipsoid: altitude
});
var coord_spherical = coord_geodetic.toSpherical();
var legendre = coord_spherical.getLegendreFunction(this.n_max);
var harmonic_variables = coord_spherical.getHarmonicVariables(coord_geodetic.ellipsoid, this.n_max);
var magnetic_vector_sph = this.getSummation(legendre, harmonic_variables, coord_spherical);
var magnetic_vector_geo = magnetic_vector_sph.rotate(coord_spherical, coord_geodetic);
return MagneticElements.fromGeoMagneticVector(magnetic_vector_geo);
};
node_modules/geomagnetism/lib/parsers/cof.js
Generated Vendored
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module.exports = function(str){
var result = {
main_field_coeff_g: [0],
main_field_coeff_h: [0],
secular_var_coeff_g: [0],
secular_var_coeff_h: [0],
n_max: 0,
n_max_sec_var: 0
};
var lines = str.split(/\r?\n/);
for(var i = 0; i < lines.length; i++) {
var line = lines[i];
var vals = line.match(/\S+/g);
if(!vals) continue;
if(vals.length === 3){
result.epoch = parseFloat(vals[0]);
result.name = vals[1];
result.start_date = new Date(vals[2]);
result.end_date = new Date(vals[2]);
var year = result.start_date.getFullYear();
result.end_date.setFullYear(year + 5);
}
if(vals.length === 6){
var n = parseInt(vals[0]);
var m = parseInt(vals[1]);
if(m <= n) {
var i = (n*(n+1)/2+m);
result.main_field_coeff_g[i] = parseFloat(vals[2]);
result.main_field_coeff_h[i] = parseFloat(vals[3]);
result.secular_var_coeff_g[i] = parseFloat(vals[4]);
result.secular_var_coeff_h[i] = parseFloat(vals[5]);
}
if(n > result.n_max){
result.n_max = n;
result.n_max_sec_var = n;
}
}
}
return result;
};
node_modules/geomagnetism/package.json
Generated Vendored
+34
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{
"name": "geomagnetism",
"types": "geomagnetism.d.ts",
"version": "0.2.0",
"description": "Computes geomagnetic field information",
"main": "index.js",
"scripts": {
"test": "mocha test",
"test-ci": "mocha -R tap"
},
"repository": {
"type": "git",
"url": "https://github.com/naturalatlas/geomagnetism.git"
},
"keywords": [
"geomag",
"geomagnetic",
"magnetic",
"field",
"north",
"declination",
"wmm"
],
"devDependencies": {
"mocha": "~5.x",
"chai": "~4.2.0"
},
"author": "Brandon Reavis",
"license": "Apache-2.0",
"bugs": {
"url": "https://github.com/naturalatlas/geomagnetism/issues"
},
"homepage": "https://github.com/naturalatlas/geomagnetism"
}
node_modules/geomagnetism/test/model.test.js
Generated Vendored
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var geomagnetism = require('../index.js');
var assert = require('chai').assert;
var fs = require('fs');
var tolerances = {
incl: 0.01, //deg
decl: 0.01, //deg
x: 5, //nT
y: 5, //nT
z: 5, //nT
h: 5, //nT
f: 5 //nT
};
function loadTestValues(){
var str = fs.readFileSync(__dirname + '/values.csv', {encoding: 'utf8'});
var lines = str.split(/\r?\n/);
var header = lines[0].split(',');
var values = [];
for(var i = 1; i < lines.length; i++){
var l = lines[i].split(',');
var v = {};
for(var j = 0; j < header.length; j++){
v[header[j]] = parseFloat(l[j]);
}
values.push(v);
}
return values;
}
function getModel(test){
var t0, t1;
var year = test.date;
var year_int = Math.floor(year);
var year_fpart = year - year_int;
var dms = 1000*3600*24*365*year_fpart;
t0 = new Date(year_int, 0, 1);
t1 = new Date(t0.valueOf() + dms);
return geomagnetism.model(t1);
}
var values = loadTestValues();
describe("model", function(){
describe("point()", function(){
it("should return expected values", function(){
values.forEach(function(test){
var model = getModel(test);
var info = model.point([test.lat, test.lon, test.alt]);
assert.closeTo(info.incl, test.incl, tolerances.incl, 'inclination ' + test.date);
assert.closeTo(info.decl, test.decl, tolerances.decl, 'declination ' + test.date);
assert.closeTo(info.x, test.x, tolerances.x, 'x');
assert.closeTo(info.y, test.y, tolerances.y, 'y');
assert.closeTo(info.z, test.z, tolerances.z, 'z');
assert.closeTo(info.h, test.h, tolerances.h, 'h');
assert.closeTo(info.f, test.f, tolerances.f, 'f');
});
});
it("should return value for current date", function(){
var date = new Date();
geomagnetism.model(date).point([44.53461, -109.05572]);
});
it("should return value for current date + 1 year", function(){
var date = new Date();
date.setFullYear(date.getFullYear() + 1);
geomagnetism.model(date).point([44.53461, -109.05572]);
});
});
describe("getTimedModel()", function(){
it("should throw error if date is outside of valid range and allowOutOfBoundsModel is false", function(){
assert.throws(function(){
geomagnetism.model(new Date("1/1/1999"));
}, Error);
});
it("should log error if date is outside of valid range below and allowOutOfBoundsModel is true", function(){
var model = geomagnetism.model(new Date("1/1/1999"), { allowOutOfBoundsModel: true });
assert.equal(model.start_date.getFullYear(), 2014);
});
it("should log error if date is outside of valid range above and allowOutOfBoundsModel is true", function(){
var model = geomagnetism.model(new Date("1/1/2030"), { allowOutOfBoundsModel: true });
assert.equal(model.start_date.getFullYear(), 2024);
});
it("should get a different model for a different date", function(){
var pt = [44.53461, -109.05572];
var model0 = geomagnetism.model();
var model1 = geomagnetism.model(new Date("3/22/2018"));
var decl0 = model0.point(pt).decl;
var decl1 = model1.point(pt).decl;
assert.notEqual(model0, model1);
assert(Math.abs(decl1 - decl0) > 0.001, 'declination should be different');
});
});
});
node_modules/geomagnetism/test/values.csv
Generated Vendored
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date,alt,lat,lon,x,y,z,h,f,incl,decl,gv
2015.0,0,80,0,6627.1,-445.9,54432.3,6642.1,54836.0,83.04,-3.85,-3.85
2015.0,0,0,120,39518.2,392.9,-11252.4,39520.2,41090.9,-15.89,0.57,0.57
2015.0,0,-80,240,5797.3,15761.1,-52919.1,16793.5,55519.8,-72.39,69.81,309.81
2015.0,100,80,0,6314.3,-471.6,52269.8,6331.9,52652.0,83.09,-4.27,-4.27
2015.0,100,0,120,37535.6,364.4,-10773.4,37537.3,39052.7,-16.01,0.56,0.56
2015.0,100,-80,240,5613.1,14791.5,-50378.6,15820.7,52804.4,-72.57,69.22,309.22
2017.5,0,80,0,6599.4,-317.1,54459.2,6607.0,54858.5,83.08,-2.75,-2.75
2017.5,0,0,120,39571.4,222.5,-11030.1,39572.0,41080.5,-15.57,0.32,0.32
2017.5,0,-80,240,5873.8,15781.4,-52687.9,16839.1,55313.4,-72.28,69.58,309.58
2017.5,100,80,0,6290.5,-348.5,52292.7,6300.1,52670.9,83.13,-3.17,-3.17
2017.5,100,0,120,37585.5,209.5,-10564.2,37586.1,39042.5,-15.70,0.32,0.32
2017.5,100,-80,240,5683.5,14808.8,-50163.0,15862.0,52611.1,-72.45,69.00,309.00
2015.21096,0,44.5364,-109.0461,18702.1,3663.7,50812.2,19057.5,54268.5,69.44104,11.08386,0
2020.0,28,89,-121,-575.7,-1396.0,56082.3,1510.0,56102.7,88.46,-112.41,0
2020.0,48,80,-96,1518.0,-1160.5,55671.9,1910.8,55704.7,88.03,-37.40,0
2020.0,54,82,87,1555.6,1941.4,56520.5,2487.8,56575.2,87.48,51.30,0
2020.0,65,43,93,24375.3,303.2,49691.4,24377.2,55348.7,63.87,0.71,0
2020.0,51,-33,109,21556.3,-2183.2,-52676.0,21666.6,56957.9,-67.64,-5.78,0
2020.0,39,-59,-8,14369.9,-4063.3,-24679.0,14933.4,28845.4,-58.82,-15.79,0
2020.0,3,-50,-103,19684.4,10512.2,-31883.6,22315.5,38917.2,-55.01,28.10,0
2020.0,94,-29,-110,23467.8,6650.9,-19320.7,24392.0,31116.9,-38.38,15.82,0
2020.0,66,14,143,34916.8,70.2,8114.9,34916.9,35847.5,13.08,0.12,0
2020.0,18,0,21,29311.2,536.0,-14589.0,29316.1,32745.6,-26.46,1.05,0
2020.5,6,-36,-137,23948.6,8791.9,-32897.6,25511.4,41630.3,-52.21,20.16,0
2020.5,63,26,81,34737.7,259.2,30023.4,34738.7,45914.9,40.84,0.43,0
2020.5,69,38,-144,22647.3,5390.0,35831.9,23279.9,42730.3,56.99,13.39,0
2020.5,50,-70,-133,8943.1,13981.7,-51628.5,16597.2,54230.7,-72.18,57.40,0
2020.5,8,-52,-75,19571.7,5387.5,-23769.0,20299.7,31257.7,-49.50,15.39,0
2020.5,8,-66,17,15247.0,-9734.8,-31062.0,18089.7,35945.6,-59.78,-32.56,0
2020.5,22,-37,140,21429.0,3451.3,-55415.6,21705.2,59514.7,-68.61,9.15,0
2020.5,40,-12,-129,28773.9,5503.9,-8221.8,29295.6,30427.4,-15.68,10.83,0
2020.5,44,33,-118,23414.3,4748.3,38184.5,23890.9,45042.6,57.97,11.46,0
2020.5,50,-81,-67,16087.9,8788.9,-44780.8,18332.1,48387.8,-67.74,28.65,0
2021.0,74,-57,3,13228.0,-5423.3,-23859.2,14296.6,27814.7,-59.07,-22.29,0
2021.0,46,-24,-122,26037.0,6501.8,-18297.4,26836.5,32480.6,-34.29,14.02,0
2021.0,69,23,63,34450.4,646.9,24869.2,34456.5,42493.9,35.82,1.08,0
2021.0,33,-3,-147,30690.1,5265.7,-1277.4,31138.6,31164.8,-2.35,9.74,0
2021.0,47,-72,-22,18352.8,-1946.6,-33665.0,18455.7,38392.0,-61.27,-6.05,0
2021.0,62,-14,99,33213.0,-990.3,-33354.0,33227.7,47080.5,-45.11,-1.71,0
2021.0,83,86,-46,2408.8,-1796.2,54184.7,3004.8,54268.0,86.83,-36.71,0
2021.0,82,-64,87,2249.5,-13907.0,-53526.9,14087.8,55349.8,-75.25,-80.81,0
2021.0,34,-19,43,19327.6,-4933.5,-25969.5,19947.3,32746.2,-52.47,-14.32,0
2021.0,56,-81,40,9198.0,-15323.4,-45453.8,17872.0,48841.2,-68.54,-59.03,0
2021.5,14,0,80,39246.6,-2338.9,-12258.0,39316.2,41182.8,-17.32,-3.41,0
2021.5,12,-82,-68,15995.1,9368.5,-46308.7,18536.8,49880.9,-68.18,30.36,0
2021.5,44,-46,-42,14159.0,-2889.8,-19762.2,14450.9,24482.1,-53.82,-11.54,0
2021.5,43,17,52,35896.1,773.7,15885.6,35904.4,39261.7,23.87,1.23,0
2021.5,64,10,78,39294.0,-1172.2,5088.1,39311.5,39639.4,7.37,-1.71,0
2021.5,12,33,-145,24301.2,5327.4,32429.3,24878.3,40872.8,52.51,12.36,0
2021.5,12,-79,115,-9403.6,-8972.3,-58271.0,12997.3,59702.9,-77.43,-136.34,0
2021.5,14,-33,-114,23592.3,7712.3,-24163.1,24820.9,34640.0,-44.23,18.10,0
2021.5,19,29,66,32618.0,1215.2,33763.7,32640.6,46961.7,45.97,2.13,0
2021.5,86,-11,167,32676.0,5828.1,-20299.1,33191.7,38906.8,-31.45,10.11,0
2022.0,37,-66,-5,16404.3,-5011.2,-28849.5,17152.6,33563.5,-59.27,-16.99,0
2022.0,67,72,-115,4532.7,1254.7,55923.4,4703.2,56120.8,85.19,15.47,0
2022.0,44,22,174,28671.0,3294.9,17967.2,28859.7,33995.6,31.91,6.56,0
2022.0,54,54,178,20624.8,514.8,45076.8,20631.2,49573.8,65.41,1.43,0
2022.0,57,-43,50,11344.6,-12349.5,-32850.3,16769.3,36883.0,-62.96,-47.43,0
2022.0,44,-43,-111,20646.1,9330.1,-29747.5,22656.4,37392.8,-52.71,24.32,0
2022.0,12,-63,178,6292.0,9718.1,-61429.1,11577.2,62510.5,-79.33,57.08,0
2022.0,38,27,-169,25896.5,3991.3,24097.4,26202.3,35598.4,42.60,8.76,0
2022.0,61,59,-77,10098.3,-3208.9,54735.3,10595.8,55751.4,79.04,-17.63,0
2022.0,67,-47,-32,12663.7,-3178.2,-20600.9,13056.5,24389.9,-57.63,-14.09,0
2022.5,8,62,53,12336.1,4236.6,54498.1,13043.3,56037.2,76.54,18.95,0
2022.5,77,-68,-7,16604.7,-4741.2,-29908.6,17268.3,34535.8,-60.00,-15.94,0
2022.5,98,-5,159,33613.6,4601.1,-14426.9,33927.0,36867.1,-23.04,7.79,0
2022.5,34,-29,-107,23739.9,6662.3,-19023.5,24657.0,31142.6,-37.65,15.68,0
2022.5,60,27,65,32938.8,1025.8,30561.3,32954.8,44944.6,42.84,1.78,0
2022.5,73,-72,95,-2661.0,-13095.2,-55423.4,13362.8,57011.5,-76.44,-101.49,0
2022.5,96,-46,-85,19136.4,6358.2,-21915.4,20165.1,29781.1,-47.38,18.38,0
2022.5,0,-13,-59,21797.3,-6520.6,-5425.9,22751.7,23389.8,-13.41,-16.65,0
2022.5,16,66,-178,13804.5,463.2,54055.4,13812.2,55792.1,75.67,1.92,0
2022.5,72,-87,38,7132.3,-15063.2,-48550.5,16666.4,51331.5,-71.05,-64.66,0
2023.0,49,20,167,30099.4,2737.4,15301.2,30223.6,33876.1,26.85,5.20,0
2023.0,71,5,-13,28217.7,-3592.6,-8905.8,28445.5,29807.1,-17.38,-7.26,0
2023.0,95,14,65,36804.1,-356.8,11616.0,36805.8,38595.3,17.52,-0.56,0
2023.0,86,-85,-79,12598.0,11248.0,-47331.2,16888.7,50254.0,-70.36,41.76,0
2023.0,30,-36,-64,17694.8,-1198.1,-14566.5,17735.3,22950.5,-39.40,-3.87,0
2023.0,75,79,125,2605.8,-676.0,57085.9,2692.1,57149.3,87.30,-14.54,0
2023.0,21,6,-32,27630.5,-7515.0,-3646.9,28634.3,28865.6,-7.26,-15.22,0
2023.0,1,-76,-75,16998.9,9958.1,-42873.8,19700.9,47183.6,-65.32,30.36,0
2023.0,45,-46,-41,13880.3,-2936.1,-19853.0,14187.4,24401.3,-54.45,-11.94,0
2023.0,11,-22,-21,12752.8,-5710.4,-21372.4,13972.9,25534.7,-56.82,-24.12,0
2023.5,28,54,-120,14556.6,4230.3,52945.6,15158.8,55072.9,74.02,16.20,0
2023.5,68,-58,156,7015.1,5987.8,-62459.5,9223.1,63136.8,-81.60,40.48,0
2023.5,39,-65,-88,18024.0,10347.2,-36415.6,20783.0,41928.8,-60.29,29.86,0
2023.5,27,-23,81,24811.0,-6176.1,-41759.2,25568.2,48965.0,-58.52,-13.98,0
2023.5,11,34,0,29033.7,545.3,30807.0,29038.8,42335.9,46.69,1.08,0
2023.5,72,-62,65,6836.8,-16092.9,-44111.8,17485.0,47450.8,-68.38,-66.98,0
2023.5,55,86,70,1168.7,2124.7,55750.6,2424.9,55803.4,87.51,61.19,0
2023.5,59,32,163,28170.0,176.0,26318.3,28170.6,38551.7,43.05,0.36,0
2023.5,65,48,148,23356.8,-3861.2,43968.0,23673.8,49936.3,61.70,-9.39,0
2023.5,95,30,28,29663.3,2331.2,28857.6,29754.7,41450.1,44.12,4.49,0
2024.0,95,-60,-59,18099.3,2821.2,-26193.2,18317.9,31962.9,-55.03,8.86,0
2024.0,95,-70,42,10615.3,-14769.3,-38293.4,18188.3,42393.4,-64.59,-54.29,0
2024.0,50,87,-154,80.9,-592.4,55904.6,597.9,55907.8,89.39,-82.22,0
2024.0,58,32,19,29331.6,2019.5,30329.8,29401.0,42241.2,45.89,3.94,0
2024.0,57,34,-13,28158.7,-1290.8,29015.5,28188.3,40453.4,45.83,-2.62,0
2024.0,38,-76,49,8218.0,-16491.7,-44260.7,18425.8,47942.9,-67.40,-63.51,0
2024.0,49,-50,-179,15431.4,9482.7,-53818.3,18112.2,56784.4,-71.40,31.57,0
2024.0,90,-55,-171,12918.7,10118.6,-53373.5,16409.7,55839.2,-72.91,38.07,0
2024.0,41,42,-19,24317.3,-2127.0,36981.3,24410.2,44311.1,56.57,-5.00,0
2024.0,19,46,-22,22384.7,-2590.4,40713.3,22534.0,46533.4,61.04,-6.60,0
2024.5,31,13,-132,28046.9,4548.8,17417.2,28413.4,33326.9,31.51,9.21,0
2024.5,93,-2,158,33858.1,4253.5,-10940.3,34124.3,35835.1,-17.78,7.16,0
2024.5,51,-76,40,10459.6,-15294.7,-42141.5,18529.2,46035.2,-66.27,-55.63,0
2024.5,64,22,-132,25808.9,4792.5,25239.1,26250.1,36415.3,43.88,10.52,0
2024.5,26,-65,55,8607.6,-16603.5,-41366.0,18702.1,45397.3,-65.67,-62.60,0
2024.5,66,-21,32,15510.7,-3677.9,-24502.7,15940.8,29231.7,-56.95,-13.34,0
2024.5,18,9,-172,30615.4,5065.5,8768.5,31031.6,32246.7,15.78,9.39,0
2024.5,63,88,26,2189.6,1254.6,55156.1,2523.6,55213.8,87.38,29.81,0
2024.5,33,17,5,34060.9,362.9,8230.6,34062.9,35043.1,13.58,0.61,0
2024.5,77,-18,138,31722.0,2569.6,-34986.2,31825.9,47296.1,-47.71,4.63,0
2025.000000,28,89,-121,-255.388723,-1482.460628,56194.288771,1504.298146,56214.419888,88.47,-99.77,0
2025.000000,48,80,-96,1875.982280,-1079.269389,55623.044051,2164.285547,55665.134163,87.77,-29.91,0
2025.000000,54,82,87,1324.336929,1883.428620,56740.772059,2302.427342,56787.466800,87.68,54.89,0
2025.000000,65,43,93,24299.852822,210.517066,50037.923998,24300.764692,55626.621348,64.10,0.50,0
2025.000000,51,-33,109,21737.778822,-2090.274098,-52710.003920,21838.046477,57054.752538,-67.50,-5.49,0
2025.000000,39,-59,-8,14358.095523,-4049.107540,-24389.086374,14918.115796,28589.818346,-58.55,-15.75,0
2025.000000,3,-50,-103,19526.532799,10362.990980,-31437.562789,22106.041373,38431.724126,-54.89,27.96,0
2025.000000,94,-29,-110,23275.471080,6559.046509,-19063.605287,24181.990098,30792.688931,-38.25,15.74,0
2025.000000,66,14,143,35003.441364,-116.624818,7966.315182,35003.635649,35898.700342,12.82,-0.19,0
2025.000000,18,0,21,29274.811882,659.800118,-14316.722540,29282.246275,32594.761714,-26.06,1.29,0
2025.500000,6,-36,-137,23781.930678,8786.698927,-32577.518648,25353.230658,41280.516301,-52.11,20.28,0
2025.500000,63,26,81,34802.613433,308.431881,30332.056989,34803.980117,46166.554053,41.07,0.51,0
2025.500000,69,38,-144,22510.804524,5167.636206,35525.990264,23096.337032,42373.774537,56.97,12.93,0
2025.500000,50,-70,-133,9021.847823,14001.865232,-51084.838301,16656.709403,53731.803175,-71.94,57.21,0
2025.500000,8,-52,-75,19331.857134,5147.774727,-23532.664273,20005.506364,30886.996822,-49.63,14.91,0
2025.500000,8,-66,17,15201.438652,-9925.501123,-30881.123197,18154.870136,35822.382382,-59.55,-33.14,0
2025.500000,22,-37,140,21404.761773,3498.897430,-55397.587760,21688.847590,59492.006517,-68.62,9.28,0
2025.500000,40,-12,-129,28594.451238,5432.201489,-8052.525092,29105.866326,30199.248583,-15.46,10.76,0
2025.500000,44,33,-118,23235.835850,4558.379362,37727.715752,23678.743422,44542.826874,57.89,11.10,0
2025.500000,50,-81,-67,16132.682326,8623.494405,-44412.283868,18292.842720,48032.062762,-67.61,28.13,0
2026.000000,74,-57,3,13268.119649,-5498.179626,-23576.062921,14362.206593,27606.226129,-58.65,-22.51,0
2026.000000,46,-24,-122,25846.118652,6448.863284,-18080.399376,26638.500090,32194.883578,-34.17,14.01,0
2026.000000,69,23,63,34558.605297,708.078839,25043.405885,34565.858527,42684.549360,35.92,1.17,0
2026.000000,33,-3,-147,30514.086409,5221.840663,-1146.978999,30957.666082,30978.906535,-2.12,9.71,0
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2026.000000,82,-64,87,2007.074870,-13829.362571,-53663.514288,13974.248411,55453.154865,-75.40,-81.74,0
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2026.500000,43,17,52,35994.907968,747.876551,15990.895993,36002.676553,39394.180708,23.95,1.19,0
2026.500000,64,10,78,39427.724480,-1049.971869,5214.811025,39441.702532,39784.948821,7.53,-1.53,0
2026.500000,12,33,-145,24136.839639,5112.225422,32162.934508,24672.289649,40536.110231,52.51,11.96,0
2026.500000,12,-79,115,-9613.650418,-8785.714482,-58104.306533,13023.480845,59545.961164,-77.37,-137.58,0
2026.500000,14,-33,-114,23393.133584,7653.110952,-23854.293436,24613.183584,34275.882505,-44.10,18.12,0
2026.500000,19,29,66,32725.000691,1278.343380,33958.454002,32749.959268,47177.711160,46.04,2.24,0
2026.500000,86,-11,167,32578.377044,5882.794932,-20368.224196,33105.255278,38869.300019,-31.60,10.24,0
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2027.000000,67,72,-115,4883.287833,1192.857435,55689.615237,5026.868699,55916.032175,84.84,13.73,0
2027.000000,44,22,174,28683.972510,3249.857362,17961.198575,28867.487799,33999.066253,31.89,6.46,0
2027.000000,54,54,178,20615.871559,225.041793,45149.631876,20617.099795,49634.202547,65.46,0.63,0
2027.000000,57,-43,50,11203.748204,-12563.437494,-33221.366617,16833.417225,37242.759503,-63.13,-48.27,0
2027.000000,44,-43,-111,20471.522067,9245.505620,-29347.556906,22462.470699,36957.295441,-52.57,24.31,0
2027.000000,12,-63,178,6233.774935,9925.455386,-61075.730989,11720.691727,62190.188377,-79.14,57.87,0
2027.000000,38,27,-169,25821.061601,3851.701313,24058.365347,26106.758229,35501.658671,42.66,8.48,0
2027.000000,61,59,-77,10437.775689,-3087.391846,54397.713552,10884.812802,55476.034370,78.68,-16.48,0
2027.000000,67,-47,-32,12450.832543,-2994.148743,-20475.298079,12805.786103,24150.072239,-57.98,-13.52,0
2027.500000,8,62,53,12260.425578,4315.497527,54849.810218,12997.751893,56368.814385,76.67,19.39,0
2027.500000,77,-68,-7,16578.099495,-4813.676173,-29680.383821,17262.817301,34335.550744,-59.82,-16.19,0
2027.500000,98,-5,159,33544.960996,4589.735713,-14525.780052,33857.496691,36841.937629,-23.22,7.79,0
2027.500000,34,-29,-107,23540.396213,6592.363667,-18723.097084,24446.053109,30792.269761,-37.45,15.64,0
2027.500000,60,27,65,33062.159421,1068.555172,30667.425573,33079.422542,45108.083389,42.83,1.85,0
2027.500000,73,-72,95,-2912.418045,-12984.118939,-55399.217725,13306.747292,56974.931751,-76.49,-102.64,0
2027.500000,96,-46,-85,18947.658009,6129.590452,-21631.434316,19914.457641,29402.458634,-47.37,17.93,0
2027.500000,0,-13,-59,21365.849306,-6732.560620,-6112.313520,22401.493010,23220.406233,-15.26,-17.49,0
2027.500000,16,66,-178,13821.326215,89.244328,54092.646409,13821.614337,55830.559897,75.67,0.37,0
2027.500000,72,-87,38,6926.051596,-15153.941754,-48295.635435,16661.696834,51088.947370,-70.97,-65.44,0
2028.000000,49,20,167,30131.436134,2689.876669,15295.611788,30251.262453,33898.298187,26.82,5.10,0
2028.000000,71,5,-13,28142.647915,-3192.970202,-9017.928693,28323.200567,29724.177504,-17.66,-6.47,0
2028.000000,95,14,65,36932.466767,-329.910612,11601.180703,36933.940251,38713.089985,17.44,-0.51,0
2028.000000,86,-85,-79,12713.115116,11085.480728,-46988.258092,16867.459172,49924.018042,-70.25,41.09,0
2028.000000,30,-36,-64,17341.333537,-1411.102609,-14639.967305,17398.651081,22738.551012,-40.08,-4.65,0
2028.000000,75,79,125,2447.595900,-823.235047,57308.751756,2582.332595,57366.902212,87.42,-18.59,0
2028.000000,21,6,-32,27567.094260,-7045.034525,-4352.046687,28453.070088,28783.980055,-8.70,-14.34,0
2028.000000,1,-76,-75,16993.742946,9761.147808,-42479.847250,19597.635210,46782.525885,-65.23,29.87,0
2028.000000,45,-46,-41,13609.973828,-2812.623735,-19816.196211,13897.562372,24203.798713,-54.96,-11.68,0
2028.000000,11,-22,-21,12430.606447,-5337.987778,-21373.837958,13528.270036,25295.356080,-57.67,-23.24,0
2028.500000,28,54,-120,14735.145798,4066.959949,52393.678137,15286.094495,54578.037650,73.74,15.43,0
2028.500000,68,-58,156,6944.959164,6159.591995,-62264.415929,9282.943032,62952.605366,-81.52,41.57,0
2028.500000,39,-65,-88,17946.905687,10131.662696,-35982.872979,20609.270068,41466.964689,-60.20,29.45,0
2028.500000,27,-23,81,24940.672257,-5883.907569,-41948.733657,25625.329284,49156.421313,-58.58,-13.27,0
2028.500000,11,34,0,29078.234597,798.434048,30945.577813,29089.194286,42471.284539,46.77,1.57,0
2028.500000,72,-62,65,6567.891205,-16150.440331,-44267.327811,17434.847799,47576.992646,-68.50,-67.87,0
2028.500000,55,86,70,901.741754,2192.139033,55926.154052,2370.361097,55976.363930,87.57,67.64,0
2028.500000,59,32,163,28217.104175,75.200106,26405.862611,28217.204381,38645.571587,43.10,0.15,0
2028.500000,65,48,148,23365.167010,-3931.047029,44177.553125,23693.546804,50130.233993,61.79,-9.55,0
2028.500000,95,30,28,29692.133298,2367.965026,29039.808439,29786.406936,41599.765773,44.27,4.56,0
2029.000000,95,-60,-59,17893.018948,2700.105868,-26011.845842,18095.598879,31687.013474,-55.17,8.58,0
2029.000000,95,-70,42,10426.249753,-14920.796381,-38237.047006,18202.660480,42348.655378,-64.54,-55.06,0
2029.000000,50,87,-154,257.877420,-869.484879,55992.308183,906.920459,55999.652503,89.07,-73.48,0
2029.000000,58,32,19,29359.395781,2108.188210,30508.465542,29434.989012,42393.219362,46.03,4.11,0
2029.000000,57,34,-13,28241.863242,-933.225495,28997.458189,28257.277809,40488.595068,45.74,-1.89,0
2029.000000,38,-76,49,7991.121323,-16588.167977,-44151.303941,18412.640681,47836.837024,-67.36,-64.28,0
2029.000000,49,-50,-179,15315.042731,9610.272521,-53522.651338,18080.593790,56494.088877,-71.33,32.11,0
2029.000000,90,-55,-171,12821.507915,10252.398258,-52995.143972,16416.538468,55479.618058,-72.79,38.65,0
2029.000000,41,42,-19,24439.977735,-1762.893879,36929.897501,24503.475397,44319.720622,56.44,-4.13,0
2029.000000,19,46,-22,22522.142232,-2227.393290,40651.688191,22632.016516,46527.066578,60.89,-5.65,0
2029.500000,31,13,-132,27795.620707,4421.061344,17187.983590,28145.022897,32978.312476,31.41,9.04,0
2029.500000,93,-2,158,33806.520595,4207.156292,-10964.647547,34067.301020,35788.329028,-17.84,7.09,0
2029.500000,51,-76,40,10263.650094,-15412.758102,-42018.541264,18517.441118,45917.898858,-66.22,-56.34,0
2029.500000,64,22,-132,25601.266218,4619.955329,24914.378368,26014.780783,36020.758857,43.76,10.23,0
2029.500000,26,-65,55,8347.198524,-16728.868464,-41431.528035,18695.741849,45454.397791,-65.71,-63.48,0
2029.500000,66,-21,32,15578.335534,-4066.430831,-24494.877642,16100.322907,29312.444941,-56.68,-14.63,0
2029.500000,18,9,-172,30520.999126,4966.941695,8779.472279,30922.514410,32144.689001,15.85,9.24,0
2029.500000,63,88,26,2041.140972,1511.567287,55286.620082,2539.900024,55344.931586,87.37,36.52,0
2029.500000,33,17,5,34021.976056,531.446418,8341.137769,34026.126581,35033.582023,13.77,0.89,0
2029.500000,77,-18,138,31751.497580,2472.257962,-34817.395113,31847.600506,47186.021876,-47.55,4.45,0
1 date alt lat lon x y z h f incl decl gv
2 2015.0 0 80 0 6627.1 -445.9 54432.3 6642.1 54836.0 83.04 -3.85 -3.85
3 2015.0 0 0 120 39518.2 392.9 -11252.4 39520.2 41090.9 -15.89 0.57 0.57
4 2015.0 0 -80 240 5797.3 15761.1 -52919.1 16793.5 55519.8 -72.39 69.81 309.81
5 2015.0 100 80 0 6314.3 -471.6 52269.8 6331.9 52652.0 83.09 -4.27 -4.27
6 2015.0 100 0 120 37535.6 364.4 -10773.4 37537.3 39052.7 -16.01 0.56 0.56
7 2015.0 100 -80 240 5613.1 14791.5 -50378.6 15820.7 52804.4 -72.57 69.22 309.22
8 2017.5 0 80 0 6599.4 -317.1 54459.2 6607.0 54858.5 83.08 -2.75 -2.75
9 2017.5 0 0 120 39571.4 222.5 -11030.1 39572.0 41080.5 -15.57 0.32 0.32
10 2017.5 0 -80 240 5873.8 15781.4 -52687.9 16839.1 55313.4 -72.28 69.58 309.58
11 2017.5 100 80 0 6290.5 -348.5 52292.7 6300.1 52670.9 83.13 -3.17 -3.17
12 2017.5 100 0 120 37585.5 209.5 -10564.2 37586.1 39042.5 -15.70 0.32 0.32
13 2017.5 100 -80 240 5683.5 14808.8 -50163.0 15862.0 52611.1 -72.45 69.00 309.00
14 2015.21096 0 44.5364 -109.0461 18702.1 3663.7 50812.2 19057.5 54268.5 69.44104 11.08386 0
15 2020.0 28 89 -121 -575.7 -1396.0 56082.3 1510.0 56102.7 88.46 -112.41 0
16 2020.0 48 80 -96 1518.0 -1160.5 55671.9 1910.8 55704.7 88.03 -37.40 0
17 2020.0 54 82 87 1555.6 1941.4 56520.5 2487.8 56575.2 87.48 51.30 0
18 2020.0 65 43 93 24375.3 303.2 49691.4 24377.2 55348.7 63.87 0.71 0
19 2020.0 51 -33 109 21556.3 -2183.2 -52676.0 21666.6 56957.9 -67.64 -5.78 0
20 2020.0 39 -59 -8 14369.9 -4063.3 -24679.0 14933.4 28845.4 -58.82 -15.79 0
21 2020.0 3 -50 -103 19684.4 10512.2 -31883.6 22315.5 38917.2 -55.01 28.10 0
22 2020.0 94 -29 -110 23467.8 6650.9 -19320.7 24392.0 31116.9 -38.38 15.82 0
23 2020.0 66 14 143 34916.8 70.2 8114.9 34916.9 35847.5 13.08 0.12 0
24 2020.0 18 0 21 29311.2 536.0 -14589.0 29316.1 32745.6 -26.46 1.05 0
25 2020.5 6 -36 -137 23948.6 8791.9 -32897.6 25511.4 41630.3 -52.21 20.16 0
26 2020.5 63 26 81 34737.7 259.2 30023.4 34738.7 45914.9 40.84 0.43 0
27 2020.5 69 38 -144 22647.3 5390.0 35831.9 23279.9 42730.3 56.99 13.39 0
28 2020.5 50 -70 -133 8943.1 13981.7 -51628.5 16597.2 54230.7 -72.18 57.40 0
29 2020.5 8 -52 -75 19571.7 5387.5 -23769.0 20299.7 31257.7 -49.50 15.39 0
30 2020.5 8 -66 17 15247.0 -9734.8 -31062.0 18089.7 35945.6 -59.78 -32.56 0
31 2020.5 22 -37 140 21429.0 3451.3 -55415.6 21705.2 59514.7 -68.61 9.15 0
32 2020.5 40 -12 -129 28773.9 5503.9 -8221.8 29295.6 30427.4 -15.68 10.83 0
33 2020.5 44 33 -118 23414.3 4748.3 38184.5 23890.9 45042.6 57.97 11.46 0
34 2020.5 50 -81 -67 16087.9 8788.9 -44780.8 18332.1 48387.8 -67.74 28.65 0
35 2021.0 74 -57 3 13228.0 -5423.3 -23859.2 14296.6 27814.7 -59.07 -22.29 0
36 2021.0 46 -24 -122 26037.0 6501.8 -18297.4 26836.5 32480.6 -34.29 14.02 0
37 2021.0 69 23 63 34450.4 646.9 24869.2 34456.5 42493.9 35.82 1.08 0
38 2021.0 33 -3 -147 30690.1 5265.7 -1277.4 31138.6 31164.8 -2.35 9.74 0
39 2021.0 47 -72 -22 18352.8 -1946.6 -33665.0 18455.7 38392.0 -61.27 -6.05 0
40 2021.0 62 -14 99 33213.0 -990.3 -33354.0 33227.7 47080.5 -45.11 -1.71 0
41 2021.0 83 86 -46 2408.8 -1796.2 54184.7 3004.8 54268.0 86.83 -36.71 0
42 2021.0 82 -64 87 2249.5 -13907.0 -53526.9 14087.8 55349.8 -75.25 -80.81 0
43 2021.0 34 -19 43 19327.6 -4933.5 -25969.5 19947.3 32746.2 -52.47 -14.32 0
44 2021.0 56 -81 40 9198.0 -15323.4 -45453.8 17872.0 48841.2 -68.54 -59.03 0
45 2021.5 14 0 80 39246.6 -2338.9 -12258.0 39316.2 41182.8 -17.32 -3.41 0
46 2021.5 12 -82 -68 15995.1 9368.5 -46308.7 18536.8 49880.9 -68.18 30.36 0
47 2021.5 44 -46 -42 14159.0 -2889.8 -19762.2 14450.9 24482.1 -53.82 -11.54 0
48 2021.5 43 17 52 35896.1 773.7 15885.6 35904.4 39261.7 23.87 1.23 0
49 2021.5 64 10 78 39294.0 -1172.2 5088.1 39311.5 39639.4 7.37 -1.71 0
50 2021.5 12 33 -145 24301.2 5327.4 32429.3 24878.3 40872.8 52.51 12.36 0
51 2021.5 12 -79 115 -9403.6 -8972.3 -58271.0 12997.3 59702.9 -77.43 -136.34 0
52 2021.5 14 -33 -114 23592.3 7712.3 -24163.1 24820.9 34640.0 -44.23 18.10 0
53 2021.5 19 29 66 32618.0 1215.2 33763.7 32640.6 46961.7 45.97 2.13 0
54 2021.5 86 -11 167 32676.0 5828.1 -20299.1 33191.7 38906.8 -31.45 10.11 0
55 2022.0 37 -66 -5 16404.3 -5011.2 -28849.5 17152.6 33563.5 -59.27 -16.99 0
56 2022.0 67 72 -115 4532.7 1254.7 55923.4 4703.2 56120.8 85.19 15.47 0
57 2022.0 44 22 174 28671.0 3294.9 17967.2 28859.7 33995.6 31.91 6.56 0
58 2022.0 54 54 178 20624.8 514.8 45076.8 20631.2 49573.8 65.41 1.43 0
59 2022.0 57 -43 50 11344.6 -12349.5 -32850.3 16769.3 36883.0 -62.96 -47.43 0
60 2022.0 44 -43 -111 20646.1 9330.1 -29747.5 22656.4 37392.8 -52.71 24.32 0
61 2022.0 12 -63 178 6292.0 9718.1 -61429.1 11577.2 62510.5 -79.33 57.08 0
62 2022.0 38 27 -169 25896.5 3991.3 24097.4 26202.3 35598.4 42.60 8.76 0
63 2022.0 61 59 -77 10098.3 -3208.9 54735.3 10595.8 55751.4 79.04 -17.63 0
64 2022.0 67 -47 -32 12663.7 -3178.2 -20600.9 13056.5 24389.9 -57.63 -14.09 0
65 2022.5 8 62 53 12336.1 4236.6 54498.1 13043.3 56037.2 76.54 18.95 0
66 2022.5 77 -68 -7 16604.7 -4741.2 -29908.6 17268.3 34535.8 -60.00 -15.94 0
67 2022.5 98 -5 159 33613.6 4601.1 -14426.9 33927.0 36867.1 -23.04 7.79 0
68 2022.5 34 -29 -107 23739.9 6662.3 -19023.5 24657.0 31142.6 -37.65 15.68 0
69 2022.5 60 27 65 32938.8 1025.8 30561.3 32954.8 44944.6 42.84 1.78 0
70 2022.5 73 -72 95 -2661.0 -13095.2 -55423.4 13362.8 57011.5 -76.44 -101.49 0
71 2022.5 96 -46 -85 19136.4 6358.2 -21915.4 20165.1 29781.1 -47.38 18.38 0
72 2022.5 0 -13 -59 21797.3 -6520.6 -5425.9 22751.7 23389.8 -13.41 -16.65 0
73 2022.5 16 66 -178 13804.5 463.2 54055.4 13812.2 55792.1 75.67 1.92 0
74 2022.5 72 -87 38 7132.3 -15063.2 -48550.5 16666.4 51331.5 -71.05 -64.66 0
75 2023.0 49 20 167 30099.4 2737.4 15301.2 30223.6 33876.1 26.85 5.20 0
76 2023.0 71 5 -13 28217.7 -3592.6 -8905.8 28445.5 29807.1 -17.38 -7.26 0
77 2023.0 95 14 65 36804.1 -356.8 11616.0 36805.8 38595.3 17.52 -0.56 0
78 2023.0 86 -85 -79 12598.0 11248.0 -47331.2 16888.7 50254.0 -70.36 41.76 0
79 2023.0 30 -36 -64 17694.8 -1198.1 -14566.5 17735.3 22950.5 -39.40 -3.87 0
80 2023.0 75 79 125 2605.8 -676.0 57085.9 2692.1 57149.3 87.30 -14.54 0
81 2023.0 21 6 -32 27630.5 -7515.0 -3646.9 28634.3 28865.6 -7.26 -15.22 0
82 2023.0 1 -76 -75 16998.9 9958.1 -42873.8 19700.9 47183.6 -65.32 30.36 0
83 2023.0 45 -46 -41 13880.3 -2936.1 -19853.0 14187.4 24401.3 -54.45 -11.94 0
84 2023.0 11 -22 -21 12752.8 -5710.4 -21372.4 13972.9 25534.7 -56.82 -24.12 0
85 2023.5 28 54 -120 14556.6 4230.3 52945.6 15158.8 55072.9 74.02 16.20 0
86 2023.5 68 -58 156 7015.1 5987.8 -62459.5 9223.1 63136.8 -81.60 40.48 0
87 2023.5 39 -65 -88 18024.0 10347.2 -36415.6 20783.0 41928.8 -60.29 29.86 0
88 2023.5 27 -23 81 24811.0 -6176.1 -41759.2 25568.2 48965.0 -58.52 -13.98 0
89 2023.5 11 34 0 29033.7 545.3 30807.0 29038.8 42335.9 46.69 1.08 0
90 2023.5 72 -62 65 6836.8 -16092.9 -44111.8 17485.0 47450.8 -68.38 -66.98 0
91 2023.5 55 86 70 1168.7 2124.7 55750.6 2424.9 55803.4 87.51 61.19 0
92 2023.5 59 32 163 28170.0 176.0 26318.3 28170.6 38551.7 43.05 0.36 0
93 2023.5 65 48 148 23356.8 -3861.2 43968.0 23673.8 49936.3 61.70 -9.39 0
94 2023.5 95 30 28 29663.3 2331.2 28857.6 29754.7 41450.1 44.12 4.49 0
95 2024.0 95 -60 -59 18099.3 2821.2 -26193.2 18317.9 31962.9 -55.03 8.86 0
96 2024.0 95 -70 42 10615.3 -14769.3 -38293.4 18188.3 42393.4 -64.59 -54.29 0
97 2024.0 50 87 -154 80.9 -592.4 55904.6 597.9 55907.8 89.39 -82.22 0
98 2024.0 58 32 19 29331.6 2019.5 30329.8 29401.0 42241.2 45.89 3.94 0
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node_modules/satellite.js/BENCHMARK-RESULTS.md
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Savage Benchmark (100 runs) Double Precision
--------------------------------------------
The first four are from [TS Kelso's System Benchmarking column](http://celestrak.com/columns/v02n04/)
The Core i7 is Shashwat Kandadai's personal laptop
```
Value: Avg Time:
386DX-33 2500.00000000117734 6.81 s 33 MHz : MS-DOS 6.20
486DX2-66 " 1.26 s 66 MHz : Windows 95
Pentium 90 " 0.55 s 90 MHz : Windows 95
Pentium 133 " 0.38 s 133 MHz : Windows 95
Core i7 2500.0000000025643 0.58 ms 2.0 GHz : Mac OS X
```
Full day propagation results (1440 propagations)
-------------------------------------------------
```
Honeywell-6000 (from Space-Track Report #3)
init ms prpgtion ms
SGP4 1.9 2.5
SDP4 5.1 3.6
Core i7 (Shashwat Kandadai's personal computer)
init ms prpgtion ms
SGP4 0.074 0.0017
SDP4 0.092 0.0046
```
node_modules/satellite.js/CHANGELOG.md
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# Changelog
## 6.0.2
- fix: `twoline2satrec` couldn't parse eccentricity padded with spaces instead of zeros
(this only affects TLE generated by rare specialized software; see #153)
## 6.0.1 (2025-07-04)
- fix: `json2satrec` couldn't parse OMM `EPOCH` that was ending with Z
- fix: `OMMJsonObject.REV_AT_EPOCH` is made optional according to OMM spec
## 6.0.0 (2025-04-06)
- chore: The library is rewritten to TypeScript and type definitions are now not hand-written
but compiled from source code.
- feature: New `json2satrec` function that allows parsing orbital elements in
[OMM](https://www.nasa.gov/wp-content/uploads/2017/12/orbit_data_messages.pdf) format,
**encoded as JSON**. Orbital elements in OMM format are already available for download
from Celestrak and Space-Track. `json2satrec` supports both of these sources and aims
to support all sources of properly formatted OMM data.
To obtain OMM as JSON from Celestrak, select "JSON" option at the top of "Current GP
Element Sets" page or follow
[this link](https://celestrak.org/NORAD/elements/index.php?FORMAT=json) where it will
be already selected.
Space-Track doesn't expose the JSON format in their UI, so to get JSON encoded OMM,
on "Recent ELSETs" page, from "Current Catalog Files", copy a URL for the needed category
and change the ending part of the URL from `/format/xml` to be `/format/json`.
- **BREAKING**: The return type of the `sgp4` and `propagate` functions is changed from:
```ts
{
position: EciVec3<Kilometer> | false
velocity: EciVec3<KilometerPerSecond> | false
}
```
to:
```ts
null | {
position: EciVec3<Kilometer>
velocity: EciVec3<KilometerPerSecond>
meanElements: MeanElements
}
```
Where, if propagation failed, `null` is returned instead of individual keys set to `false`.
- **BREAKING**: removed overloads of `gstime` and return types of `sgp4` and `propagate` that
were not documented by TypeScript definitions as of v5.0.0, but could happen in runtime with v5.0.0.
- feature: New `SatRecError` enum that lists all error codes that can be set on `SatRec.error`.
- feature: `sgp4` and `propagate` function result object returns `meanElements` key,
which is orbit parameters as they have evolved at the propagation moment. Since they are always
internally calculated by SGP4 model, this doesn't impact performance.
- feature: New `sunPos` function that calculates Sun position at date, useful to calculate if
a satellite is in Earth umbra. Its accuracy is within 0.01 angular degree between years
1950 and 2050.
- feature: Many additional properties of `SatRec` are documented
- fix: `dopplerFactor` produces correct results depending on if the satellite is moving
towards or away from the observer.
## 5.0.0 (2023-01-06)
- Errors in calculations are fixed, WGS72 is used instead of WGS84 (#107).
- Dependencies are upgraded.
## 4.1.4 (2022-07-18)
- TypeScript definition for `ecfToEci` function is added.
## 4.1.3 (2020-12-18)
- Fixed calculation of Doppler effect (`dopplerFactor`).
## 4.1.2 (2020-10-13)
- Expose `error` in TypeScript definition of `SatRec`.
- Fix TypeScript definition for `PositionAndVelocity` to allow error handling.
## 4.1.1 (2020-09-15)
- Fix TypeScript definition for `gstime` (#73).
- Fix documentation and TypeScript definition for `degreesLong` and `degreesLat` (#74).
## 4.1.0 (2020-09-14)
- TypeScript support is added via new TypeScript definitions file (#71).
- Rollup and some other dependencies are upgraded.
## 4.0.0 (2020-01-21)
- Node.js 12 support is added. Node.js 6 and Node.js 8 support is dropped (breaking change).
- Mocha, Chai and Istanbul are replaced by [Jest](https://jestjs.io/).
- Dependencies are upgraded.
## 3.0.1 (2019-03-14)
- Unnecessary calculations in `sgp4` function are reduced (#47).
- `vkmpersec` calculation is moved to constants (#50).
- `degreesToRadians` function is used in docs instead of `deg2rad` constant (#53).
- Typos' fixes (#54).
## 3.0.0 (2018-11-26)
- Node.js 4 support is dropped (breaking change).
- Deprecated functions `gstimeFromJday` and `gstimeFromDate` are removed (breaking change).
- New transformation functions are added: `radiansToDegrees`, `degreesToRadians`, `radiansLat`, `radiansLong`.
## 2.0.3 (2018-09-15)
- `satrec` object is not cloned in `sgp4` and `sgp4init` functions due to [performance reasons](https://github.com/shashwatak/satellite-js/issues/45).
## 2.0.2 (2018-04-16)
- [Wrong predictions for Molniya 3-47 orbits](https://github.com/shashwatak/satellite-js/issues/43) are fixed. Special thanks to [@nhamer](https://github.com/nhamer).
## 2.0.1 (2018-03-01)
- `sgp4` function's call result is used in `sgp4init`.
- Longitude of `eciToGeodetic` result is in [-PI; PI] range now.
## 2.0.0 (2017-12-23)
- Library became ES and Common.js compatible.
- Source code is reorganized to match [original Python library](https://pypi.python.org/pypi/sgp4/).
- `degreesLat` and `degreesLong` don't adjust input radians value and throw `RangeError` if it's out of bounds (breaking change).
- `invjday` function is added.
- [Julian day calculations take account of milliseconds](https://github.com/shashwatak/satellite-js/issues/31)
([#38](https://github.com/shashwatak/satellite-js/pull/38)).
- [Incorrect position and velocity bug](https://github.com/shashwatak/satellite-js/issues/26) for times not close to TLE epoch is fixed ([#37](https://github.com/shashwatak/satellite-js/pull/37)).
- Continuous integration and test coverage are provided.
- [Bower support is dropped](https://github.com/shashwatak/satellite-js/issues/40).
node_modules/satellite.js/LICENSE.md
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MIT License
Copyright (C) 2013 Shashwat Kandadai, UCSC Jack Baskin School of Engineering
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
node_modules/satellite.js/ORIGINAL-PKG-INFO
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Metadata-Version: 1.0
Name: sgp4
Version: 1.1
Summary: Track earth satellite TLE orbits using up-to-date 2010 version of SGP4
Home-page: https://github.com/brandon-rhodes/python-sgp4
Author: Brandon Rhodes
Author-email: brandon@rhodesmill.org
License: MIT
Description:
This Python package computes the position and velocity of an
earth-orbiting satellite, given the satellite's TLE orbital elements
from a source like `Celestrak <http://celestrak.com/>`_. It implements
the most recent version of SGP4, and is regularly run against the SGP4
test suite to make sure that its satellite position predictions **agree
to within 1 µm** of the predictions of the standard C++ implementation
of the algorithm. This error is far less than the 1–3 km/day by which
satellites themselves deviate from the ideal orbits described in TLE
files.
The C++ function names have been retained, since users may already be
familiar with this library in other languages. Here is how to compute
the x,y,z position and velocity for Vanguard 1 at 12:50:19 on 29
June 2000:
>>> from sgp4.earth_gravity import wgs72
>>> from sgp4.io import twoline2rv
>>> line1 = ('1 00005U 58002B 00179.78495062 '
... '.00000023 00000-0 28098-4 0 4753')
>>> line2 = ('2 00005 34.2682 348.7242 1859667 '
... '331.7664 19.3264 10.82419157413667')
>>>
>>> satellite = twoline2rv(line1, line2, wgs72)
>>> position, velocity = satellite.propagate(
... 2000, 6, 29, 12, 50, 19)
>>>
>>> position
[5576.056952400586, -3999.371134576452, -1521.9571594376037]
>>> velocity
[4.772627303379319, 5.119817120959591, 4.275553909172126]
The position vector measures the satellite position in **meters** from
the center of the earth. The velocity is the rate at which those same
three parameters are changing, expressed in **meters per second**.
There are three gravity models available that you can import from the
``earth_gravity`` module:
* ``wgs72``
* ``wgs72old``
* ``wgs84``
The ``wgs72`` model seems to be the most commonly used in the satellite
tracking community, and is probably the model behind most TLE elements
that are available for download.
The ``twoline2rv()`` function returns a ``Satellite`` object whose
attributes carry the data loaded from the TLE entry.
Most of this class's hundred-plus attributes are intermediate values
of interest only to the propagation algorithm itself. Here are the
attributes set by ``sgp4.io.twoline2rv()`` in which users are likely
to be interested:
``satnum``
Unique satellite number given in the TLE file.
``epochyr``
Full four-digit year of this element set's epoch moment.
``epochdays``
Fractional days into the year of the epoch moment.
``jdsatepoch``
Julian date of the epoch (computed from ``epochyr`` and ``epochdays``).
``ndot``
First time derivative of the mean motion (ignored by SGP4).
``nddot``
Second time derivative of the mean motion (ignored by SGP4).
``bstar``
Ballistic drag coefficient B* in inverse earth radii.
``inclo``
Inclination in radians.
``nodeo``
Right ascension of ascending node in radians.
``ecco``
Eccentricity.
``argpo``
Argument of perigee in radians.
``mo``
Mean anomaly in radians.
``no``
Mean motion in radians per minute.
This implementation passes all of the automated tests in the August 2010
release of the reference implementation of SGP4 by Vallado et al., who
originally published their revision of SGP4 in 2006:
Vallado, David A., Paul Crawford, Richard Hujsak, and T.S. Kelso, “Revisiting Spacetrack Report #3,” presented at the AIAA/AAS Astrodynamics Specialist Conference, Keystone, CO, 2006 August 21–24.
If you would like to review the paper, it is `available online
<http://www.celestrak.com/publications/AIAA/2006-6753/>`_. You can
always download the latest version of their code for comparison against
this Python module (or other implementations) at `AIAA-2006-6753.zip
<http://www.celestrak.com/publications/AIAA/2006-6753/AIAA-2006-6753.zip>`_.
This module was adapted from Vallado's C++ code since its revision date
was the most recently updated SGP4 implementation in their zip file:
* C++, August 2010
* Fortran, August 2008
* Pascal, August 2008
* Matlab, May 2008
* Java, July 2005
Changelog
---------
| 2012-11-22 — 1.1 — Python 3 compatibility; more documentation
| 2012-08-27 — 1.0 — Initial release
Platform: UNKNOWN
Classifier: Development Status :: 5 - Production/Stable
Classifier: Intended Audience :: Science/Research
Classifier: License :: OSI Approved :: MIT License
Classifier: Programming Language :: Python :: 2
Classifier: Programming Language :: Python :: 2.6
Classifier: Programming Language :: Python :: 2.7
Classifier: Programming Language :: Python :: 3
Classifier: Programming Language :: Python :: 3.1
Classifier: Programming Language :: Python :: 3.2
Classifier: Topic :: Scientific/Engineering :: Astronomy
node_modules/satellite.js/README.md
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# satellite.js
[![NPM version](https://img.shields.io/npm/v/satellite.js.svg)](https://www.npmjs.com/package/satellite.js)
[![Downloads/month](https://img.shields.io/npm/dm/satellite.js.svg)](https://www.npmjs.com/package/satellite.js)
[![License](https://img.shields.io/github/license/mashape/apistatus.svg)](LICENSE.md)
## Introduction
A library to make satellite propagation via TLEs or [OMM](https://www.nasa.gov/wp-content/uploads/2017/12/orbit_data_messages.pdf)
possible in the web. Provides the functions necessary for SGP4/SDP4 calculations, as callable javascript. Also provides
functions for coordinate transforms.
The internals of this library are nearly identical to
[Brandon Rhode's sgp4 python library](https://pypi.python.org/pypi/sgp4/).
Special thanks to all contributors for improving usability and bug fixes :)
- [ezze (Dmitriy Pushkov)](https://github.com/ezze)
- [davidcalhoun (David Calhoun)](https://github.com/davidcalhoun)
- [tikhonovits (Nikos Sagias)](https://github.com/tikhonovits)
- [dangodev (Drew Powers)](https://github.com/dangodev)
- [thkruz (Theodore Kruczek)](https://github.com/thkruz)
- [bakercp (Christopher Baker)](https://github.com/bakercp)
- [kylegmaxwell (Kyle G. Maxwell)](https://github.com/kylegmaxwell)
- [iamthechad (Chad Johnston)](https://github.com/iamthechad)
- [drom (Aliaksei Chapyzhenka)](https://github.com/drom)
- [PeterDaveHello (Peter Dave Hello)](https://github.com/PeterDaveHello)
- [Alesha72003](https://github.com/Alesha72003)
- [nhamer](https://github.com/nhamer)
- [owntheweb](https://github.com/owntheweb)
- [Zigone](https://github.com/Zigone)
Sites using the library can be found [here](https://github.com/shashwatak/satellite-js/wiki/Sites-using-satellite.js).
## Installation
```bash
npm install satellite.js
```
```bash
yarn add satellite.js
```
## Usage
### ES Modules
```js
import { sgp4 } from 'satellite.js';
...
const positionAndVelocity = sgp4(satrec, time);
```
### Common.js ([Node.js](https://nodejs.org))
```js
const satellite = require('satellite.js');
...
const positionAndVelocity = satellite.sgp4(satrec, time);
```
### AMD ([Require.js](http://requirejs.org/))
```js
define(['path/to/dist/satellite'], function(satellite) {
...
var positionAndVelocity = satellite.sgp4(satrec, time);
});
```
### Script tag
Include `dist/satellite.min.js` as a script in your html:
```html
<script src="path/to/dist/satellite.min.js"></script>
```
`satellite` object will be available in global scope:
```js
const positionAndVelocity = satellite.sgp4(satrec, time);
```
## Sample Usage: calculate Look Angles, Geodetic Position etc
```js
// Sample TLE
const tleLine1 = '1 25544U 98067A 19156.50900463 .00003075 00000-0 59442-4 0 9992',
tleLine2 = '2 25544 51.6433 59.2583 0008217 16.4489 347.6017 15.51174618173442';
// Initialize a satellite record
const satrec = satellite.twoline2satrec(tleLine1, tleLine2);
// Or sample OMM - preferred for new applications
const omm = {
"OBJECT_NAME": "HELIOS 2A",
"OBJECT_ID": "2004-049A",
"EPOCH": "2025-03-26T05:19:34.116960",
"MEAN_MOTION": 15.00555103,
"ECCENTRICITY": 0.000583,
"INCLINATION": 98.3164,
"RA_OF_ASC_NODE": 103.8411,
"ARG_OF_PERICENTER": 20.5667,
"MEAN_ANOMALY": 339.5789,
"EPHEMERIS_TYPE": 0,
"CLASSIFICATION_TYPE": "U",
"NORAD_CAT_ID": 28492,
"ELEMENT_SET_NO": 999,
"REV_AT_EPOCH": 8655,
"BSTAR": 0.00048021,
"MEAN_MOTION_DOT": 0.00005995,
"MEAN_MOTION_DDOT": 0
};
const satrecFromOmm = satellite.json2satrec(omm);
// Propagate satellite using time since epoch (in minutes).
const positionAndVelocity = satellite.sgp4(satrec, timeSinceTleEpochMinutes);
// Or you can use a JavaScript Date
const positionAndVelocity = satellite.propagate(satrec, new Date());
// if the result is `null`, it means that the propagation failed;
// consult `satrec.error` property for a specific reason.
if (positionAndVelocity === null) {
switch (satrec.error) {
// all possible values are listed in SatRecError enum:
case satellite.SatRecError.Decayed:
console.log('The satellite has decayed')
// ...
}
}
// The positionAndVelocity result is a pair of ECI coordinates.
// These are the base results from which all other coordinates are derived.
const positionEci = positionAndVelocity.position,
velocityEci = positionAndVelocity.velocity;
// Set the Observer at 122.03 West by 36.96 North, in RADIANS
const observerGd = {
longitude: satellite.degreesToRadians(-122.0308),
latitude: satellite.degreesToRadians(36.9613422),
height: 0.370
};
// You will need GMST for some of the coordinate transforms.
// http://en.wikipedia.org/wiki/Sidereal_time#Definition
const gmst = satellite.gstime(new Date());
// You can get ECF, Geodetic, Look Angles, and Doppler Factor.
const positionEcf = satellite.eciToEcf(positionEci, gmst),
observerEcf = satellite.geodeticToEcf(observerGd),
positionGd = satellite.eciToGeodetic(positionEci, gmst),
lookAngles = satellite.ecfToLookAngles(observerGd, positionEcf),
dopplerFactor = satellite.dopplerFactor(observerCoordsEcf, positionEcf, velocityEcf);
// The coordinates are all stored in key-value pairs.
// ECI and ECF are accessed by `x`, `y`, `z` properties.
const satelliteX = positionEci.x,
satelliteY = positionEci.y,
satelliteZ = positionEci.z;
// Look Angles may be accessed by `azimuth`, `elevation`, `rangeSat` properties.
const azimuth = lookAngles.azimuth,
elevation = lookAngles.elevation,
rangeSat = lookAngles.rangeSat;
// Geodetic coords are accessed via `longitude`, `latitude`, `height`.
const longitude = positionGd.longitude,
latitude = positionGd.latitude,
height = positionGd.height;
// Convert the RADIANS to DEGREES.
const longitudeDeg = satellite.degreesLong(longitude),
latitudeDeg = satellite.degreesLat(latitude);
```
## Resources
- [TS Kelso's Columns for Satellite Times](http://celestrak.com/columns/), Orbital Propagation Parts I and II a must!
- [Wikipedia: Simplified Perturbations Model](http://en.wikipedia.org/wiki/Simplified_perturbations_models)
- [SpaceTrack Report #3, by Hoots and Roehrich](http://celestrak.com/NORAD/documentation/spacetrk.pdf).
The TypeScript in this library is heavily based (propagation procedures straight copied) from:
- The python [sgp4 1.1 by Brandon Rhodes](https://pypi.python.org/pypi/sgp4/)
- The C++ code by [David Vallado, et al](http://www.celestrak.com/publications/AIAA/2006-6753/)
The original PKG-INFO file from the python library is included.
The coordinate transforms are based off T.S. Kelso's columns:
- [Part I](http://celestrak.com/columns/v02n01/)
- [Part II](http://celestrak.com/columns/v02n02/)
- [Part III](http://celestrak.com/columns/v02n03/)
And the coursework for UC Boulder's ASEN students
- [Coodinate Transforms @ UC Boulder](http://ccar.colorado.edu/ASEN5070/handouts/coordsys.doc)
I would recommend anybody interested in satellite tracking or orbital propagation to read
[all of TS Kelso's columns](http://celestrak.com/columns/). Without his work, this project would not be possible.
Get a free [Space Track account](https://www.space-track.org/auth/login) and download your own up to date TLEs or OMM
for use with this library.
## Exposed Objects
### SatRec
The `SatRec` object comes from the original code by Rhodes as well as Vallado. It is immense and complex, but the
most important values it contains are the Keplerian Elements and the other values pulled from the TLE/OMM. I do not
suggest that anybody try to simplify it unless they have absolute understanding of Orbital Mechanics.
- `satnum` Unique satellite number given in the TLE file.
- `epochyr` Full four-digit year of this element set's epoch moment.
- `epochdays` Fractional days into the year of the epoch moment.
- `jdsatepoch` Julian date of the epoch (computed from `epochyr` and `epochdays`).
- `ndot` First time derivative of the mean motion (ignored by SGP4).
- `nddot` Second time derivative of the mean motion (ignored by SGP4).
- `bstar` Ballistic drag coefficient B* in inverse earth radii.
- `inclo` Inclination in radians.
- `nodeo` Right ascension of ascending node in radians.
- `ecco` Eccentricity.
- `argpo` Argument of perigee in radians.
- `mo` Mean anomaly in radians.
- `no` Mean motion in radians per minute.
- `error` The error code that is set by SGP4 model in case when propagation fails.
### SatRecError
The enum that lists all possible error codes in `SatRec.error property:
- `None` - No error, propagation for the last supplied date is successful
- `MeanEccentricityOutOfRange` - Mean eccentricity is out of range 0 ≤ e < 1
- `MeanMotionBelowZero` - Mean motion has fallen below zero
- `PerturbedEccentricityOutOfRange` - Perturbed eccentricity is out of range 0 ≤ e < 1
- `SemiLatusRectumBelowZero` - Length of the orbit’s semi-latus rectum has fallen below zero
- `Decayed` - Orbit has decayed: the computed position is underground
## Exposed Functions
### Initialization
NOTE! You are responsible for providing OMM or TLE.
[Get your free Space Track account here.](https://www.space-track.org/auth/login)
If you use Space Track, there should be no problem.
#### From OMM (preferred for new applications)
```js
const satrec = satellite.json2satrec(ommObject);
```
returns satrec object, created from JSON object that follows
[OMM format](https://www.nasa.gov/wp-content/uploads/2017/12/orbit_data_messages.pdf).
**OMM is a preferred default method for new applications**, since TLE format is constrained
to 5 digits in NORAD section and the number of catalogued objects quickly approches 100 000.
To obtain OMM as JSON from Celestrak, select "JSON" option at the top of "Current GP
Element Sets" page or follow
[this link](https://celestrak.org/NORAD/elements/index.php?FORMAT=json) where it will
be already selected.
Space-Track doesn't expose the JSON format in their UI, so to get JSON encoded OMM,
on "Recent ELSETs" page, from "Current Catalog Files", copy a URL for the needed category
and change the ending part of the URL from `/format/xml` to be `/format/json`.
#### From TLE
```js
const satrec = satellite.twoline2satrec(longstr1, longstr2);
```
returns satrec object, created from the TLEs passed in. longstr1 and longstr2 are the two lines of the TLE,
properly formatted by NASA and NORAD standards.
___
The satrec object is vastly complicated, but you don't have to do anything with it, except pass it around.
### Propagation
Both `propagate()` and `sgp4()` functions return position and velocity; as well as mean elements:
```json
{
"position": { "x" : 1, "y" : 1, "z" : 1 },
"velocity": { "x" : 1, "y" : 1, "z" : 1 },
"meanElements": {
"Om": 2.2835713400168607,
"am": 1.3043985097733939,
"em": 0.166565,
"im": 0.5743651675510579,
"mm": -4.361270622785478,
"nm": 0.049918822378349076,
"om": 4.074394344293675,
}
}
```
position is in km, velocity is in km/s, both the ECI coordinate frame. Mean elements are satellite orbit elements as they
evolved at the propagation date: `am` (semi-major axis, Earth radii), `em` (eccentricity), `im` (inclination, radians),
`Om` (right ascension of ascending node, radians), `om` (argument of perigee, radians),
`nm` (mean motion, radians per minute).
```js
const positionAndVelocity = satellite.propagate(satrec, new Date());
```
Returns position and velocity, given a satrec and the calendar date. Is merely a wrapper for `sgp4()`, converts the
calendar day to Julian time since satellite epoch. Sometimes it's better to ask for position and velocity given
a specific date.
```js
const positionAndVelocity = satellite.sgp4(satrec, timeSinceTleEpochMinutes);
```
Returns position and velocity, given a satrec and the time in minutes since epoch. Sometimes it's better to ask for
position and velocity given the time elapsed since epoch.
### Doppler
You can get the satellites current Doppler factor, relative to your position, using the `dopplerFactor()` function.
Use either ECI or ECF coordinates, but don't mix them.
```js
const dopplerFactor = satellite.dopplerFactor(observer, position, velocity);
```
See the section on Coordinate Transforms to see how to get ECF/ECI/Geodetic coordinates.
### Coordinate Transforms
#### Greenwich Mean Sidereal Time
You'll need to provide some of the coordinate transform functions with your current GMST aka GSTIME. You can use
Julian Day:
```js
const gmst = satellite.gstime(julianDay);
```
or a JavaScript Date:
```js
const gmst = satellite.gstime(new Date());
```
#### Transforms
Most of these are self explanatory from their names. Coords are arrays of three floats EX: [1.1, 1.2, 1.3] in
kilometers. Once again, read the following first.
The coordinate transforms are based off T.S. Kelso's columns:
* [Part I](http://celestrak.com/columns/v02n01/)
* [Part II](http://celestrak.com/columns/v02n02/)
* [Part III](http://celestrak.com/columns/v02n03/)
And the coursework for UC Boulder's ASEN students
* [Coodinate Transforms @ UC Boulder](http://ccar.colorado.edu/ASEN5070/handouts/coordsys.doc)
These four are used to convert between ECI, ECF, and Geodetic, as you need them. ECI and ECF coordinates are in
km or km/s. Geodetic coords are in radians.
```js
const ecfCoords = satellite.eciToEcf(eciCoords, gmst);
```
```js
const eciCoords = satellite.ecfToEci(ecfCoords, gmst);
```
```js
const geodeticCoords = satellite.eciToGeodetic(eciCoords, gmst);
```
```js
const ecfCoords = satellite.geodeticToEcf(geodeticCoords);
```
These function is used to compute the look angle, from your geodetic position to a satellite in ECF coordinates.
Make sure you convert the ECI output from sgp4() and propagate() to ECF first.
```js
const lookAngles = satellite.ecfToLookAngles(observerGeodetic, satelliteEcf);
```
#### Latitude and Longitude
These two functions will return human readable Latitude or Longitude strings (Ex: "125.35W" or "45.565N")
from `geodeticCoords`:
```js
const latitudeStr = satellite.degreesLat(geodeticRadians),
longitudeStr = satellite.degreesLong(geodeticRadians);
```
#### Sun position
This function returns Sun position at the given date. This is useful to further calculate if a given satellite
is in Earth umbra. Position is returned as geocentric equatorial vector pointing at the sun,
along with Right Ascension and Declination. This is the low precision formula and is valid for years from 1950
to 2050. Accuracy of apparent coordinates is 0.01 degrees.
```js
const jday = satellite.jday(new Date())
const sunPosition = satellite.sunPos(jday)
{
rsun: [1, 1, 1], // x, y, z; astronomical units
rtasc: 0.5, // radians
decl: 0.5 // radians
}
```
## Contributing
This repo follows [Gitflow Workflow](https://www.atlassian.com/git/tutorials/comparing-workflows/gitflow-workflow).
Before starting a work on new [pull request](https://github.com/shashwatak/satellite-js/compare), please, checkout your
feature or bugfix branch from `develop` branch:
```bash
git checkout develop
git fetch origin
git merge origin/develop
git checkout -b my-feature
```
Make sure that your changes don't break the existing code by running
```bash
npm test
```
and that your code follows [Airbnb](https://www.npmjs.com/package/eslint-config-airbnb-base) style
```bash
npm run lint
npm run lint:test
```
Implementing new functions or features, please, if possible, provide tests to cover them and mention your works in
[Changelog](CHANGELOG.md). Please don't change version number in `package.json` and don't add it to `CHANGELOG.md`.
All these things should be done later with [raise-version](https://github.com/ezze/node-raise-version) when
merging to `master`:
```bash
npm run raise major
```
or
```bash
npm run raise minor
```
or
```bash
npm run raise patch
```
In order to get test code coverage run the following:
```bash
npm run test:coverage
```
## Building
The source code is written in [TypeScript](https://www.typescriptlang.org/) and uses a strict tsconfig.
In order to build the library follow these steps:
- install [Node.js](https://nodejs.org/) and [Node Package Manager](https://www.npmjs.com/);
- install all required packages with NPM by running the following command from repository's root directory:
```bash
npm install
```
- run the following NPM script to build everything:
```bash
npm run build
```
- run the following NPM script to run test specs `test/*.spec.js` files with [Mocha](https://mochajs.org/):
```bash
npm test
```
These is a full list of all available NPM scripts:
- `build` builds everything;
- `transpile` transpiles ES source files located in `src` directory to Common.js compatible modules and saves
the resulting files in `lib` directory;
- `dist` builds ES and UMD modules in `dist` directory;
- `dist:es` builds ES module in `dist` directory;
- `dist:umd` builds [UMD](https://github.com/umdjs/umd) module in `dist` directory (both non-compressed and
compressed versions);
- `dist:umd:dev` builds non-compressed version of UMD module in `dist` directory;
- `dist:umd:prod` builds compressed version of UMD module in `dist` directory;
- `watch:es` watches for changes in `src` directory and automatically rebuilds ES module;
- `copy` copies built library from `dist` to [SGP4 verification](#benchmarking) application's directory;
- `lint` lints sources code located in `src` directory with [ESLint](http://eslint.org/) with
[Airbnb shared configuration]((https://www.npmjs.com/package/eslint-config-airbnb));
- `lint:test` lints tests located in `test` directory with ESLint;
- `test` runs tests;
- `test:coverage` runs tests with [Istanbul](https://github.com/gotwarlost/istanbul) coverage summary;
## ES5 and satellite.min.js
Only the "src" directory is included in the Git repository, "dist" and "lib" directories are ignored. It's done intentionally to retain the size of the repository as small as possible. A full detailed explanation of why is located [here](https://github.com/shashwatak/satellite-js/issues/80#issuecomment-749225324).
You should install satellite.js with your package manager (npm or yarn) and then find satellite.js and satellite.min.js in node_modules/satellite.js/dist directory.
## Note about Code Conventions
Like Brandon Rhodes before me, I chose to maintain as little difference between this implementation and the prior
works. This is to make adapting future changes suggested by Vallado much simpler. Thus, some of the conventions
used in this library are very weird.
## How this was written
I took advantage of the fact that Python and JavaScript are nearly semantically identical. Most of the code is
just copied straight from Python. Brandon Rhodes did me the favor of including semi-colons on most of the lines of
code. JavaScript doesn't support multiple values returned per statement, so I had to rewrite the function calls.
Absolutely none of the mathematical logic had to be rewritten.
## Benchmarking
I've included a small testing app, that provides some benchmarking tools and verifies SGP4 and SDP4 using the
Test Criteria provided by SpaceTrack Report #3, and is based off
[System Benchmarking](http://celestrak.com/columns/v02n04/) by TS Kelso.
The testing app is a Chrome Packaged App that uses the `angular.js` framework.
Before running the app build the library and copy resulting files from `dist` directory to app's directory with
the following command:
```bash
npm run copy
```
To run the test, open up Chrome, go to the extensions page, and check "Developer Mode". Then, click "Load Unpacked App",
and select the `sgp4_verification` folder. Then run the app from within Chrome. The test file is located within
the `sgp4_verification` directory, as a JSON file called `spacetrack-report-3.json`.
## Acknowledgments
Major thanks go to Brandon Rhodes, TS Kelso, and David Vallado's team. Also, I'd like to thank Professor Steve
Petersen (AC6P) of UCSC for pointing me in the correct directions.
## License
All files marked with the License header at the top are Licensed. Any files unmarked by me or others are
unlicensed, and are kept only as a resource for [Shashwat Kandadai and other developers] for testing.
I chose the [MIT License](LICENSE.md) because this library is a derivative work off
[Brandon Rhodes sgp4](https://pypi.python.org/pypi/sgp4/), and that is licensed with MIT.
I worked in the Dining Hall at UCSC for a month, which means I signed a form that gives UCSC partial ownership of
anything I make while under their aegis, so I included them as owners of the copyright.
Please email all complaints to help@ucsc.edu
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import eslint from '@eslint/js';
import tseslint from 'typescript-eslint';
export default tseslint.config(
eslint.configs.recommended,
tseslint.configs.strict,
tseslint.configs.stylistic,
{
languageOptions: {
parserOptions: {
projectService: true,
tsconfigRootDir: import.meta.dirname,
},
},
},
{
ignores: ['/dist', '/lib', '*.mjs']
},
{
rules: {
'@typescript-eslint/unified-signatures': ['error', {
'ignoreDifferentlyNamedParameters': true
}],
// since much of the propagation code is built on loops and if statements,
// and typescript doesn't follow when a variable is assigned there,
// this rule is disabled
'@typescript-eslint/no-non-null-assertion': 'off'
}
}
);
node_modules/satellite.js/lib/common-types.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
node_modules/satellite.js/lib/constants.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports.xpdotp = exports.xke = exports.x2o3 = exports.vkmpersec = exports.twoPi = exports.tumin = exports.rad2deg = exports.pi = exports.mu = exports.minutesPerDay = exports.j4 = exports.j3oj2 = exports.j3 = exports.j2 = exports.earthRadius = exports.deg2rad = void 0;
var pi = exports.pi = Math.PI;
var twoPi = exports.twoPi = pi * 2;
var deg2rad = exports.deg2rad = pi / 180.0;
var rad2deg = exports.rad2deg = 180 / pi;
var minutesPerDay = exports.minutesPerDay = 1440.0;
var mu = exports.mu = 398600.8; // in km3 / s2
var earthRadius = exports.earthRadius = 6378.135; // in km
var xke = exports.xke = 60.0 / Math.sqrt(earthRadius * earthRadius * earthRadius / mu);
var vkmpersec = exports.vkmpersec = earthRadius * xke / 60.0;
var tumin = exports.tumin = 1.0 / xke;
var j2 = exports.j2 = 0.001082616;
var j3 = exports.j3 = -0.00000253881;
var j4 = exports.j4 = -0.00000165597;
var j3oj2 = exports.j3oj2 = j3 / j2;
var x2o3 = exports.x2o3 = 2.0 / 3.0;
var xpdotp = exports.xpdotp = 1440.0 / (2.0 * pi); // 229.1831180523293;
node_modules/satellite.js/lib/dopplerFactor.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports["default"] = dopplerFactor;
var earthRotation = 7.292115E-5;
var c = 299792.458; // Speed of light in km/s
/**
* Negative range rate means the satellite is moving towards the observer and
* its frequency is shifted higher because 1 minus a negative range rate is
* positive. If the range rate is positive, the satellite is moving away from
* the observer and its frequency is shifted lower.
*/
function dopplerFactor(observerCoordsEcf, positionEcf, velocityEcf) {
var rangeX = positionEcf.x - observerCoordsEcf.x;
var rangeY = positionEcf.y - observerCoordsEcf.y;
var rangeZ = positionEcf.z - observerCoordsEcf.z;
var length = Math.sqrt(Math.pow(rangeX, 2) + Math.pow(rangeY, 2) + Math.pow(rangeZ, 2));
var rangeVel = {
x: velocityEcf.x + earthRotation * observerCoordsEcf.y,
y: velocityEcf.y - earthRotation * observerCoordsEcf.x,
z: velocityEcf.z
};
var rangeRate = (rangeX * rangeVel.x + rangeY * rangeVel.y + rangeZ * rangeVel.z) / length;
return 1 - rangeRate / c;
}
node_modules/satellite.js/lib/ext.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports.days2mdhms = days2mdhms;
exports.invjday = invjday;
exports.jday = jday;
/* -----------------------------------------------------------------------------
*
* procedure days2mdhms
*
* this procedure converts the day of the year, days, to the equivalent month
* day, hour, minute and second.
*
* algorithm : set up array for the number of days per month
* find leap year - use 1900 because 2000 is a leap year
* loop through a temp value while the value is < the days
* perform int conversions to the correct day and month
* convert remainder into h m s using type conversions
*
* author : david vallado 719-573-2600 1 mar 2001
*
* inputs description range / units
* year - year 1900 .. 2100
* days - julian day of the year 0.0 .. 366.0
*
* outputs :
* mon - month 1 .. 12
* day - day 1 .. 28,29,30,31
* hr - hour 0 .. 23
* min - minute 0 .. 59
* sec - second 0.0 .. 59.999
*
* locals :
* dayofyr - day of year
* temp - temporary extended values
* inttemp - temporary int value
* i - index
* lmonth[12] - int array containing the number of days per month
*
* coupling :
* none.
* --------------------------------------------------------------------------- */
function days2mdhms(year, days) {
var lmonth = [31, year % 4 === 0 ? 29 : 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31];
var dayofyr = Math.floor(days);
// ----------------- find month and day of month ----------------
var i = 1;
var inttemp = 0;
// i starts from 1 so no null check is needed
while (dayofyr > inttemp + lmonth[i - 1] && i < 12) {
inttemp += lmonth[i - 1];
i += 1;
}
var mon = i;
var day = dayofyr - inttemp;
// ----------------- find hours minutes and seconds -------------
var temp = (days - dayofyr) * 24.0;
var hr = Math.floor(temp);
temp = (temp - hr) * 60.0;
var minute = Math.floor(temp);
var sec = (temp - minute) * 60.0;
return {
mon: mon,
day: day,
hr: hr,
minute: minute,
sec: sec
};
}
/* -----------------------------------------------------------------------------
*
* procedure jday
*
* this procedure finds the julian date given the year, month, day, and time.
* the julian date is defined by each elapsed day since noon, jan 1, 4713 bc.
*
* algorithm : calculate the answer in one step for efficiency
*
* author : david vallado 719-573-2600 1 mar 2001
*
* inputs description range / units
* year - year 1900 .. 2100
* mon - month 1 .. 12
* day - day 1 .. 28,29,30,31
* hr - universal time hour 0 .. 23
* min - universal time min 0 .. 59
* sec - universal time sec 0.0 .. 59.999
*
* outputs :
* jd - julian date days from 4713 bc
*
* locals :
* none.
*
* coupling :
* none.
*
* references :
* vallado 2007, 189, alg 14, ex 3-14
*
* --------------------------------------------------------------------------- */
function jdayInternal(year, mon, day, hr, minute, sec) {
var msec = arguments.length > 6 && arguments[6] !== undefined ? arguments[6] : 0;
return 367.0 * year - Math.floor(7 * (year + Math.floor((mon + 9) / 12.0)) * 0.25) + Math.floor(275 * mon / 9.0) + day + 1721013.5 + ((msec / 60000 + sec / 60.0 + minute) / 60.0 + hr) / 24.0 // ut in days
// # - 0.5*sgn(100.0*year + mon - 190002.5) + 0.5;
;
}
function jday(yearOrDate, mon, day, hr, minute, sec) {
var msec = arguments.length > 6 && arguments[6] !== undefined ? arguments[6] : 0;
if (yearOrDate instanceof Date) {
var date = yearOrDate;
return jdayInternal(date.getUTCFullYear(), date.getUTCMonth() + 1,
// Note, this function requires months in range 1-12.
date.getUTCDate(), date.getUTCHours(), date.getUTCMinutes(), date.getUTCSeconds(), date.getUTCMilliseconds());
}
return jdayInternal(yearOrDate, mon, day, hr, minute, sec, msec);
}
function invjday(jd, asArray) {
// --------------- find year and days of the year -
var temp = jd - 2415019.5;
var tu = temp / 365.25;
var year = 1900 + Math.floor(tu);
var leapyrs = Math.floor((year - 1901) * 0.25);
// optional nudge by 8.64x10-7 sec to get even outputs
var days = temp - ((year - 1900) * 365.0 + leapyrs) + 0.00000000001;
// ------------ check for case of beginning of a year -----------
if (days < 1.0) {
year -= 1;
leapyrs = Math.floor((year - 1901) * 0.25);
days = temp - ((year - 1900) * 365.0 + leapyrs);
}
// ----------------- find remaing data -------------------------
var mdhms = days2mdhms(year, days);
var mon = mdhms.mon,
day = mdhms.day,
hr = mdhms.hr,
minute = mdhms.minute;
var sec = mdhms.sec - 0.00000086400;
if (asArray) {
return [year, mon, day, hr, minute, Math.floor(sec)];
}
return new Date(Date.UTC(year, mon - 1, day, hr, minute, Math.floor(sec)));
}
node_modules/satellite.js/lib/index.js
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"use strict";
function _typeof(o) { "@babel/helpers - typeof"; return _typeof = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (o) { return typeof o; } : function (o) { return o && "function" == typeof Symbol && o.constructor === Symbol && o !== Symbol.prototype ? "symbol" : typeof o; }, _typeof(o); }
Object.defineProperty(exports, "__esModule", {
value: true
});
var _exportNames = {
constants: true,
jday: true,
invjday: true,
twoline2satrec: true,
json2satrec: true,
propagate: true,
sgp4: true,
gstime: true,
dopplerFactor: true,
radiansToDegrees: true,
degreesToRadians: true,
degreesLat: true,
degreesLong: true,
radiansLat: true,
radiansLong: true,
geodeticToEcf: true,
eciToGeodetic: true,
eciToEcf: true,
ecfToEci: true,
ecfToLookAngles: true,
sunPos: true,
SatRecError: true
};
Object.defineProperty(exports, "SatRecError", {
enumerable: true,
get: function get() {
return _SatRec.SatRecError;
}
});
exports.constants = void 0;
Object.defineProperty(exports, "degreesLat", {
enumerable: true,
get: function get() {
return _transforms.degreesLat;
}
});
Object.defineProperty(exports, "degreesLong", {
enumerable: true,
get: function get() {
return _transforms.degreesLong;
}
});
Object.defineProperty(exports, "degreesToRadians", {
enumerable: true,
get: function get() {
return _transforms.degreesToRadians;
}
});
Object.defineProperty(exports, "dopplerFactor", {
enumerable: true,
get: function get() {
return _dopplerFactor["default"];
}
});
Object.defineProperty(exports, "ecfToEci", {
enumerable: true,
get: function get() {
return _transforms.ecfToEci;
}
});
Object.defineProperty(exports, "ecfToLookAngles", {
enumerable: true,
get: function get() {
return _transforms.ecfToLookAngles;
}
});
Object.defineProperty(exports, "eciToEcf", {
enumerable: true,
get: function get() {
return _transforms.eciToEcf;
}
});
Object.defineProperty(exports, "eciToGeodetic", {
enumerable: true,
get: function get() {
return _transforms.eciToGeodetic;
}
});
Object.defineProperty(exports, "geodeticToEcf", {
enumerable: true,
get: function get() {
return _transforms.geodeticToEcf;
}
});
Object.defineProperty(exports, "gstime", {
enumerable: true,
get: function get() {
return _propagation.gstime;
}
});
Object.defineProperty(exports, "invjday", {
enumerable: true,
get: function get() {
return _ext.invjday;
}
});
Object.defineProperty(exports, "jday", {
enumerable: true,
get: function get() {
return _ext.jday;
}
});
Object.defineProperty(exports, "json2satrec", {
enumerable: true,
get: function get() {
return _io.json2satrec;
}
});
Object.defineProperty(exports, "propagate", {
enumerable: true,
get: function get() {
return _propagation.propagate;
}
});
Object.defineProperty(exports, "radiansLat", {
enumerable: true,
get: function get() {
return _transforms.radiansLat;
}
});
Object.defineProperty(exports, "radiansLong", {
enumerable: true,
get: function get() {
return _transforms.radiansLong;
}
});
Object.defineProperty(exports, "radiansToDegrees", {
enumerable: true,
get: function get() {
return _transforms.radiansToDegrees;
}
});
Object.defineProperty(exports, "sgp4", {
enumerable: true,
get: function get() {
return _propagation.sgp4;
}
});
Object.defineProperty(exports, "sunPos", {
enumerable: true,
get: function get() {
return _sun.sunPos;
}
});
Object.defineProperty(exports, "twoline2satrec", {
enumerable: true,
get: function get() {
return _io.twoline2satrec;
}
});
var constants_1 = _interopRequireWildcard(require("./constants"));
exports.constants = constants_1;
var _ext = require("./ext");
var _io = require("./io");
var _propagation = require("./propagation");
var _dopplerFactor = _interopRequireDefault(require("./dopplerFactor"));
var _transforms = require("./transforms");
var _sun = require("./sun");
var _SatRec = require("./propagation/SatRec.js");
var _commonTypes = require("./common-types.js");
Object.keys(_commonTypes).forEach(function (key) {
if (key === "default" || key === "__esModule") return;
if (Object.prototype.hasOwnProperty.call(_exportNames, key)) return;
if (key in exports && exports[key] === _commonTypes[key]) return;
Object.defineProperty(exports, key, {
enumerable: true,
get: function get() {
return _commonTypes[key];
}
});
});
function _interopRequireDefault(e) { return e && e.__esModule ? e : { "default": e }; }
function _getRequireWildcardCache(e) { if ("function" != typeof WeakMap) return null; var r = new WeakMap(), t = new WeakMap(); return (_getRequireWildcardCache = function _getRequireWildcardCache(e) { return e ? t : r; })(e); }
function _interopRequireWildcard(e, r) { if (!r && e && e.__esModule) return e; if (null === e || "object" != _typeof(e) && "function" != typeof e) return { "default": e }; var t = _getRequireWildcardCache(r); if (t && t.has(e)) return t.get(e); var n = { __proto__: null }, a = Object.defineProperty && Object.getOwnPropertyDescriptor; for (var u in e) if ("default" !== u && {}.hasOwnProperty.call(e, u)) { var i = a ? Object.getOwnPropertyDescriptor(e, u) : null; i && (i.get || i.set) ? Object.defineProperty(n, u, i) : n[u] = e[u]; } return n["default"] = e, t && t.set(e, n), n; }
node_modules/satellite.js/lib/indexUmd.js
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"use strict";
function _typeof(o) { "@babel/helpers - typeof"; return _typeof = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (o) { return typeof o; } : function (o) { return o && "function" == typeof Symbol && o.constructor === Symbol && o !== Symbol.prototype ? "symbol" : typeof o; }, _typeof(o); }
Object.defineProperty(exports, "__esModule", {
value: true
});
exports["default"] = void 0;
var constants = _interopRequireWildcard(require("./constants"));
var _ext = require("./ext");
var _io = require("./io");
var _propagation = require("./propagation");
var _SatRec = require("./propagation/SatRec.js");
var types = _interopRequireWildcard(require("./common-types.js"));
var _dopplerFactor = _interopRequireDefault(require("./dopplerFactor"));
var _transforms = require("./transforms");
var _sun = require("./sun");
function _interopRequireDefault(e) { return e && e.__esModule ? e : { "default": e }; }
function _getRequireWildcardCache(e) { if ("function" != typeof WeakMap) return null; var r = new WeakMap(), t = new WeakMap(); return (_getRequireWildcardCache = function _getRequireWildcardCache(e) { return e ? t : r; })(e); }
function _interopRequireWildcard(e, r) { if (!r && e && e.__esModule) return e; if (null === e || "object" != _typeof(e) && "function" != typeof e) return { "default": e }; var t = _getRequireWildcardCache(r); if (t && t.has(e)) return t.get(e); var n = { __proto__: null }, a = Object.defineProperty && Object.getOwnPropertyDescriptor; for (var u in e) if ("default" !== u && {}.hasOwnProperty.call(e, u)) { var i = a ? Object.getOwnPropertyDescriptor(e, u) : null; i && (i.get || i.set) ? Object.defineProperty(n, u, i) : n[u] = e[u]; } return n["default"] = e, t && t.set(e, n), n; }
var _default = exports["default"] = Object.assign(Object.assign({
constants: constants,
// Propagation
propagate: _propagation.propagate,
sgp4: _propagation.sgp4,
twoline2satrec: _io.twoline2satrec,
json2satrec: _io.json2satrec,
gstime: _propagation.gstime,
jday: _ext.jday,
invjday: _ext.invjday,
dopplerFactor: _dopplerFactor["default"],
// Coordinate transforms
radiansToDegrees: _transforms.radiansToDegrees,
degreesToRadians: _transforms.degreesToRadians,
degreesLat: _transforms.degreesLat,
degreesLong: _transforms.degreesLong,
radiansLat: _transforms.radiansLat,
radiansLong: _transforms.radiansLong,
geodeticToEcf: _transforms.geodeticToEcf,
eciToGeodetic: _transforms.eciToGeodetic,
eciToEcf: _transforms.eciToEcf,
ecfToEci: _transforms.ecfToEci,
ecfToLookAngles: _transforms.ecfToLookAngles,
// Sun Position
sunPos: _sun.sunPos
}, types), {
SatRecError: _SatRec.SatRecError
});
node_modules/satellite.js/lib/io.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports.json2satrec = json2satrec;
exports.twoline2satrec = twoline2satrec;
var _constants = require("./constants");
var _ext = require("./ext");
var _sgp4init = _interopRequireDefault(require("./propagation/sgp4init"));
function _interopRequireDefault(e) { return e && e.__esModule ? e : { "default": e }; }
/* -----------------------------------------------------------------------------
*
* function twoline2satrec
*
* this function converts the two line element set character string data to
* variables and initializes the sgp4 variables. several intermediate varaibles
* and quantities are determined. note that the result is a structure so multiple
* satellites can be processed simultaneously without having to reinitialize. the
* verification mode is an important option that permits quick checks of any
* changes to the underlying technical theory. this option works using a
* modified tle file in which the start, stop, and delta time values are
* included at the end of the second line of data. this only works with the
* verification mode. the catalog mode simply propagates from -1440 to 1440 min
* from epoch and is useful when performing entire catalog runs.
*
* author : david vallado 719-573-2600 1 mar 2001
*
* inputs :
* longstr1 - first line of the tle
* longstr2 - second line of the tle
* typerun - type of run verification 'v', catalog 'c',
* manual 'm'
* typeinput - type of manual input mfe 'm', epoch 'e', dayofyr 'd'
* opsmode - mode of operation afspc or improved 'a', 'i'
* whichconst - which set of constants to use 72, 84
*
* outputs :
* satrec - structure containing all the sgp4 satellite information
*
* coupling :
* getgravconst-
* days2mdhms - conversion of days to month, day, hour, minute, second
* jday - convert day month year hour minute second into julian date
* sgp4init - initialize the sgp4 variables
*
* references :
* norad spacetrack report #3
* vallado, crawford, hujsak, kelso 2006
--------------------------------------------------------------------------- */
/**
* Return a Satellite imported from two lines of TLE data.
*
* Provide the two TLE lines as strings `tleLine1` and `tleLine2`,
* and select which standard set of gravitational constants you want
* by providing `gravity_constants`:
*
* `sgp4.propagation.wgs72` - Standard WGS 72 model
* `sgp4.propagation.wgs84` - More recent WGS 84 model
* `sgp4.propagation.wgs72old` - Legacy support for old SGP4 behavior
*
* Normally, computations are made using letious recent improvements
* to the algorithm. If you want to turn some of these off and go
* back into "afspc" mode, then set `afspc_mode` to `True`.
*/
function twoline2satrec(longstr1, longstr2) {
var opsmode = 'i';
var error = 0;
var satnum = longstr1.substring(2, 7);
var epochyr = parseInt(longstr1.substring(18, 20), 10);
var epochdays = parseFloat(longstr1.substring(20, 32));
var ndot = parseFloat(longstr1.substring(33, 43));
var nddot = parseFloat("".concat(longstr1.substring(44, 45), ".").concat(longstr1.substring(45, 50), "E").concat(longstr1.substring(50, 52)));
var bstar = parseFloat("".concat(longstr1.substring(53, 54), ".").concat(longstr1.substring(54, 59), "E").concat(longstr1.substring(59, 61)));
// satrec.satnum = longstr2.substring(2, 7);
// ---- find standard orbital elements ----
var inclo = parseFloat(longstr2.substring(8, 16)) * _constants.deg2rad;
var nodeo = parseFloat(longstr2.substring(17, 25)) * _constants.deg2rad;
var ecco = parseFloat(".".concat(longstr2.substring(26, 33).replace(/\s/g, '0')));
var argpo = parseFloat(longstr2.substring(34, 42)) * _constants.deg2rad;
var mo = parseFloat(longstr2.substring(43, 51)) * _constants.deg2rad;
// ---- find no, ndot, nddot ----
var no = parseFloat(longstr2.substring(52, 63)) / _constants.xpdotp;
// satrec.nddot= satrec.nddot * Math.pow(10.0, nexp);
// satrec.bstar= satrec.bstar * Math.pow(10.0, ibexp);
// ---- convert to sgp4 units ----
// satrec.ndot /= (xpdotp * 1440.0); // ? * minperday
// satrec.nddot /= (xpdotp * 1440.0 * 1440);
// ----------------------------------------------------------------
// find sgp4epoch time of element set
// remember that sgp4 uses units of days from 0 jan 1950 (sgp4epoch)
// and minutes from the epoch (time)
// ----------------------------------------------------------------
// ---------------- temp fix for years from 1957-2056 -------------------
// --------- correct fix will occur when year is 4-digit in tle ---------
var year = epochyr < 57 ? epochyr + 2000 : epochyr + 1900;
var mdhmsResult = (0, _ext.days2mdhms)(year, epochdays);
var mon = mdhmsResult.mon,
day = mdhmsResult.day,
hr = mdhmsResult.hr,
minute = mdhmsResult.minute,
sec = mdhmsResult.sec;
var jdsatepoch = (0, _ext.jday)(year, mon, day, hr, minute, sec);
var satrec = {
error: error,
satnum: satnum,
epochyr: epochyr,
epochdays: epochdays,
ndot: ndot,
nddot: nddot,
bstar: bstar,
inclo: inclo,
nodeo: nodeo,
ecco: ecco,
argpo: argpo,
mo: mo,
no: no,
jdsatepoch: jdsatepoch
};
// ---------------- initialize the orbit at sgp4epoch -------------------
(0, _sgp4init["default"])(satrec, {
opsmode: opsmode,
satn: satrec.satnum,
epoch: satrec.jdsatepoch - 2433281.5,
xbstar: satrec.bstar,
xecco: satrec.ecco,
xargpo: satrec.argpo,
xinclo: satrec.inclo,
xmo: satrec.mo,
xno: satrec.no,
xnodeo: satrec.nodeo
});
return satrec;
}
/* -----------------------------------------------------------------------------
*
* function json2satrec
*
* this function converts the OMM json data to variables and initializes the sgp4
* variables. several intermediate varaibles and quantities are determined. note
* that the result is a structure so multiple satellites can be processed
* simultaneously without having to reinitialize. the verification mode is an
* important option that permits quick checks of any changes to the underlying
* technical theory. this option works using a modified tle file in which the
* start, stop, and delta time values are included at the end of the second line
* of data. this only works with the verification mode. the catalog mode simply
* propagates from -1440 to 1440 min from epoch and is useful when performing
* entire catalog runs.
*
* author : Hariharan Vitaladevuni 18 Aug 2023
* Theodore Kruczek 19 Aug 2023
*
* inputs :
* jsonobj - OMM json data
* opsmode - mode of operation afspc or improved 'a', 'i'. Default: 'i'.
*
* outputs :
* satrec - structure containing all the sgp4 satellite information
*
* coupling :
* days2mdhms - conversion of days to month, day, hour, minute, second
* jday - convert day month year hour minute second into julian date
* sgp4init - initialize the sgp4 variables
*
* warning : the epoch date in OMM format is more accurate than TLE format!
* this will result in extremely close, but different
* position/velocity values. Depending on your use case, it may
* be better to use twoline2satrec, but for the average user this
* will provide comparable results.
*
* references :
* https://celestrak.org/NORAD/documentation/gp-data-formats.php
--------------------------------------------------------------------------- */
function json2satrec(jsonobj) {
var opsmode = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : 'i';
var error = 0;
var satnum = jsonobj.NORAD_CAT_ID.toString();
var epoch = new Date(jsonobj.EPOCH.endsWith('Z') ? jsonobj.EPOCH : jsonobj.EPOCH + 'Z');
var year = epoch.getUTCFullYear();
var epochyr = Number(year.toString().slice(-2));
var epochdays = (epoch.valueOf() - new Date(Date.UTC(year, 0, 1, 0, 0, 0)).valueOf()) / (86400 * 1000) + 1;
var ndot = Number(jsonobj.MEAN_MOTION_DOT);
var nddot = Number(jsonobj.MEAN_MOTION_DDOT);
var bstar = Number(jsonobj.BSTAR);
var inclo = Number(jsonobj.INCLINATION) * _constants.deg2rad;
var nodeo = Number(jsonobj.RA_OF_ASC_NODE) * _constants.deg2rad;
var ecco = Number(jsonobj.ECCENTRICITY);
var argpo = Number(jsonobj.ARG_OF_PERICENTER) * _constants.deg2rad;
var mo = Number(jsonobj.MEAN_ANOMALY) * _constants.deg2rad;
var no = Number(jsonobj.MEAN_MOTION) / _constants.xpdotp;
// ----------------------------------------------------------------
// find sgp4epoch time of element set
// remember that sgp4 uses units of days from 0 jan 1950 (sgp4epoch)
// and minutes from the epoch (time)
// ----------------------------------------------------------------
var mdhmsResult = (0, _ext.days2mdhms)(year, epochdays);
var mon = mdhmsResult.mon,
day = mdhmsResult.day,
hr = mdhmsResult.hr,
minute = mdhmsResult.minute,
sec = mdhmsResult.sec;
var jdsatepoch = (0, _ext.jday)(year, mon, day, hr, minute, sec);
var satrec = {
error: error,
satnum: satnum,
epochyr: epochyr,
epochdays: epochdays,
ndot: ndot,
nddot: nddot,
bstar: bstar,
inclo: inclo,
nodeo: nodeo,
ecco: ecco,
argpo: argpo,
mo: mo,
no: no,
jdsatepoch: jdsatepoch
};
// ---------------- initialize the orbit at sgp4epoch -------------------
(0, _sgp4init["default"])(satrec, {
opsmode: opsmode,
satn: satrec.satnum,
epoch: satrec.jdsatepoch - 2433281.5,
xbstar: satrec.bstar,
xecco: satrec.ecco,
xargpo: satrec.argpo,
xinclo: satrec.inclo,
xmo: satrec.mo,
xno: satrec.no,
xnodeo: satrec.nodeo
});
return satrec;
}
node_modules/satellite.js/lib/propagation.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
Object.defineProperty(exports, "gstime", {
enumerable: true,
get: function get() {
return _gstime["default"];
}
});
Object.defineProperty(exports, "propagate", {
enumerable: true,
get: function get() {
return _propagate["default"];
}
});
Object.defineProperty(exports, "sgp4", {
enumerable: true,
get: function get() {
return _sgp["default"];
}
});
var _propagate = _interopRequireDefault(require("./propagation/propagate"));
var _sgp = _interopRequireDefault(require("./propagation/sgp4"));
var _gstime = _interopRequireDefault(require("./propagation/gstime"));
function _interopRequireDefault(e) { return e && e.__esModule ? e : { "default": e }; }
node_modules/satellite.js/lib/propagation/SatRec.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports.SatRecError = void 0;
var SatRecError;
(function (SatRecError) {
/**
* No error, propagation for the last supplied date is successful
*/
SatRecError[SatRecError["None"] = 0] = "None";
/**
* Mean eccentricity is out of range 0 ≤ e < 1
*/
SatRecError[SatRecError["MeanEccentricityOutOfRange"] = 1] = "MeanEccentricityOutOfRange";
/**
* Mean motion has fallen below zero.
*/
SatRecError[SatRecError["MeanMotionBelowZero"] = 2] = "MeanMotionBelowZero";
/**
* Perturbed eccentricity is out of range 0 ≤ e < 1
*/
SatRecError[SatRecError["PerturbedEccentricityOutOfRange"] = 3] = "PerturbedEccentricityOutOfRange";
/**
* Length of the orbit’s semi-latus rectum has fallen below zero.
*/
SatRecError[SatRecError["SemiLatusRectumBelowZero"] = 4] = "SemiLatusRectumBelowZero";
// 5 is not used
/**
* Orbit has decayed: the computed position is underground.
*/
SatRecError[SatRecError["Decayed"] = 6] = "Decayed";
})(SatRecError || (exports.SatRecError = SatRecError = {}));
node_modules/satellite.js/lib/propagation/dpper.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports["default"] = dpper;
var _constants = require("../constants");
/* -----------------------------------------------------------------------------
*
* procedure dpper
*
* this procedure provides deep space long period periodic contributions
* to the mean elements. by design, these periodics are zero at epoch.
* this used to be dscom which included initialization, but it's really a
* recurring function.
*
* author : david vallado 719-573-2600 28 jun 2005
*
* inputs :
* e3 -
* ee2 -
* peo -
* pgho -
* pho -
* pinco -
* plo -
* se2 , se3 , sgh2, sgh3, sgh4, sh2, sh3, si2, si3, sl2, sl3, sl4 -
* t -
* xh2, xh3, xi2, xi3, xl2, xl3, xl4 -
* zmol -
* zmos -
* ep - eccentricity 0.0 - 1.0
* inclo - inclination - needed for lyddane modification
* nodep - right ascension of ascending node
* argpp - argument of perigee
* mp - mean anomaly
*
* outputs :
* ep - eccentricity 0.0 - 1.0
* inclp - inclination
* nodep - right ascension of ascending node
* argpp - argument of perigee
* mp - mean anomaly
*
* locals :
* alfdp -
* betdp -
* cosip , sinip , cosop , sinop ,
* dalf -
* dbet -
* dls -
* f2, f3 -
* pe -
* pgh -
* ph -
* pinc -
* pl -
* sel , ses , sghl , sghs , shl , shs , sil , sinzf , sis ,
* sll , sls
* xls -
* xnoh -
* zf -
* zm -
*
* coupling :
* none.
*
* references :
* hoots, roehrich, norad spacetrack report #3 1980
* hoots, norad spacetrack report #6 1986
* hoots, schumacher and glover 2004
* vallado, crawford, hujsak, kelso 2006
----------------------------------------------------------------------------*/
function dpper(satrec, options) {
var e3 = satrec.e3,
ee2 = satrec.ee2,
peo = satrec.peo,
pgho = satrec.pgho,
pho = satrec.pho,
pinco = satrec.pinco,
plo = satrec.plo,
se2 = satrec.se2,
se3 = satrec.se3,
sgh2 = satrec.sgh2,
sgh3 = satrec.sgh3,
sgh4 = satrec.sgh4,
sh2 = satrec.sh2,
sh3 = satrec.sh3,
si2 = satrec.si2,
si3 = satrec.si3,
sl2 = satrec.sl2,
sl3 = satrec.sl3,
sl4 = satrec.sl4,
t = satrec.t,
xgh2 = satrec.xgh2,
xgh3 = satrec.xgh3,
xgh4 = satrec.xgh4,
xh2 = satrec.xh2,
xh3 = satrec.xh3,
xi2 = satrec.xi2,
xi3 = satrec.xi3,
xl2 = satrec.xl2,
xl3 = satrec.xl3,
xl4 = satrec.xl4,
zmol = satrec.zmol,
zmos = satrec.zmos;
var init = options.init,
opsmode = options.opsmode;
var ep = options.ep,
inclp = options.inclp,
nodep = options.nodep,
argpp = options.argpp,
mp = options.mp;
// Copy satellite attributes into local variables for convenience
// and symmetry in writing formulae.
var alfdp;
var betdp;
var cosip;
var sinip;
var cosop;
var sinop;
var dalf;
var dbet;
var dls;
var f2;
var f3;
var pe;
var pgh;
var ph;
var pinc;
var pl;
var sinzf;
var xls;
var xnoh;
var zf;
var zm;
// ---------------------- constants -----------------------------
var zns = 1.19459e-5;
var zes = 0.01675;
var znl = 1.5835218e-4;
var zel = 0.05490;
// --------------- calculate time varying periodics -----------
zm = zmos + zns * t;
// be sure that the initial call has time set to zero
if (init === 'y') {
zm = zmos;
}
zf = zm + 2.0 * zes * Math.sin(zm);
sinzf = Math.sin(zf);
f2 = 0.5 * sinzf * sinzf - 0.25;
f3 = -0.5 * sinzf * Math.cos(zf);
var ses = se2 * f2 + se3 * f3;
var sis = si2 * f2 + si3 * f3;
var sls = sl2 * f2 + sl3 * f3 + sl4 * sinzf;
var sghs = sgh2 * f2 + sgh3 * f3 + sgh4 * sinzf;
var shs = sh2 * f2 + sh3 * f3;
zm = zmol + znl * t;
if (init === 'y') {
zm = zmol;
}
zf = zm + 2.0 * zel * Math.sin(zm);
sinzf = Math.sin(zf);
f2 = 0.5 * sinzf * sinzf - 0.25;
f3 = -0.5 * sinzf * Math.cos(zf);
var sel = ee2 * f2 + e3 * f3;
var sil = xi2 * f2 + xi3 * f3;
var sll = xl2 * f2 + xl3 * f3 + xl4 * sinzf;
var sghl = xgh2 * f2 + xgh3 * f3 + xgh4 * sinzf;
var shll = xh2 * f2 + xh3 * f3;
pe = ses + sel;
pinc = sis + sil;
pl = sls + sll;
pgh = sghs + sghl;
ph = shs + shll;
if (init === 'n') {
pe -= peo;
pinc -= pinco;
pl -= plo;
pgh -= pgho;
ph -= pho;
inclp += pinc;
ep += pe;
sinip = Math.sin(inclp);
cosip = Math.cos(inclp);
/* ----------------- apply periodics directly ------------ */
// sgp4fix for lyddane choice
// strn3 used original inclination - this is technically feasible
// gsfc used perturbed inclination - also technically feasible
// probably best to readjust the 0.2 limit value and limit discontinuity
// 0.2 rad = 11.45916 deg
// use next line for original strn3 approach and original inclination
// if (inclo >= 0.2)
// use next line for gsfc version and perturbed inclination
if (inclp >= 0.2) {
ph /= sinip;
pgh -= cosip * ph;
argpp += pgh;
nodep += ph;
mp += pl;
} else {
// ---- apply periodics with lyddane modification ----
sinop = Math.sin(nodep);
cosop = Math.cos(nodep);
alfdp = sinip * sinop;
betdp = sinip * cosop;
dalf = ph * cosop + pinc * cosip * sinop;
dbet = -ph * sinop + pinc * cosip * cosop;
alfdp += dalf;
betdp += dbet;
nodep %= _constants.twoPi;
// sgp4fix for afspc written intrinsic functions
// nodep used without a trigonometric function ahead
if (nodep < 0.0 && opsmode === 'a') {
nodep += _constants.twoPi;
}
xls = mp + argpp + cosip * nodep;
dls = pl + pgh - pinc * nodep * sinip;
xls += dls;
xnoh = nodep;
nodep = Math.atan2(alfdp, betdp);
// sgp4fix for afspc written intrinsic functions
// nodep used without a trigonometric function ahead
if (nodep < 0.0 && opsmode === 'a') {
nodep += _constants.twoPi;
}
if (Math.abs(xnoh - nodep) > _constants.pi) {
if (nodep < xnoh) {
nodep += _constants.twoPi;
} else {
nodep -= _constants.twoPi;
}
}
mp += pl;
argpp = xls - mp - cosip * nodep;
}
}
return {
ep: ep,
inclp: inclp,
nodep: nodep,
argpp: argpp,
mp: mp
};
}
node_modules/satellite.js/lib/propagation/dscom.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports["default"] = dscom;
var _constants = require("../constants");
/*-----------------------------------------------------------------------------
*
* procedure dscom
*
* this procedure provides deep space common items used by both the secular
* and periodics subroutines. input is provided as shown. this routine
* used to be called dpper, but the functions inside weren't well organized.
*
* author : david vallado 719-573-2600 28 jun 2005
*
* inputs :
* epoch -
* ep - eccentricity
* argpp - argument of perigee
* tc -
* inclp - inclination
* nodep - right ascension of ascending node
* np - mean motion
*
* outputs :
* sinim , cosim , sinomm , cosomm , snodm , cnodm
* day -
* e3 -
* ee2 -
* em - eccentricity
* emsq - eccentricity squared
* gam -
* peo -
* pgho -
* pho -
* pinco -
* plo -
* rtemsq -
* se2, se3 -
* sgh2, sgh3, sgh4 -
* sh2, sh3, si2, si3, sl2, sl3, sl4 -
* s1, s2, s3, s4, s5, s6, s7 -
* ss1, ss2, ss3, ss4, ss5, ss6, ss7, sz1, sz2, sz3 -
* sz11, sz12, sz13, sz21, sz22, sz23, sz31, sz32, sz33 -
* xgh2, xgh3, xgh4, xh2, xh3, xi2, xi3, xl2, xl3, xl4 -
* nm - mean motion
* z1, z2, z3, z11, z12, z13, z21, z22, z23, z31, z32, z33 -
* zmol -
* zmos -
*
* locals :
* a1, a2, a3, a4, a5, a6, a7, a8, a9, a10 -
* betasq -
* cc -
* ctem, stem -
* x1, x2, x3, x4, x5, x6, x7, x8 -
* xnodce -
* xnoi -
* zcosg , zsing , zcosgl , zsingl , zcosh , zsinh , zcoshl , zsinhl ,
* zcosi , zsini , zcosil , zsinil ,
* zx -
* zy -
*
* coupling :
* none.
*
* references :
* hoots, roehrich, norad spacetrack report #3 1980
* hoots, norad spacetrack report #6 1986
* hoots, schumacher and glover 2004
* vallado, crawford, hujsak, kelso 2006
----------------------------------------------------------------------------*/
function dscom(options) {
var epoch = options.epoch,
ep = options.ep,
argpp = options.argpp,
tc = options.tc,
inclp = options.inclp,
nodep = options.nodep,
np = options.np;
var a1;
var a2;
var a3;
var a4;
var a5;
var a6;
var a7;
var a8;
var a9;
var a10;
var cc;
var x1;
var x2;
var x3;
var x4;
var x5;
var x6;
var x7;
var x8;
var zcosg;
var zsing;
var zcosh;
var zsinh;
var zcosi;
var zsini;
var ss1;
var ss2;
var ss3;
var ss4;
var ss5;
var ss6;
var ss7;
var sz1;
var sz2;
var sz3;
var sz11;
var sz12;
var sz13;
var sz21;
var sz22;
var sz23;
var sz31;
var sz32;
var sz33;
var s1;
var s2;
var s3;
var s4;
var s5;
var s6;
var s7;
var z1;
var z2;
var z3;
var z11;
var z12;
var z13;
var z21;
var z22;
var z23;
var z31;
var z32;
var z33;
// -------------------------- constants -------------------------
var zes = 0.01675;
var zel = 0.05490;
var c1ss = 2.9864797e-6;
var c1l = 4.7968065e-7;
var zsinis = 0.39785416;
var zcosis = 0.91744867;
var zcosgs = 0.1945905;
var zsings = -0.98088458;
// --------------------- local variables ------------------------
var nm = np;
var em = ep;
var snodm = Math.sin(nodep);
var cnodm = Math.cos(nodep);
var sinomm = Math.sin(argpp);
var cosomm = Math.cos(argpp);
var sinim = Math.sin(inclp);
var cosim = Math.cos(inclp);
var emsq = em * em;
var betasq = 1.0 - emsq;
var rtemsq = Math.sqrt(betasq);
// ----------------- initialize lunar solar terms ---------------
var peo = 0.0;
var pinco = 0.0;
var plo = 0.0;
var pgho = 0.0;
var pho = 0.0;
var day = epoch + 18261.5 + tc / 1440.0;
var xnodce = (4.5236020 - 9.2422029e-4 * day) % _constants.twoPi;
var stem = Math.sin(xnodce);
var ctem = Math.cos(xnodce);
var zcosil = 0.91375164 - 0.03568096 * ctem;
var zsinil = Math.sqrt(1.0 - zcosil * zcosil);
var zsinhl = 0.089683511 * stem / zsinil;
var zcoshl = Math.sqrt(1.0 - zsinhl * zsinhl);
var gam = 5.8351514 + 0.0019443680 * day;
var zx = 0.39785416 * stem / zsinil;
var zy = zcoshl * ctem + 0.91744867 * zsinhl * stem;
zx = Math.atan2(zx, zy);
zx += gam - xnodce;
var zcosgl = Math.cos(zx);
var zsingl = Math.sin(zx);
// ------------------------- do solar terms ---------------------
zcosg = zcosgs;
zsing = zsings;
zcosi = zcosis;
zsini = zsinis;
zcosh = cnodm;
zsinh = snodm;
cc = c1ss;
var xnoi = 1.0 / nm;
var lsflg = 0;
while (lsflg < 2) {
lsflg += 1;
a1 = zcosg * zcosh + zsing * zcosi * zsinh;
a3 = -zsing * zcosh + zcosg * zcosi * zsinh;
a7 = -zcosg * zsinh + zsing * zcosi * zcosh;
a8 = zsing * zsini;
a9 = zsing * zsinh + zcosg * zcosi * zcosh;
a10 = zcosg * zsini;
a2 = cosim * a7 + sinim * a8;
a4 = cosim * a9 + sinim * a10;
a5 = -sinim * a7 + cosim * a8;
a6 = -sinim * a9 + cosim * a10;
x1 = a1 * cosomm + a2 * sinomm;
x2 = a3 * cosomm + a4 * sinomm;
x3 = -a1 * sinomm + a2 * cosomm;
x4 = -a3 * sinomm + a4 * cosomm;
x5 = a5 * sinomm;
x6 = a6 * sinomm;
x7 = a5 * cosomm;
x8 = a6 * cosomm;
z31 = 12.0 * x1 * x1 - 3.0 * x3 * x3;
z32 = 24.0 * x1 * x2 - 6.0 * x3 * x4;
z33 = 12.0 * x2 * x2 - 3.0 * x4 * x4;
z1 = 3.0 * (a1 * a1 + a2 * a2) + z31 * emsq;
z2 = 6.0 * (a1 * a3 + a2 * a4) + z32 * emsq;
z3 = 3.0 * (a3 * a3 + a4 * a4) + z33 * emsq;
z11 = -6.0 * a1 * a5 + emsq * (-24.0 * x1 * x7 - 6.0 * x3 * x5);
z12 = -6.0 * (a1 * a6 + a3 * a5) + emsq * (-24.0 * (x2 * x7 + x1 * x8) + -6.0 * (x3 * x6 + x4 * x5));
z13 = -6.0 * a3 * a6 + emsq * (-24.0 * x2 * x8 - 6.0 * x4 * x6);
z21 = 6.0 * a2 * a5 + emsq * (24.0 * x1 * x5 - 6.0 * x3 * x7);
z22 = 6.0 * (a4 * a5 + a2 * a6) + emsq * (24.0 * (x2 * x5 + x1 * x6) - 6.0 * (x4 * x7 + x3 * x8));
z23 = 6.0 * a4 * a6 + emsq * (24.0 * x2 * x6 - 6.0 * x4 * x8);
z1 = z1 + z1 + betasq * z31;
z2 = z2 + z2 + betasq * z32;
z3 = z3 + z3 + betasq * z33;
s3 = cc * xnoi;
s2 = -0.5 * s3 / rtemsq;
s4 = s3 * rtemsq;
s1 = -15.0 * em * s4;
s5 = x1 * x3 + x2 * x4;
s6 = x2 * x3 + x1 * x4;
s7 = x2 * x4 - x1 * x3;
// ----------------------- do lunar terms -------------------
if (lsflg === 1) {
ss1 = s1;
ss2 = s2;
ss3 = s3;
ss4 = s4;
ss5 = s5;
ss6 = s6;
ss7 = s7;
sz1 = z1;
sz2 = z2;
sz3 = z3;
sz11 = z11;
sz12 = z12;
sz13 = z13;
sz21 = z21;
sz22 = z22;
sz23 = z23;
sz31 = z31;
sz32 = z32;
sz33 = z33;
zcosg = zcosgl;
zsing = zsingl;
zcosi = zcosil;
zsini = zsinil;
zcosh = zcoshl * cnodm + zsinhl * snodm;
zsinh = snodm * zcoshl - cnodm * zsinhl;
cc = c1l;
}
}
var zmol = (4.7199672 + (0.22997150 * day - gam)) % _constants.twoPi;
var zmos = (6.2565837 + 0.017201977 * day) % _constants.twoPi;
// ------------------------ do solar terms ----------------------
var se2 = 2.0 * ss1 * ss6;
var se3 = 2.0 * ss1 * ss7;
var si2 = 2.0 * ss2 * sz12;
var si3 = 2.0 * ss2 * (sz13 - sz11);
var sl2 = -2.0 * ss3 * sz2;
var sl3 = -2.0 * ss3 * (sz3 - sz1);
var sl4 = -2.0 * ss3 * (-21.0 - 9.0 * emsq) * zes;
var sgh2 = 2.0 * ss4 * sz32;
var sgh3 = 2.0 * ss4 * (sz33 - sz31);
var sgh4 = -18.0 * ss4 * zes;
var sh2 = -2.0 * ss2 * sz22;
var sh3 = -2.0 * ss2 * (sz23 - sz21);
// ------------------------ do lunar terms ----------------------
var ee2 = 2.0 * s1 * s6;
var e3 = 2.0 * s1 * s7;
var xi2 = 2.0 * s2 * z12;
var xi3 = 2.0 * s2 * (z13 - z11);
var xl2 = -2.0 * s3 * z2;
var xl3 = -2.0 * s3 * (z3 - z1);
var xl4 = -2.0 * s3 * (-21.0 - 9.0 * emsq) * zel;
var xgh2 = 2.0 * s4 * z32;
var xgh3 = 2.0 * s4 * (z33 - z31);
var xgh4 = -18.0 * s4 * zel;
var xh2 = -2.0 * s2 * z22;
var xh3 = -2.0 * s2 * (z23 - z21);
return {
snodm: snodm,
cnodm: cnodm,
sinim: sinim,
cosim: cosim,
sinomm: sinomm,
cosomm: cosomm,
day: day,
e3: e3,
ee2: ee2,
em: em,
emsq: emsq,
gam: gam,
peo: peo,
pgho: pgho,
pho: pho,
pinco: pinco,
plo: plo,
rtemsq: rtemsq,
se2: se2,
se3: se3,
sgh2: sgh2,
sgh3: sgh3,
sgh4: sgh4,
sh2: sh2,
sh3: sh3,
si2: si2,
si3: si3,
sl2: sl2,
sl3: sl3,
sl4: sl4,
s1: s1,
s2: s2,
s3: s3,
s4: s4,
s5: s5,
s6: s6,
s7: s7,
ss1: ss1,
ss2: ss2,
ss3: ss3,
ss4: ss4,
ss5: ss5,
ss6: ss6,
ss7: ss7,
sz1: sz1,
sz2: sz2,
sz3: sz3,
sz11: sz11,
sz12: sz12,
sz13: sz13,
sz21: sz21,
sz22: sz22,
sz23: sz23,
sz31: sz31,
sz32: sz32,
sz33: sz33,
xgh2: xgh2,
xgh3: xgh3,
xgh4: xgh4,
xh2: xh2,
xh3: xh3,
xi2: xi2,
xi3: xi3,
xl2: xl2,
xl3: xl3,
xl4: xl4,
nm: nm,
z1: z1,
z2: z2,
z3: z3,
z11: z11,
z12: z12,
z13: z13,
z21: z21,
z22: z22,
z23: z23,
z31: z31,
z32: z32,
z33: z33,
zmol: zmol,
zmos: zmos
};
}
node_modules/satellite.js/lib/propagation/dsinit.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports["default"] = dsinit;
var _constants = require("../constants");
/*-----------------------------------------------------------------------------
*
* procedure dsinit
*
* this procedure provides deep space contributions to mean motion dot due
* to geopotential resonance with half day and one day orbits.
*
* author : david vallado 719-573-2600 28 jun 2005
*
* inputs :
* cosim, sinim-
* emsq - eccentricity squared
* argpo - argument of perigee
* s1, s2, s3, s4, s5 -
* ss1, ss2, ss3, ss4, ss5 -
* sz1, sz3, sz11, sz13, sz21, sz23, sz31, sz33 -
* t - time
* tc -
* gsto - greenwich sidereal time rad
* mo - mean anomaly
* mdot - mean anomaly dot (rate)
* no - mean motion
* nodeo - right ascension of ascending node
* nodedot - right ascension of ascending node dot (rate)
* xpidot -
* z1, z3, z11, z13, z21, z23, z31, z33 -
* eccm - eccentricity
* argpm - argument of perigee
* inclm - inclination
* mm - mean anomaly
* xn - mean motion
* nodem - right ascension of ascending node
*
* outputs :
* em - eccentricity
* argpm - argument of perigee
* inclm - inclination
* mm - mean anomaly
* nm - mean motion
* nodem - right ascension of ascending node
* irez - flag for resonance 0-none, 1-one day, 2-half day
* atime -
* d2201, d2211, d3210, d3222, d4410, d4422, d5220, d5232, d5421, d5433 -
* dedt -
* didt -
* dmdt -
* dndt -
* dnodt -
* domdt -
* del1, del2, del3 -
* ses , sghl , sghs , sgs , shl , shs , sis , sls
* theta -
* xfact -
* xlamo -
* xli -
* xni
*
* locals :
* ainv2 -
* aonv -
* cosisq -
* eoc -
* f220, f221, f311, f321, f322, f330, f441, f442, f522, f523, f542, f543 -
* g200, g201, g211, g300, g310, g322, g410, g422, g520, g521, g532, g533 -
* sini2 -
* temp -
* temp1 -
* theta -
* xno2 -
*
* coupling :
* getgravconst
*
* references :
* hoots, roehrich, norad spacetrack report #3 1980
* hoots, norad spacetrack report #6 1986
* hoots, schumacher and glover 2004
* vallado, crawford, hujsak, kelso 2006
----------------------------------------------------------------------------*/
function dsinit(options) {
var cosim = options.cosim,
argpo = options.argpo,
s1 = options.s1,
s2 = options.s2,
s3 = options.s3,
s4 = options.s4,
s5 = options.s5,
sinim = options.sinim,
ss1 = options.ss1,
ss2 = options.ss2,
ss3 = options.ss3,
ss4 = options.ss4,
ss5 = options.ss5,
sz1 = options.sz1,
sz3 = options.sz3,
sz11 = options.sz11,
sz13 = options.sz13,
sz21 = options.sz21,
sz23 = options.sz23,
sz31 = options.sz31,
sz33 = options.sz33,
t = options.t,
tc = options.tc,
gsto = options.gsto,
mo = options.mo,
mdot = options.mdot,
no = options.no,
nodeo = options.nodeo,
nodedot = options.nodedot,
xpidot = options.xpidot,
z1 = options.z1,
z3 = options.z3,
z11 = options.z11,
z13 = options.z13,
z21 = options.z21,
z23 = options.z23,
z31 = options.z31,
z33 = options.z33,
ecco = options.ecco,
eccsq = options.eccsq;
var emsq = options.emsq,
em = options.em,
argpm = options.argpm,
inclm = options.inclm,
mm = options.mm,
nm = options.nm,
nodem = options.nodem,
irez = options.irez,
atime = options.atime,
d2201 = options.d2201,
d2211 = options.d2211,
d3210 = options.d3210,
d3222 = options.d3222,
d4410 = options.d4410,
d4422 = options.d4422,
d5220 = options.d5220,
d5232 = options.d5232,
d5421 = options.d5421,
d5433 = options.d5433,
dedt = options.dedt,
didt = options.didt,
dmdt = options.dmdt,
dnodt = options.dnodt,
domdt = options.domdt,
del1 = options.del1,
del2 = options.del2,
del3 = options.del3,
xfact = options.xfact,
xlamo = options.xlamo,
xli = options.xli,
xni = options.xni;
var f220;
var f221;
var f311;
var f321;
var f322;
var f330;
var f441;
var f442;
var f522;
var f523;
var f542;
var f543;
var g200;
var g201;
var g211;
var g300;
var g310;
var g322;
var g410;
var g422;
var g520;
var g521;
var g532;
var g533;
var sini2;
var temp;
var temp1;
var xno2;
var ainv2;
var aonv;
var cosisq;
var eoc;
var q22 = 1.7891679e-6;
var q31 = 2.1460748e-6;
var q33 = 2.2123015e-7;
var root22 = 1.7891679e-6;
var root44 = 7.3636953e-9;
var root54 = 2.1765803e-9;
// eslint-disable-next-line no-loss-of-precision
var rptim = 4.37526908801129966e-3; // equates to 7.29211514668855e-5 rad/sec
var root32 = 3.7393792e-7;
var root52 = 1.1428639e-7;
var znl = 1.5835218e-4;
var zns = 1.19459e-5;
// -------------------- deep space initialization ------------
irez = 0;
if (nm < 0.0052359877 && nm > 0.0034906585) {
irez = 1;
}
if (nm >= 8.26e-3 && nm <= 9.24e-3 && em >= 0.5) {
irez = 2;
}
// ------------------------ do solar terms -------------------
var ses = ss1 * zns * ss5;
var sis = ss2 * zns * (sz11 + sz13);
var sls = -zns * ss3 * (sz1 + sz3 - 14.0 - 6.0 * emsq);
var sghs = ss4 * zns * (sz31 + sz33 - 6.0);
var shs = -zns * ss2 * (sz21 + sz23);
// sgp4fix for 180 deg incl
if (inclm < 5.2359877e-2 || inclm > _constants.pi - 5.2359877e-2) {
shs = 0.0;
}
if (sinim !== 0.0) {
shs /= sinim;
}
var sgs = sghs - cosim * shs;
// ------------------------- do lunar terms ------------------
dedt = ses + s1 * znl * s5;
didt = sis + s2 * znl * (z11 + z13);
dmdt = sls - znl * s3 * (z1 + z3 - 14.0 - 6.0 * emsq);
var sghl = s4 * znl * (z31 + z33 - 6.0);
var shll = -znl * s2 * (z21 + z23);
// sgp4fix for 180 deg incl
if (inclm < 5.2359877e-2 || inclm > _constants.pi - 5.2359877e-2) {
shll = 0.0;
}
domdt = sgs + sghl;
dnodt = shs;
if (sinim !== 0.0) {
domdt -= cosim / sinim * shll;
dnodt += shll / sinim;
}
// ----------- calculate deep space resonance effects --------
var dndt = 0.0;
var theta = (gsto + tc * rptim) % _constants.twoPi;
em += dedt * t;
inclm += didt * t;
argpm += domdt * t;
nodem += dnodt * t;
mm += dmdt * t;
// sgp4fix for negative inclinations
// the following if statement should be commented out
// if (inclm < 0.0)
// {
// inclm = -inclm;
// argpm = argpm - pi;
// nodem = nodem + pi;
// }
// -------------- initialize the resonance terms -------------
if (irez !== 0) {
aonv = Math.pow(nm / _constants.xke, _constants.x2o3);
// ---------- geopotential resonance for 12 hour orbits ------
if (irez === 2) {
cosisq = cosim * cosim;
var emo = em;
em = ecco;
var emsqo = emsq;
emsq = eccsq;
eoc = em * emsq;
g201 = -0.306 - (em - 0.64) * 0.440;
if (em <= 0.65) {
g211 = 3.616 - 13.2470 * em + 16.2900 * emsq;
g310 = -19.302 + 117.3900 * em - 228.4190 * emsq + 156.5910 * eoc;
g322 = -18.9068 + 109.7927 * em - 214.6334 * emsq + 146.5816 * eoc;
g410 = -41.122 + 242.6940 * em - 471.0940 * emsq + 313.9530 * eoc;
g422 = -146.407 + 841.8800 * em - 1629.014 * emsq + 1083.4350 * eoc;
g520 = -532.114 + 3017.977 * em - 5740.032 * emsq + 3708.2760 * eoc;
} else {
g211 = -72.099 + 331.819 * em - 508.738 * emsq + 266.724 * eoc;
g310 = -346.844 + 1582.851 * em - 2415.925 * emsq + 1246.113 * eoc;
g322 = -342.585 + 1554.908 * em - 2366.899 * emsq + 1215.972 * eoc;
g410 = -1052.797 + 4758.686 * em - 7193.992 * emsq + 3651.957 * eoc;
g422 = -3581.690 + 16178.110 * em - 24462.770 * emsq + 12422.520 * eoc;
if (em > 0.715) {
g520 = -5149.66 + 29936.92 * em - 54087.36 * emsq + 31324.56 * eoc;
} else {
g520 = 1464.74 - 4664.75 * em + 3763.64 * emsq;
}
}
if (em < 0.7) {
g533 = -919.22770 + 4988.6100 * em - 9064.7700 * emsq + 5542.21 * eoc;
g521 = -822.71072 + 4568.6173 * em - 8491.4146 * emsq + 5337.524 * eoc;
g532 = -853.66600 + 4690.2500 * em - 8624.7700 * emsq + 5341.4 * eoc;
} else {
g533 = -37995.780 + 161616.52 * em - 229838.20 * emsq + 109377.94 * eoc;
g521 = -51752.104 + 218913.95 * em - 309468.16 * emsq + 146349.42 * eoc;
g532 = -40023.880 + 170470.89 * em - 242699.48 * emsq + 115605.82 * eoc;
}
sini2 = sinim * sinim;
f220 = 0.75 * (1.0 + 2.0 * cosim + cosisq);
f221 = 1.5 * sini2;
f321 = 1.875 * sinim * (1.0 - 2.0 * cosim - 3.0 * cosisq);
f322 = -1.875 * sinim * (1.0 + 2.0 * cosim - 3.0 * cosisq);
f441 = 35.0 * sini2 * f220;
f442 = 39.3750 * sini2 * sini2;
f522 = 9.84375 * sinim * (sini2 * (1.0 - 2.0 * cosim - 5.0 * cosisq) + 0.33333333 * (-2.0 + 4.0 * cosim + 6.0 * cosisq));
f523 = sinim * (4.92187512 * sini2 * (-2.0 - 4.0 * cosim + 10.0 * cosisq) + 6.56250012 * (1.0 + 2.0 * cosim - 3.0 * cosisq));
f542 = 29.53125 * sinim * (2.0 - 8.0 * cosim + cosisq * (-12.0 + 8.0 * cosim + 10.0 * cosisq));
f543 = 29.53125 * sinim * (-2.0 - 8.0 * cosim + cosisq * (12.0 + 8.0 * cosim - 10.0 * cosisq));
xno2 = nm * nm;
ainv2 = aonv * aonv;
temp1 = 3.0 * xno2 * ainv2;
temp = temp1 * root22;
d2201 = temp * f220 * g201;
d2211 = temp * f221 * g211;
temp1 *= aonv;
temp = temp1 * root32;
d3210 = temp * f321 * g310;
d3222 = temp * f322 * g322;
temp1 *= aonv;
temp = 2.0 * temp1 * root44;
d4410 = temp * f441 * g410;
d4422 = temp * f442 * g422;
temp1 *= aonv;
temp = temp1 * root52;
d5220 = temp * f522 * g520;
d5232 = temp * f523 * g532;
temp = 2.0 * temp1 * root54;
d5421 = temp * f542 * g521;
d5433 = temp * f543 * g533;
xlamo = (mo + nodeo + nodeo - (theta + theta)) % _constants.twoPi;
xfact = mdot + dmdt + 2.0 * (nodedot + dnodt - rptim) - no;
em = emo;
emsq = emsqo;
}
// ---------------- synchronous resonance terms --------------
if (irez === 1) {
g200 = 1.0 + emsq * (-2.5 + 0.8125 * emsq);
g310 = 1.0 + 2.0 * emsq;
g300 = 1.0 + emsq * (-6.0 + 6.60937 * emsq);
f220 = 0.75 * (1.0 + cosim) * (1.0 + cosim);
f311 = 0.9375 * sinim * sinim * (1.0 + 3.0 * cosim) - 0.75 * (1.0 + cosim);
f330 = 1.0 + cosim;
f330 *= 1.875 * f330 * f330;
del1 = 3.0 * nm * nm * aonv * aonv;
del2 = 2.0 * del1 * f220 * g200 * q22;
del3 = 3.0 * del1 * f330 * g300 * q33 * aonv;
del1 = del1 * f311 * g310 * q31 * aonv;
xlamo = (mo + nodeo + argpo - theta) % _constants.twoPi;
xfact = mdot + xpidot + dmdt + domdt + dnodt - (no + rptim);
}
// ------------ for sgp4, initialize the integrator ----------
xli = xlamo;
xni = no;
atime = 0.0;
nm = no + dndt;
}
return {
em: em,
argpm: argpm,
inclm: inclm,
mm: mm,
nm: nm,
nodem: nodem,
irez: irez,
atime: atime,
d2201: d2201,
d2211: d2211,
d3210: d3210,
d3222: d3222,
d4410: d4410,
d4422: d4422,
d5220: d5220,
d5232: d5232,
d5421: d5421,
d5433: d5433,
dedt: dedt,
didt: didt,
dmdt: dmdt,
dndt: dndt,
dnodt: dnodt,
domdt: domdt,
del1: del1,
del2: del2,
del3: del3,
xfact: xfact,
xlamo: xlamo,
xli: xli,
xni: xni
};
}
node_modules/satellite.js/lib/propagation/dspace.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports["default"] = dspace;
var _constants = require("../constants");
/*-----------------------------------------------------------------------------
*
* procedure dspace
*
* this procedure provides deep space contributions to mean elements for
* perturbing third body. these effects have been averaged over one
* revolution of the sun and moon. for earth resonance effects, the
* effects have been averaged over no revolutions of the satellite.
* (mean motion)
*
* author : david vallado 719-573-2600 28 jun 2005
*
* inputs :
* d2201, d2211, d3210, d3222, d4410, d4422, d5220, d5232, d5421, d5433 -
* dedt -
* del1, del2, del3 -
* didt -
* dmdt -
* dnodt -
* domdt -
* irez - flag for resonance 0-none, 1-one day, 2-half day
* argpo - argument of perigee
* argpdot - argument of perigee dot (rate)
* t - time
* tc -
* gsto - gst
* xfact -
* xlamo -
* no - mean motion
* atime -
* em - eccentricity
* ft -
* argpm - argument of perigee
* inclm - inclination
* xli -
* mm - mean anomaly
* xni - mean motion
* nodem - right ascension of ascending node
*
* outputs :
* atime -
* em - eccentricity
* argpm - argument of perigee
* inclm - inclination
* xli -
* mm - mean anomaly
* xni -
* nodem - right ascension of ascending node
* dndt -
* nm - mean motion
*
* locals :
* delt -
* ft -
* theta -
* x2li -
* x2omi -
* xl -
* xldot -
* xnddt -
* xndt -
* xomi -
*
* coupling :
* none -
*
* references :
* hoots, roehrich, norad spacetrack report #3 1980
* hoots, norad spacetrack report #6 1986
* hoots, schumacher and glover 2004
* vallado, crawford, hujsak, kelso 2006
----------------------------------------------------------------------------*/
function dspace(options) {
var irez = options.irez,
d2201 = options.d2201,
d2211 = options.d2211,
d3210 = options.d3210,
d3222 = options.d3222,
d4410 = options.d4410,
d4422 = options.d4422,
d5220 = options.d5220,
d5232 = options.d5232,
d5421 = options.d5421,
d5433 = options.d5433,
dedt = options.dedt,
del1 = options.del1,
del2 = options.del2,
del3 = options.del3,
didt = options.didt,
dmdt = options.dmdt,
dnodt = options.dnodt,
domdt = options.domdt,
argpo = options.argpo,
argpdot = options.argpdot,
t = options.t,
tc = options.tc,
gsto = options.gsto,
xfact = options.xfact,
xlamo = options.xlamo,
no = options.no;
var atime = options.atime,
em = options.em,
argpm = options.argpm,
inclm = options.inclm,
xli = options.xli,
mm = options.mm,
xni = options.xni,
nodem = options.nodem,
nm = options.nm;
var fasx2 = 0.13130908;
var fasx4 = 2.8843198;
var fasx6 = 0.37448087;
var g22 = 5.7686396;
var g32 = 0.95240898;
var g44 = 1.8014998;
var g52 = 1.0508330;
var g54 = 4.4108898;
// eslint-disable-next-line no-loss-of-precision
var rptim = 4.37526908801129966e-3; // equates to 7.29211514668855e-5 rad/sec
var stepp = 720.0;
var stepn = -720.0;
var step2 = 259200.0;
var delt;
var x2li;
var x2omi;
var xl;
var xldot;
var xnddt;
var xndt;
var xomi;
var dndt = 0.0;
var ft = 0.0;
// ----------- calculate deep space resonance effects -----------
var theta = (gsto + tc * rptim) % _constants.twoPi;
em += dedt * t;
inclm += didt * t;
argpm += domdt * t;
nodem += dnodt * t;
mm += dmdt * t;
// sgp4fix for negative inclinations
// the following if statement should be commented out
// if (inclm < 0.0)
// {
// inclm = -inclm;
// argpm = argpm - pi;
// nodem = nodem + pi;
// }
/* - update resonances : numerical (euler-maclaurin) integration - */
/* ------------------------- epoch restart ---------------------- */
// sgp4fix for propagator problems
// the following integration works for negative time steps and periods
// the specific changes are unknown because the original code was so convoluted
// sgp4fix take out atime = 0.0 and fix for faster operation
if (irez !== 0) {
// sgp4fix streamline check
if (atime === 0.0 || t * atime <= 0.0 || Math.abs(t) < Math.abs(atime)) {
atime = 0.0;
xni = no;
xli = xlamo;
}
// sgp4fix move check outside loop
if (t > 0.0) {
delt = stepp;
} else {
delt = stepn;
}
var iretn = 381; // added for do loop
while (iretn === 381) {
// ------------------- dot terms calculated -------------
// ----------- near - synchronous resonance terms -------
if (irez !== 2) {
xndt = del1 * Math.sin(xli - fasx2) + del2 * Math.sin(2.0 * (xli - fasx4)) + del3 * Math.sin(3.0 * (xli - fasx6));
xldot = xni + xfact;
xnddt = del1 * Math.cos(xli - fasx2) + 2.0 * del2 * Math.cos(2.0 * (xli - fasx4)) + 3.0 * del3 * Math.cos(3.0 * (xli - fasx6));
xnddt *= xldot;
} else {
// --------- near - half-day resonance terms --------
xomi = argpo + argpdot * atime;
x2omi = xomi + xomi;
x2li = xli + xli;
xndt = d2201 * Math.sin(x2omi + xli - g22) + d2211 * Math.sin(xli - g22) + d3210 * Math.sin(xomi + xli - g32) + d3222 * Math.sin(-xomi + xli - g32) + d4410 * Math.sin(x2omi + x2li - g44) + d4422 * Math.sin(x2li - g44) + d5220 * Math.sin(xomi + xli - g52) + d5232 * Math.sin(-xomi + xli - g52) + d5421 * Math.sin(xomi + x2li - g54) + d5433 * Math.sin(-xomi + x2li - g54);
xldot = xni + xfact;
xnddt = d2201 * Math.cos(x2omi + xli - g22) + d2211 * Math.cos(xli - g22) + d3210 * Math.cos(xomi + xli - g32) + d3222 * Math.cos(-xomi + xli - g32) + d5220 * Math.cos(xomi + xli - g52) + d5232 * Math.cos(-xomi + xli - g52) + 2.0 * (d4410 * Math.cos(x2omi + x2li - g44) + d4422 * Math.cos(x2li - g44) + d5421 * Math.cos(xomi + x2li - g54) + d5433 * Math.cos(-xomi + x2li - g54));
xnddt *= xldot;
}
// ----------------------- integrator -------------------
// sgp4fix move end checks to end of routine
if (Math.abs(t - atime) >= stepp) {
iretn = 381;
} else {
ft = t - atime;
iretn = 0;
}
if (iretn === 381) {
xli += xldot * delt + xndt * step2;
xni += xndt * delt + xnddt * step2;
atime += delt;
}
}
nm = xni + xndt * ft + xnddt * ft * ft * 0.5;
xl = xli + xldot * ft + xndt * ft * ft * 0.5;
if (irez !== 1) {
mm = xl - 2.0 * nodem + 2.0 * theta;
dndt = nm - no;
} else {
mm = xl - nodem - argpm + theta;
dndt = nm - no;
}
nm = no + dndt;
}
return {
atime: atime,
em: em,
argpm: argpm,
inclm: inclm,
xli: xli,
mm: mm,
xni: xni,
nodem: nodem,
dndt: dndt,
nm: nm
};
}
node_modules/satellite.js/lib/propagation/gstime.js
Generated Vendored
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports["default"] = void 0;
var _constants = require("../constants");
var _ext = require("../ext");
/* -----------------------------------------------------------------------------
*
* function gstime
*
* this function finds the greenwich sidereal time.
*
* author : david vallado 719-573-2600 1 mar 2001
*
* inputs description range / units
* jdut1 - julian date in ut1 days from 4713 bc
*
* outputs :
* gstime - greenwich sidereal time 0 to 2pi rad
*
* locals :
* temp - temporary variable for doubles rad
* tut1 - julian centuries from the
* jan 1, 2000 12 h epoch (ut1)
*
* coupling :
* none
*
* references :
* vallado 2004, 191, eq 3-45
* --------------------------------------------------------------------------- */
function gstimeInternal(jdut1) {
var tut1 = (jdut1 - 2451545.0) / 36525.0;
var temp = -6.2e-6 * tut1 * tut1 * tut1 + 0.093104 * tut1 * tut1 + (876600.0 * 3600 + 8640184.812866) * tut1 + 67310.54841; // # sec
temp = temp * _constants.deg2rad / 240.0 % _constants.twoPi; // 360/86400 = 1/240, to deg, to rad
// ------------------------ check quadrants ---------------------
if (temp < 0.0) {
temp += _constants.twoPi;
}
return temp;
}
function gstime(first, month, day, hour, minute, second, millisecond) {
if (first instanceof Date) {
return gstimeInternal((0, _ext.jday)(first));
} else if (month !== undefined) {
return gstimeInternal((0, _ext.jday)(first, month, day, hour, minute, second, millisecond));
} else {
return gstimeInternal(first);
}
}
var _default = exports["default"] = gstime;
node_modules/satellite.js/lib/propagation/initl.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports["default"] = initl;
var _constants = require("../constants");
var _gstime = _interopRequireDefault(require("./gstime"));
function _interopRequireDefault(e) { return e && e.__esModule ? e : { "default": e }; }
/*-----------------------------------------------------------------------------
*
* procedure initl
*
* this procedure initializes the sgp4 propagator. all the initialization is
* consolidated here instead of having multiple loops inside other routines.
*
* author : david vallado 719-573-2600 28 jun 2005
*
* inputs :
* ecco - eccentricity 0.0 - 1.0
* epoch - epoch time in days from jan 0, 1950. 0 hr
* inclo - inclination of satellite
* no - mean motion of satellite
* satn - satellite number
*
* outputs :
* ainv - 1.0 / a
* ao - semi major axis
* con41 -
* con42 - 1.0 - 5.0 cos(i)
* cosio - cosine of inclination
* cosio2 - cosio squared
* eccsq - eccentricity squared
* method - flag for deep space 'd', 'n'
* omeosq - 1.0 - ecco * ecco
* posq - semi-parameter squared
* rp - radius of perigee
* rteosq - square root of (1.0 - ecco*ecco)
* sinio - sine of inclination
* gsto - gst at time of observation rad
* no - mean motion of satellite
*
* locals :
* ak -
* d1 -
* del -
* adel -
* po -
*
* coupling :
* getgravconst
* gstime - find greenwich sidereal time from the julian date
*
* references :
* hoots, roehrich, norad spacetrack report #3 1980
* hoots, norad spacetrack report #6 1986
* hoots, schumacher and glover 2004
* vallado, crawford, hujsak, kelso 2006
----------------------------------------------------------------------------*/
function initl(options) {
var ecco = options.ecco,
epoch = options.epoch,
inclo = options.inclo,
opsmode = options.opsmode;
var no = options.no;
// sgp4fix use old way of finding gst
// ----------------------- earth constants ---------------------
// sgp4fix identify constants and allow alternate values
// ------------- calculate auxillary epoch quantities ----------
var eccsq = ecco * ecco;
var omeosq = 1.0 - eccsq;
var rteosq = Math.sqrt(omeosq);
var cosio = Math.cos(inclo);
var cosio2 = cosio * cosio;
// ------------------ un-kozai the mean motion -----------------
var ak = Math.pow(_constants.xke / no, _constants.x2o3);
var d1 = 0.75 * _constants.j2 * (3.0 * cosio2 - 1.0) / (rteosq * omeosq);
var delPrime = d1 / (ak * ak);
var adel = ak * (1.0 - delPrime * delPrime - delPrime * (1.0 / 3.0 + 134.0 * delPrime * delPrime / 81.0));
delPrime = d1 / (adel * adel);
no /= 1.0 + delPrime;
var ao = Math.pow(_constants.xke / no, _constants.x2o3);
var sinio = Math.sin(inclo);
var po = ao * omeosq;
var con42 = 1.0 - 5.0 * cosio2;
var con41 = -con42 - cosio2 - cosio2;
var ainv = 1.0 / ao;
var posq = po * po;
var rp = ao * (1.0 - ecco);
var method = 'n';
// sgp4fix modern approach to finding sidereal time
var gsto;
if (opsmode === 'a') {
// sgp4fix use old way of finding gst
// count integer number of days from 0 jan 1970
var ts70 = epoch - 7305.0;
var ds70 = Math.floor(ts70 + 1.0e-8);
var tfrac = ts70 - ds70;
// find greenwich location at epoch
var c1 = 1.72027916940703639e-2; // eslint-disable-line no-loss-of-precision
var thgr70 = 1.7321343856509374; // eslint-disable-line no-loss-of-precision
var fk5r = 5.07551419432269442e-15; // eslint-disable-line no-loss-of-precision
var c1p2p = c1 + _constants.twoPi;
gsto = (thgr70 + c1 * ds70 + c1p2p * tfrac + ts70 * ts70 * fk5r) % _constants.twoPi;
if (gsto < 0.0) {
gsto += _constants.twoPi;
}
} else {
gsto = (0, _gstime["default"])(epoch + 2433281.5);
}
return {
no: no,
method: method,
ainv: ainv,
ao: ao,
con41: con41,
con42: con42,
cosio: cosio,
cosio2: cosio2,
eccsq: eccsq,
omeosq: omeosq,
posq: posq,
rp: rp,
rteosq: rteosq,
sinio: sinio,
gsto: gsto
};
}
node_modules/satellite.js/lib/propagation/propagate.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports["default"] = propagate;
var _constants = require("../constants");
var _ext = require("../ext");
var _sgp = _interopRequireDefault(require("./sgp4"));
function _interopRequireDefault(e) { return e && e.__esModule ? e : { "default": e }; }
function propagate(satrec) {
for (var _len = arguments.length, jdayArgs = new Array(_len > 1 ? _len - 1 : 0), _key = 1; _key < _len; _key++) {
jdayArgs[_key - 1] = arguments[_key];
}
// Return a position and velocity vector for a given date and time.
var j = _ext.jday.apply(void 0, jdayArgs);
var m = (j - satrec.jdsatepoch) * _constants.minutesPerDay;
return (0, _sgp["default"])(satrec, m);
}
node_modules/satellite.js/lib/propagation/sgp4.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports["default"] = sgp4;
var _constants = require("../constants");
var _dpper = _interopRequireDefault(require("./dpper"));
var _dspace = _interopRequireDefault(require("./dspace"));
var _SatRec = require("./SatRec.js");
function _interopRequireDefault(e) { return e && e.__esModule ? e : { "default": e }; }
/*----------------------------------------------------------------------------
*
* procedure sgp4
*
* this procedure is the sgp4 prediction model from space command. this is an
* updated and combined version of sgp4 and sdp4, which were originally
* published separately in spacetrack report //3. this version follows the
* methodology from the aiaa paper (2006) describing the history and
* development of the code.
*
* author : david vallado 719-573-2600 28 jun 2005
*
* inputs :
* satrec - initialised structure from sgp4init() call.
* tsince - time since epoch (minutes)
*
* outputs :
* r - position vector km
* v - velocity km/sec
* return code - non-zero on error.
* 1 - mean elements, ecc >= 1.0 or ecc < -0.001 or a < 0.95 er
* 2 - mean motion less than 0.0
* 3 - pert elements, ecc < 0.0 or ecc > 1.0
* 4 - semi-latus rectum < 0.0
* 5 - epoch elements are sub-orbital
* 6 - satellite has decayed
*
* locals :
* am -
* axnl, aynl -
* betal -
* cosim , sinim , cosomm , sinomm , cnod , snod , cos2u ,
* sin2u , coseo1 , sineo1 , cosi , sini , cosip , sinip ,
* cosisq , cossu , sinsu , cosu , sinu
* delm -
* delomg -
* dndt -
* eccm -
* emsq -
* ecose -
* el2 -
* eo1 -
* eccp -
* esine -
* argpm -
* argpp -
* omgadf -
* pl -
* r -
* rtemsq -
* rdotl -
* rl -
* rvdot -
* rvdotl -
* su -
* t2 , t3 , t4 , tc
* tem5, temp , temp1 , temp2 , tempa , tempe , templ
* u , ux , uy , uz , vx , vy , vz
* inclm - inclination
* mm - mean anomaly
* nm - mean motion
* nodem - right asc of ascending node
* xinc -
* xincp -
* xl -
* xlm -
* mp -
* xmdf -
* xmx -
* xmy -
* nodedf -
* xnode -
* nodep -
* np -
*
* coupling :
* getgravconst-
* dpper
* dspace
*
* references :
* hoots, roehrich, norad spacetrack report //3 1980
* hoots, norad spacetrack report //6 1986
* hoots, schumacher and glover 2004
* vallado, crawford, hujsak, kelso 2006
----------------------------------------------------------------------------*/
function sgp4(satrec, tsince) {
var coseo1;
var sineo1;
var cosip;
var sinip;
var cosisq;
var delm;
var delomg;
var eo1;
var argpm;
var argpp;
var su;
var t3;
var t4;
var tc;
var tem5;
var temp;
var tempa;
var tempe;
var templ;
var inclm;
var mm;
var nm;
var nodem;
var xincp;
var xlm;
var mp;
var nodep;
/* ------------------ set mathematical constants --------------- */
// sgp4fix divisor for divide by zero check on inclination
// the old check used 1.0 + cos(pi-1.0e-9), but then compared it to
// 1.5 e-12, so the threshold was changed to 1.5e-12 for consistency
var temp4 = 1.5e-12;
// --------------------- clear sgp4 error flag -----------------
satrec.t = tsince;
satrec.error = _SatRec.SatRecError.None;
// ------- update for secular gravity and atmospheric drag -----
var xmdf = satrec.mo + satrec.mdot * satrec.t;
var argpdf = satrec.argpo + satrec.argpdot * satrec.t;
var nodedf = satrec.nodeo + satrec.nodedot * satrec.t;
argpm = argpdf;
mm = xmdf;
var t2 = satrec.t * satrec.t;
nodem = nodedf + satrec.nodecf * t2;
tempa = 1.0 - satrec.cc1 * satrec.t;
tempe = satrec.bstar * satrec.cc4 * satrec.t;
templ = satrec.t2cof * t2;
if (satrec.isimp !== 1) {
delomg = satrec.omgcof * satrec.t;
// sgp4fix use mutliply for speed instead of pow
var delmtemp = 1.0 + satrec.eta * Math.cos(xmdf);
delm = satrec.xmcof * (delmtemp * delmtemp * delmtemp - satrec.delmo);
temp = delomg + delm;
mm = xmdf + temp;
argpm = argpdf - temp;
t3 = t2 * satrec.t;
t4 = t3 * satrec.t;
tempa = tempa - satrec.d2 * t2 - satrec.d3 * t3 - satrec.d4 * t4;
tempe += satrec.bstar * satrec.cc5 * (Math.sin(mm) - satrec.sinmao);
templ = templ + satrec.t3cof * t3 + t4 * (satrec.t4cof + satrec.t * satrec.t5cof);
}
nm = satrec.no;
var em = satrec.ecco;
inclm = satrec.inclo;
if (satrec.method === 'd') {
tc = satrec.t;
var dspaceOptions = {
irez: satrec.irez,
d2201: satrec.d2201,
d2211: satrec.d2211,
d3210: satrec.d3210,
d3222: satrec.d3222,
d4410: satrec.d4410,
d4422: satrec.d4422,
d5220: satrec.d5220,
d5232: satrec.d5232,
d5421: satrec.d5421,
d5433: satrec.d5433,
dedt: satrec.dedt,
del1: satrec.del1,
del2: satrec.del2,
del3: satrec.del3,
didt: satrec.didt,
dmdt: satrec.dmdt,
dnodt: satrec.dnodt,
domdt: satrec.domdt,
argpo: satrec.argpo,
argpdot: satrec.argpdot,
t: satrec.t,
tc: tc,
gsto: satrec.gsto,
xfact: satrec.xfact,
xlamo: satrec.xlamo,
no: satrec.no,
atime: satrec.atime,
em: em,
argpm: argpm,
inclm: inclm,
xli: satrec.xli,
mm: mm,
xni: satrec.xni,
nodem: nodem,
nm: nm
};
var dspaceResult = (0, _dspace["default"])(dspaceOptions);
em = dspaceResult.em;
argpm = dspaceResult.argpm;
inclm = dspaceResult.inclm;
mm = dspaceResult.mm;
nodem = dspaceResult.nodem;
nm = dspaceResult.nm;
}
if (nm <= 0.0) {
// printf("// error nm %f\n", nm);
satrec.error = _SatRec.SatRecError.MeanMotionBelowZero;
// sgp4fix add return
return null;
}
var am = Math.pow(_constants.xke / nm, _constants.x2o3) * tempa * tempa;
nm = _constants.xke / Math.pow(am, 1.5);
em -= tempe;
// fix tolerance for error recognition
// sgp4fix am is fixed from the previous nm check
if (em >= 1.0 || em < -0.001) {
// || (am < 0.95)
// printf("// error em %f\n", em);
satrec.error = _SatRec.SatRecError.MeanEccentricityOutOfRange;
// sgp4fix to return if there is an error in eccentricity
return null;
}
// sgp4fix fix tolerance to avoid a divide by zero
if (em < 1.0e-6) {
em = 1.0e-6;
}
mm += satrec.no * templ;
xlm = mm + argpm + nodem;
nodem %= _constants.twoPi;
argpm %= _constants.twoPi;
xlm %= _constants.twoPi;
mm = (xlm - argpm - nodem) % _constants.twoPi;
var meanElements = {
am: am,
em: em,
im: inclm,
Om: nodem,
om: argpm,
mm: mm,
nm: nm
};
// ----------------- compute extra mean quantities -------------
var sinim = Math.sin(inclm);
var cosim = Math.cos(inclm);
// -------------------- add lunar-solar periodics --------------
var ep = em;
xincp = inclm;
argpp = argpm;
nodep = nodem;
mp = mm;
sinip = sinim;
cosip = cosim;
if (satrec.method === 'd') {
var dpperParameters = {
inclo: satrec.inclo,
init: 'n',
ep: ep,
inclp: xincp,
nodep: nodep,
argpp: argpp,
mp: mp,
opsmode: satrec.operationmode
};
var dpperResult = (0, _dpper["default"])(satrec, dpperParameters);
ep = dpperResult.ep;
nodep = dpperResult.nodep;
argpp = dpperResult.argpp;
mp = dpperResult.mp;
xincp = dpperResult.inclp;
if (xincp < 0.0) {
xincp = -xincp;
nodep += _constants.pi;
argpp -= _constants.pi;
}
if (ep < 0.0 || ep > 1.0) {
// printf("// error ep %f\n", ep);
satrec.error = _SatRec.SatRecError.PerturbedEccentricityOutOfRange;
// sgp4fix add return
return null;
}
}
// -------------------- long period periodics ------------------
if (satrec.method === 'd') {
sinip = Math.sin(xincp);
cosip = Math.cos(xincp);
satrec.aycof = -0.5 * _constants.j3oj2 * sinip;
// sgp4fix for divide by zero for xincp = 180 deg
if (Math.abs(cosip + 1.0) > 1.5e-12) {
satrec.xlcof = -0.25 * _constants.j3oj2 * sinip * (3.0 + 5.0 * cosip) / (1.0 + cosip);
} else {
satrec.xlcof = -0.25 * _constants.j3oj2 * sinip * (3.0 + 5.0 * cosip) / temp4;
}
}
var axnl = ep * Math.cos(argpp);
temp = 1.0 / (am * (1.0 - ep * ep));
var aynl = ep * Math.sin(argpp) + temp * satrec.aycof;
var xl = mp + argpp + nodep + temp * satrec.xlcof * axnl;
// --------------------- solve kepler's equation ---------------
var u = (xl - nodep) % _constants.twoPi;
eo1 = u;
tem5 = 9999.9;
var ktr = 1;
// sgp4fix for kepler iteration
// the following iteration needs better limits on corrections
while (Math.abs(tem5) >= 1.0e-12 && ktr <= 10) {
sineo1 = Math.sin(eo1);
coseo1 = Math.cos(eo1);
tem5 = 1.0 - coseo1 * axnl - sineo1 * aynl;
tem5 = (u - aynl * coseo1 + axnl * sineo1 - eo1) / tem5;
if (Math.abs(tem5) >= 0.95) {
if (tem5 > 0.0) {
tem5 = 0.95;
} else {
tem5 = -0.95;
}
}
eo1 += tem5;
ktr += 1;
}
// ------------- short period preliminary quantities -----------
var ecose = axnl * coseo1 + aynl * sineo1;
var esine = axnl * sineo1 - aynl * coseo1;
var el2 = axnl * axnl + aynl * aynl;
var pl = am * (1.0 - el2);
if (pl < 0.0) {
// printf("// error pl %f\n", pl);
satrec.error = _SatRec.SatRecError.SemiLatusRectumBelowZero;
// sgp4fix add return
return null;
}
var rl = am * (1.0 - ecose);
var rdotl = Math.sqrt(am) * esine / rl;
var rvdotl = Math.sqrt(pl) / rl;
var betal = Math.sqrt(1.0 - el2);
temp = esine / (1.0 + betal);
var sinu = am / rl * (sineo1 - aynl - axnl * temp);
var cosu = am / rl * (coseo1 - axnl + aynl * temp);
su = Math.atan2(sinu, cosu);
var sin2u = (cosu + cosu) * sinu;
var cos2u = 1.0 - 2.0 * sinu * sinu;
temp = 1.0 / pl;
var temp1 = 0.5 * _constants.j2 * temp;
var temp2 = temp1 * temp;
// -------------- update for short period periodics ------------
if (satrec.method === 'd') {
cosisq = cosip * cosip;
satrec.con41 = 3.0 * cosisq - 1.0;
satrec.x1mth2 = 1.0 - cosisq;
satrec.x7thm1 = 7.0 * cosisq - 1.0;
}
var mrt = rl * (1.0 - 1.5 * temp2 * betal * satrec.con41) + 0.5 * temp1 * satrec.x1mth2 * cos2u;
// sgp4fix for decaying satellites
if (mrt < 1.0) {
// printf("// decay condition %11.6f \n",mrt);
satrec.error = _SatRec.SatRecError.Decayed;
return null;
}
su -= 0.25 * temp2 * satrec.x7thm1 * sin2u;
var xnode = nodep + 1.5 * temp2 * cosip * sin2u;
var xinc = xincp + 1.5 * temp2 * cosip * sinip * cos2u;
var mvt = rdotl - nm * temp1 * satrec.x1mth2 * sin2u / _constants.xke;
var rvdot = rvdotl + nm * temp1 * (satrec.x1mth2 * cos2u + 1.5 * satrec.con41) / _constants.xke;
// --------------------- orientation vectors -------------------
var sinsu = Math.sin(su);
var cossu = Math.cos(su);
var snod = Math.sin(xnode);
var cnod = Math.cos(xnode);
var sini = Math.sin(xinc);
var cosi = Math.cos(xinc);
var xmx = -snod * cosi;
var xmy = cnod * cosi;
var ux = xmx * sinsu + cnod * cossu;
var uy = xmy * sinsu + snod * cossu;
var uz = sini * sinsu;
var vx = xmx * cossu - cnod * sinsu;
var vy = xmy * cossu - snod * sinsu;
var vz = sini * cossu;
// --------- position and velocity (in km and km/sec) ----------
var r = {
x: mrt * ux * _constants.earthRadius,
y: mrt * uy * _constants.earthRadius,
z: mrt * uz * _constants.earthRadius
};
var v = {
x: (mvt * ux + rvdot * vx) * _constants.vkmpersec,
y: (mvt * uy + rvdot * vy) * _constants.vkmpersec,
z: (mvt * uz + rvdot * vz) * _constants.vkmpersec
};
return {
position: r,
velocity: v,
meanElements: meanElements
};
}
node_modules/satellite.js/lib/propagation/sgp4init.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports["default"] = sgp4init;
var _constants = require("../constants");
var _dpper = _interopRequireDefault(require("./dpper"));
var _dscom = _interopRequireDefault(require("./dscom"));
var _dsinit = _interopRequireDefault(require("./dsinit"));
var _initl = _interopRequireDefault(require("./initl"));
var _sgp = _interopRequireDefault(require("./sgp4"));
function _interopRequireDefault(e) { return e && e.__esModule ? e : { "default": e }; }
/*-----------------------------------------------------------------------------
*
* procedure sgp4init
*
* this procedure initializes variables for sgp4.
*
* author : david vallado 719-573-2600 28 jun 2005
* author : david vallado 719-573-2600 28 jun 2005
*
* inputs :
* opsmode - mode of operation afspc or improved 'a', 'i'
* satn - satellite number
* bstar - sgp4 type drag coefficient kg/m2er
* ecco - eccentricity
* epoch - epoch time in days from jan 0, 1950. 0 hr
* argpo - argument of perigee (output if ds)
* inclo - inclination
* mo - mean anomaly (output if ds)
* no - mean motion
* nodeo - right ascension of ascending node
*
* outputs :
* rec - common values for subsequent calls
* return code - non-zero on error.
* 1 - mean elements, ecc >= 1.0 or ecc < -0.001 or a < 0.95 er
* 2 - mean motion less than 0.0
* 3 - pert elements, ecc < 0.0 or ecc > 1.0
* 4 - semi-latus rectum < 0.0
* 5 - epoch elements are sub-orbital
* 6 - satellite has decayed
*
* locals :
* cnodm , snodm , cosim , sinim , cosomm , sinomm
* cc1sq , cc2 , cc3
* coef , coef1
* cosio4 -
* day -
* dndt -
* em - eccentricity
* emsq - eccentricity squared
* eeta -
* etasq -
* gam -
* argpm - argument of perigee
* nodem -
* inclm - inclination
* mm - mean anomaly
* nm - mean motion
* perige - perigee
* pinvsq -
* psisq -
* qzms24 -
* rtemsq -
* s1, s2, s3, s4, s5, s6, s7 -
* sfour -
* ss1, ss2, ss3, ss4, ss5, ss6, ss7 -
* sz1, sz2, sz3
* sz11, sz12, sz13, sz21, sz22, sz23, sz31, sz32, sz33 -
* tc -
* temp -
* temp1, temp2, temp3 -
* tsi -
* xpidot -
* xhdot1 -
* z1, z2, z3 -
* z11, z12, z13, z21, z22, z23, z31, z32, z33 -
*
* coupling :
* getgravconst-
* initl -
* dscom -
* dpper -
* dsinit -
* sgp4 -
*
* references :
* hoots, roehrich, norad spacetrack report #3 1980
* hoots, norad spacetrack report #6 1986
* hoots, schumacher and glover 2004
* vallado, crawford, hujsak, kelso 2006
----------------------------------------------------------------------------*/
function sgp4init(satrecInit, options) {
var opsmode = options.opsmode,
satn = options.satn,
epoch = options.epoch,
xbstar = options.xbstar,
xecco = options.xecco,
xargpo = options.xargpo,
xinclo = options.xinclo,
xmo = options.xmo,
xno = options.xno,
xnodeo = options.xnodeo;
var cosim;
var sinim;
var cc1sq;
var cc2;
var cc3;
var coef;
var coef1;
var cosio4;
var em;
var emsq;
var eeta;
var etasq;
var argpm;
var nodem;
var inclm;
var mm;
var nm;
var perige;
var pinvsq;
var psisq;
var qzms24;
var s1;
var s2;
var s3;
var s4;
var s5;
var sfour;
var ss1;
var ss2;
var ss3;
var ss4;
var ss5;
var sz1;
var sz3;
var sz11;
var sz13;
var sz21;
var sz23;
var sz31;
var sz33;
var tc;
var temp;
var temp1;
var temp2;
var temp3;
var tsi;
var xpidot;
var xhdot1;
var z1;
var z3;
var z11;
var z13;
var z21;
var z23;
var z31;
var z33;
/* ------------------------ initialization --------------------- */
// sgp4fix divisor for divide by zero check on inclination
// the old check used 1.0 + Math.cos(pi-1.0e-9), but then compared it to
// 1.5 e-12, so the threshold was changed to 1.5e-12 for consistency
var temp4 = 1.5e-12;
var satrec = satrecInit;
// ----------- set all near earth variables to zero ------------
satrec.isimp = 0;
satrec.method = 'n';
satrec.aycof = 0.0;
satrec.con41 = 0.0;
satrec.cc1 = 0.0;
satrec.cc4 = 0.0;
satrec.cc5 = 0.0;
satrec.d2 = 0.0;
satrec.d3 = 0.0;
satrec.d4 = 0.0;
satrec.delmo = 0.0;
satrec.eta = 0.0;
satrec.argpdot = 0.0;
satrec.omgcof = 0.0;
satrec.sinmao = 0.0;
satrec.t = 0.0;
satrec.t2cof = 0.0;
satrec.t3cof = 0.0;
satrec.t4cof = 0.0;
satrec.t5cof = 0.0;
satrec.x1mth2 = 0.0;
satrec.x7thm1 = 0.0;
satrec.mdot = 0.0;
satrec.nodedot = 0.0;
satrec.xlcof = 0.0;
satrec.xmcof = 0.0;
satrec.nodecf = 0.0;
// ----------- set all deep space variables to zero ------------
satrec.irez = 0;
satrec.d2201 = 0.0;
satrec.d2211 = 0.0;
satrec.d3210 = 0.0;
satrec.d3222 = 0.0;
satrec.d4410 = 0.0;
satrec.d4422 = 0.0;
satrec.d5220 = 0.0;
satrec.d5232 = 0.0;
satrec.d5421 = 0.0;
satrec.d5433 = 0.0;
satrec.dedt = 0.0;
satrec.del1 = 0.0;
satrec.del2 = 0.0;
satrec.del3 = 0.0;
satrec.didt = 0.0;
satrec.dmdt = 0.0;
satrec.dnodt = 0.0;
satrec.domdt = 0.0;
satrec.e3 = 0.0;
satrec.ee2 = 0.0;
satrec.peo = 0.0;
satrec.pgho = 0.0;
satrec.pho = 0.0;
satrec.pinco = 0.0;
satrec.plo = 0.0;
satrec.se2 = 0.0;
satrec.se3 = 0.0;
satrec.sgh2 = 0.0;
satrec.sgh3 = 0.0;
satrec.sgh4 = 0.0;
satrec.sh2 = 0.0;
satrec.sh3 = 0.0;
satrec.si2 = 0.0;
satrec.si3 = 0.0;
satrec.sl2 = 0.0;
satrec.sl3 = 0.0;
satrec.sl4 = 0.0;
satrec.gsto = 0.0;
satrec.xfact = 0.0;
satrec.xgh2 = 0.0;
satrec.xgh3 = 0.0;
satrec.xgh4 = 0.0;
satrec.xh2 = 0.0;
satrec.xh3 = 0.0;
satrec.xi2 = 0.0;
satrec.xi3 = 0.0;
satrec.xl2 = 0.0;
satrec.xl3 = 0.0;
satrec.xl4 = 0.0;
satrec.xlamo = 0.0;
satrec.zmol = 0.0;
satrec.zmos = 0.0;
satrec.atime = 0.0;
satrec.xli = 0.0;
satrec.xni = 0.0;
// sgp4fix - note the following variables are also passed directly via satrec.
// it is possible to streamline the sgp4init call by deleting the "x"
// variables, but the user would need to set the satrec.* values first. we
// include the additional assignments in case twoline2rv is not used.
satrec.bstar = xbstar;
satrec.ecco = xecco;
satrec.argpo = xargpo;
satrec.inclo = xinclo;
satrec.mo = xmo;
satrec.no = xno;
satrec.nodeo = xnodeo;
// sgp4fix add opsmode
satrec.operationmode = opsmode;
// ------------------------ earth constants -----------------------
// sgp4fix identify constants and allow alternate values
var ss = 78.0 / _constants.earthRadius + 1.0;
// sgp4fix use multiply for speed instead of pow
var qzms2ttemp = (120.0 - 78.0) / _constants.earthRadius;
var qzms2t = qzms2ttemp * qzms2ttemp * qzms2ttemp * qzms2ttemp;
satrec.init = 'y';
satrec.t = 0.0;
var initlOptions = {
satn: satn,
ecco: satrec.ecco,
epoch: epoch,
inclo: satrec.inclo,
no: satrec.no,
method: satrec.method,
opsmode: satrec.operationmode
};
var initlResult = (0, _initl["default"])(initlOptions);
var ao = initlResult.ao,
con42 = initlResult.con42,
cosio = initlResult.cosio,
cosio2 = initlResult.cosio2,
eccsq = initlResult.eccsq,
omeosq = initlResult.omeosq,
posq = initlResult.posq,
rp = initlResult.rp,
rteosq = initlResult.rteosq,
sinio = initlResult.sinio;
satrec.no = initlResult.no;
satrec.con41 = initlResult.con41;
satrec.gsto = initlResult.gsto;
satrec.a = Math.pow(satrec.no * _constants.tumin, -2.0 / 3.0);
satrec.alta = satrec.a * (1.0 + satrec.ecco) - 1.0;
satrec.altp = satrec.a * (1.0 - satrec.ecco) - 1.0;
satrec.error = 0;
// sgp4fix remove this check as it is unnecessary
// the mrt check in sgp4 handles decaying satellite cases even if the starting
// condition is below the surface of te earth
// if (rp < 1.0)
// {
// printf("// *** satn%d epoch elts sub-orbital ***\n", satn);
// satrec.error = 5;
// }
if (omeosq >= 0.0 || satrec.no >= 0.0) {
satrec.isimp = 0;
if (rp < 220.0 / _constants.earthRadius + 1.0) {
satrec.isimp = 1;
}
sfour = ss;
qzms24 = qzms2t;
perige = (rp - 1.0) * _constants.earthRadius;
// - for perigees below 156 km, s and qoms2t are altered -
if (perige < 156.0) {
sfour = perige - 78.0;
if (perige < 98.0) {
sfour = 20.0;
}
// sgp4fix use multiply for speed instead of pow
var qzms24temp = (120.0 - sfour) / _constants.earthRadius;
qzms24 = qzms24temp * qzms24temp * qzms24temp * qzms24temp;
sfour = sfour / _constants.earthRadius + 1.0;
}
pinvsq = 1.0 / posq;
tsi = 1.0 / (ao - sfour);
satrec.eta = ao * satrec.ecco * tsi;
etasq = satrec.eta * satrec.eta;
eeta = satrec.ecco * satrec.eta;
psisq = Math.abs(1.0 - etasq);
coef = qzms24 * Math.pow(tsi, 4.0);
coef1 = coef / Math.pow(psisq, 3.5);
cc2 = coef1 * satrec.no * (ao * (1.0 + 1.5 * etasq + eeta * (4.0 + etasq)) + 0.375 * _constants.j2 * tsi / psisq * satrec.con41 * (8.0 + 3.0 * etasq * (8.0 + etasq)));
satrec.cc1 = satrec.bstar * cc2;
cc3 = 0.0;
if (satrec.ecco > 1.0e-4) {
cc3 = -2.0 * coef * tsi * _constants.j3oj2 * satrec.no * sinio / satrec.ecco;
}
satrec.x1mth2 = 1.0 - cosio2;
satrec.cc4 = 2.0 * satrec.no * coef1 * ao * omeosq * (satrec.eta * (2.0 + 0.5 * etasq) + satrec.ecco * (0.5 + 2.0 * etasq) - _constants.j2 * tsi / (ao * psisq) * (-3.0 * satrec.con41 * (1.0 - 2.0 * eeta + etasq * (1.5 - 0.5 * eeta)) + 0.75 * satrec.x1mth2 * (2.0 * etasq - eeta * (1.0 + etasq)) * Math.cos(2.0 * satrec.argpo)));
satrec.cc5 = 2.0 * coef1 * ao * omeosq * (1.0 + 2.75 * (etasq + eeta) + eeta * etasq);
cosio4 = cosio2 * cosio2;
temp1 = 1.5 * _constants.j2 * pinvsq * satrec.no;
temp2 = 0.5 * temp1 * _constants.j2 * pinvsq;
temp3 = -0.46875 * _constants.j4 * pinvsq * pinvsq * satrec.no;
satrec.mdot = satrec.no + 0.5 * temp1 * rteosq * satrec.con41 + 0.0625 * temp2 * rteosq * (13.0 - 78.0 * cosio2 + 137.0 * cosio4);
satrec.argpdot = -0.5 * temp1 * con42 + 0.0625 * temp2 * (7.0 - 114.0 * cosio2 + 395.0 * cosio4) + temp3 * (3.0 - 36.0 * cosio2 + 49.0 * cosio4);
xhdot1 = -temp1 * cosio;
satrec.nodedot = xhdot1 + (0.5 * temp2 * (4.0 - 19.0 * cosio2) + 2.0 * temp3 * (3.0 - 7.0 * cosio2)) * cosio;
xpidot = satrec.argpdot + satrec.nodedot;
satrec.omgcof = satrec.bstar * cc3 * Math.cos(satrec.argpo);
satrec.xmcof = 0.0;
if (satrec.ecco > 1.0e-4) {
satrec.xmcof = -_constants.x2o3 * coef * satrec.bstar / eeta;
}
satrec.nodecf = 3.5 * omeosq * xhdot1 * satrec.cc1;
satrec.t2cof = 1.5 * satrec.cc1;
// sgp4fix for divide by zero with xinco = 180 deg
if (Math.abs(cosio + 1.0) > 1.5e-12) {
satrec.xlcof = -0.25 * _constants.j3oj2 * sinio * (3.0 + 5.0 * cosio) / (1.0 + cosio);
} else {
satrec.xlcof = -0.25 * _constants.j3oj2 * sinio * (3.0 + 5.0 * cosio) / temp4;
}
satrec.aycof = -0.5 * _constants.j3oj2 * sinio;
// sgp4fix use multiply for speed instead of pow
var delmotemp = 1.0 + satrec.eta * Math.cos(satrec.mo);
satrec.delmo = delmotemp * delmotemp * delmotemp;
satrec.sinmao = Math.sin(satrec.mo);
satrec.x7thm1 = 7.0 * cosio2 - 1.0;
// --------------- deep space initialization -------------
if (2 * _constants.pi / satrec.no >= 225.0) {
satrec.method = 'd';
satrec.isimp = 1;
tc = 0.0;
inclm = satrec.inclo;
var dscomOptions = {
epoch: epoch,
ep: satrec.ecco,
argpp: satrec.argpo,
tc: tc,
inclp: satrec.inclo,
nodep: satrec.nodeo,
np: satrec.no,
e3: satrec.e3,
ee2: satrec.ee2,
peo: satrec.peo,
pgho: satrec.pgho,
pho: satrec.pho,
pinco: satrec.pinco,
plo: satrec.plo,
se2: satrec.se2,
se3: satrec.se3,
sgh2: satrec.sgh2,
sgh3: satrec.sgh3,
sgh4: satrec.sgh4,
sh2: satrec.sh2,
sh3: satrec.sh3,
si2: satrec.si2,
si3: satrec.si3,
sl2: satrec.sl2,
sl3: satrec.sl3,
sl4: satrec.sl4,
xgh2: satrec.xgh2,
xgh3: satrec.xgh3,
xgh4: satrec.xgh4,
xh2: satrec.xh2,
xh3: satrec.xh3,
xi2: satrec.xi2,
xi3: satrec.xi3,
xl2: satrec.xl2,
xl3: satrec.xl3,
xl4: satrec.xl4,
zmol: satrec.zmol,
zmos: satrec.zmos
};
var dscomResult = (0, _dscom["default"])(dscomOptions);
satrec.e3 = dscomResult.e3;
satrec.ee2 = dscomResult.ee2;
satrec.peo = dscomResult.peo;
satrec.pgho = dscomResult.pgho;
satrec.pho = dscomResult.pho;
satrec.pinco = dscomResult.pinco;
satrec.plo = dscomResult.plo;
satrec.se2 = dscomResult.se2;
satrec.se3 = dscomResult.se3;
satrec.sgh2 = dscomResult.sgh2;
satrec.sgh3 = dscomResult.sgh3;
satrec.sgh4 = dscomResult.sgh4;
satrec.sh2 = dscomResult.sh2;
satrec.sh3 = dscomResult.sh3;
satrec.si2 = dscomResult.si2;
satrec.si3 = dscomResult.si3;
satrec.sl2 = dscomResult.sl2;
satrec.sl3 = dscomResult.sl3;
satrec.sl4 = dscomResult.sl4;
sinim = dscomResult.sinim;
cosim = dscomResult.cosim;
em = dscomResult.em;
emsq = dscomResult.emsq;
s1 = dscomResult.s1;
s2 = dscomResult.s2;
s3 = dscomResult.s3;
s4 = dscomResult.s4;
s5 = dscomResult.s5;
ss1 = dscomResult.ss1;
ss2 = dscomResult.ss2;
ss3 = dscomResult.ss3;
ss4 = dscomResult.ss4;
ss5 = dscomResult.ss5;
sz1 = dscomResult.sz1;
sz3 = dscomResult.sz3;
sz11 = dscomResult.sz11;
sz13 = dscomResult.sz13;
sz21 = dscomResult.sz21;
sz23 = dscomResult.sz23;
sz31 = dscomResult.sz31;
sz33 = dscomResult.sz33;
satrec.xgh2 = dscomResult.xgh2;
satrec.xgh3 = dscomResult.xgh3;
satrec.xgh4 = dscomResult.xgh4;
satrec.xh2 = dscomResult.xh2;
satrec.xh3 = dscomResult.xh3;
satrec.xi2 = dscomResult.xi2;
satrec.xi3 = dscomResult.xi3;
satrec.xl2 = dscomResult.xl2;
satrec.xl3 = dscomResult.xl3;
satrec.xl4 = dscomResult.xl4;
satrec.zmol = dscomResult.zmol;
satrec.zmos = dscomResult.zmos;
nm = dscomResult.nm;
z1 = dscomResult.z1;
z3 = dscomResult.z3;
z11 = dscomResult.z11;
z13 = dscomResult.z13;
z21 = dscomResult.z21;
z23 = dscomResult.z23;
z31 = dscomResult.z31;
z33 = dscomResult.z33;
var dpperOptions = {
inclo: inclm,
init: satrec.init,
ep: satrec.ecco,
inclp: satrec.inclo,
nodep: satrec.nodeo,
argpp: satrec.argpo,
mp: satrec.mo,
opsmode: satrec.operationmode
};
var dpperResult = (0, _dpper["default"])(satrec, dpperOptions);
satrec.ecco = dpperResult.ep;
satrec.inclo = dpperResult.inclp;
satrec.nodeo = dpperResult.nodep;
satrec.argpo = dpperResult.argpp;
satrec.mo = dpperResult.mp;
argpm = 0.0;
nodem = 0.0;
mm = 0.0;
var dsinitOptions = {
cosim: cosim,
emsq: emsq,
argpo: satrec.argpo,
s1: s1,
s2: s2,
s3: s3,
s4: s4,
s5: s5,
sinim: sinim,
ss1: ss1,
ss2: ss2,
ss3: ss3,
ss4: ss4,
ss5: ss5,
sz1: sz1,
sz3: sz3,
sz11: sz11,
sz13: sz13,
sz21: sz21,
sz23: sz23,
sz31: sz31,
sz33: sz33,
t: satrec.t,
tc: tc,
gsto: satrec.gsto,
mo: satrec.mo,
mdot: satrec.mdot,
no: satrec.no,
nodeo: satrec.nodeo,
nodedot: satrec.nodedot,
xpidot: xpidot,
z1: z1,
z3: z3,
z11: z11,
z13: z13,
z21: z21,
z23: z23,
z31: z31,
z33: z33,
ecco: satrec.ecco,
eccsq: eccsq,
em: em,
argpm: argpm,
inclm: inclm,
mm: mm,
nm: nm,
nodem: nodem,
irez: satrec.irez,
atime: satrec.atime,
d2201: satrec.d2201,
d2211: satrec.d2211,
d3210: satrec.d3210,
d3222: satrec.d3222,
d4410: satrec.d4410,
d4422: satrec.d4422,
d5220: satrec.d5220,
d5232: satrec.d5232,
d5421: satrec.d5421,
d5433: satrec.d5433,
dedt: satrec.dedt,
didt: satrec.didt,
dmdt: satrec.dmdt,
dnodt: satrec.dnodt,
domdt: satrec.domdt,
del1: satrec.del1,
del2: satrec.del2,
del3: satrec.del3,
xfact: satrec.xfact,
xlamo: satrec.xlamo,
xli: satrec.xli,
xni: satrec.xni
};
var dsinitResult = (0, _dsinit["default"])(dsinitOptions);
satrec.irez = dsinitResult.irez;
satrec.atime = dsinitResult.atime;
satrec.d2201 = dsinitResult.d2201;
satrec.d2211 = dsinitResult.d2211;
satrec.d3210 = dsinitResult.d3210;
satrec.d3222 = dsinitResult.d3222;
satrec.d4410 = dsinitResult.d4410;
satrec.d4422 = dsinitResult.d4422;
satrec.d5220 = dsinitResult.d5220;
satrec.d5232 = dsinitResult.d5232;
satrec.d5421 = dsinitResult.d5421;
satrec.d5433 = dsinitResult.d5433;
satrec.dedt = dsinitResult.dedt;
satrec.didt = dsinitResult.didt;
satrec.dmdt = dsinitResult.dmdt;
satrec.dnodt = dsinitResult.dnodt;
satrec.domdt = dsinitResult.domdt;
satrec.del1 = dsinitResult.del1;
satrec.del2 = dsinitResult.del2;
satrec.del3 = dsinitResult.del3;
satrec.xfact = dsinitResult.xfact;
satrec.xlamo = dsinitResult.xlamo;
satrec.xli = dsinitResult.xli;
satrec.xni = dsinitResult.xni;
}
// ----------- set variables if not deep space -----------
if (satrec.isimp !== 1) {
cc1sq = satrec.cc1 * satrec.cc1;
satrec.d2 = 4.0 * ao * tsi * cc1sq;
temp = satrec.d2 * tsi * satrec.cc1 / 3.0;
satrec.d3 = (17.0 * ao + sfour) * temp;
satrec.d4 = 0.5 * temp * ao * tsi * (221.0 * ao + 31.0 * sfour) * satrec.cc1;
satrec.t3cof = satrec.d2 + 2.0 * cc1sq;
satrec.t4cof = 0.25 * (3.0 * satrec.d3 + satrec.cc1 * (12.0 * satrec.d2 + 10.0 * cc1sq));
satrec.t5cof = 0.2 * (3.0 * satrec.d4 + 12.0 * satrec.cc1 * satrec.d3 + 6.0 * satrec.d2 * satrec.d2 + 15.0 * cc1sq * (2.0 * satrec.d2 + cc1sq));
}
/* finally propogate to zero epoch to initialize all others. */
// sgp4fix take out check to let satellites process until they are actually below earth surface
// if(satrec.error == 0)
}
(0, _sgp["default"])(satrec, 0);
satrec.init = 'n';
}
node_modules/satellite.js/lib/sun.js
Generated Vendored
+131
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@@ -0,0 +1,131 @@
"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports.sunPos = sunPos;
var _constants = require("./constants");
////////////////////////////////////////////////////////////////////////////////////
/* Line by Line MATLAB-to-Javascript conversion of "sun.mat" from Vallado package */
////////////////////////////////////////////////////////////////////////////////////
/* -----------------------------------------------------------------------------
*
* function sunPos
*
* this function calculates the geocentric equatorial position vector
* the sun given the julian date. this is the low precision formula and
* is valid for years from 1950 to 2050. accuaracy of apparent coordinates
* is 0.01 degrees. notice many of the calculations are performed in
* degrees, and are not changed until later. this is due to the fact that
* the almanac uses degrees exclusively in their formulations.
*
* author : david vallado 719-573-2600 1 mar 2001
*
* inputs description range / units
* jd - julian date days from 4713 bc
*
* outputs :
* rsun - ijk position vector of the sun au
* rtasc - right ascension rad
* decl - declination rad
*
* coupling :
* -
*
* references :
* VALLADO, DAVID A. (2022) ‘Computer software in MATLAB’, in Fundamentals of astrodynamics and applications. 5th edn.
* Computer software in MATLAB: http://celestrak.org/software/vallado-sw.php
* --------------------------------------------------------------------------- */
function sunPos(jday) {
// ------------------------- implementation -----------------
// ------------------- initialize values --------------------
var tut1 = (jday - 2451545) / 36525;
var meanlong = (280.460 + 36000.77 * tut1) % 360; //deg
var ttdb = tut1; // is this declaration required instead of replacing `ttdb` with `tut1`
var meananomaly = (357.5277233 + 35999.05034 * ttdb * _constants.deg2rad) % _constants.twoPi; //rad
if (meananomaly < 0) {
meananomaly += _constants.twoPi;
}
var eclplong_raw = (meanlong + 1.914666471 * Math.sin(meananomaly) + 0.019994643 * Math.sin(2.0 * meananomaly)) % 360.0 * _constants.deg2rad; //rad
var obliquity = (23.439291 - 0.0130042 * ttdb) * _constants.deg2rad; //rad
// --------- find magnitude of sun vector, and it's components ------
var magr = 1.000140612 - 0.016708617 * Math.cos(meananomaly) - 0.000139589 * Math.cos(2.0 * meananomaly); // in au's
var rsun = [magr * Math.cos(eclplong_raw), magr * Math.cos(obliquity) * Math.sin(eclplong_raw), magr * Math.sin(obliquity) * Math.sin(eclplong_raw)];
var rtasc_raw = Math.atan(Math.cos(obliquity) * Math.tan(eclplong_raw));
// --- check that rtasc is in the same quadrant as eclplong_raw ----
var eclplong = eclplong_raw;
if (eclplong < 0.0) {
eclplong += _constants.twoPi; // make sure it's in 0 to 2pi range
}
var rtasc = rtasc_raw;
if (Math.abs(eclplong_raw - rtasc) > _constants.pi * 0.5) {
rtasc += 0.5 * _constants.pi * Math.round((eclplong_raw - rtasc_raw) / (0.5 * _constants.pi));
}
var decl = Math.asin(Math.sin(obliquity) * Math.sin(eclplong_raw));
return {
rsun: rsun,
rtasc: rtasc,
decl: decl
};
}
/* Original MATLAB code for Sun position from Vallado package (sun.mat) */
/*
function [rsun,rtasc,decl] = sun ( jd );
twopi = 2.0*pi;
deg2rad = pi/180.0;
show = 'n';
% ------------------------- implementation -----------------
% ------------------- initialize values --------------------
tut1= ( jd - 2451545.0 )/ 36525.0;
if show == 'y'
fprintf(1,'tut1 %14.9f \n',tut1);
end
meanlong= 280.460 + 36000.77*tut1;
meanlong= rem( meanlong,360.0 ); %deg
ttdb= tut1;
meananomaly= 357.5277233 + 35999.05034 *ttdb;
meananomaly= rem( meananomaly*deg2rad,twopi ); %rad
if ( meananomaly < 0.0 )
meananomaly= twopi + meananomaly;
end
eclplong_raw= meanlong + 1.914666471 *sin(meananomaly) ...
+ 0.019994643 *sin(2.0 *meananomaly); %deg
eclplong_raw= rem( eclplong_raw,360.0 ); %deg
obliquity= 23.439291 - 0.0130042 *ttdb; %deg
eclplong_raw = eclplong_raw *deg2rad;
obliquity= obliquity *deg2rad;
% --------- find magnitude of sun vector, ) components ------
magr= 1.000140612 - 0.016708617 *cos( meananomaly ) ...
- 0.000139589 *cos( 2.0 *meananomaly ); % in au's
rsun(1)= magr*cos( eclplong_raw );
rsun(2)= magr*cos(obliquity)*sin(eclplong_raw);
rsun(3)= magr*sin(obliquity)*sin(eclplong_raw);
if show == 'y'
fprintf(1,'meanlon %11.6f meanan %11.6f eclplon %11.6f obli %11.6f \n', ...
meanlong,meananomaly/deg2rad,eclplong_raw/deg2rad,obliquity/deg2rad);
fprintf(1,'rs %11.9f %11.9f %11.9f \n',rsun);
fprintf(1,'magr %14.7f \n',magr);
end
rtasc= atan( cos(obliquity)*tan(eclplong_raw) );
% --- check that rtasc is in the same quadrant as eclplong_raw ----
if ( eclplong_raw < 0.0 )
eclplong_raw= eclplong_raw + twopi; % make sure it's in 0 to 2pi range
end
if ( abs( eclplong_raw-rtasc ) > pi*0.5 )
rtasc= rtasc + 0.5 *pi*round( (eclplong_raw-rtasc)/(0.5 *pi));
end
decl = asin( sin(obliquity)*sin(eclplong_raw) );
*/
node_modules/satellite.js/lib/transforms.js
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"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports.degreesLat = degreesLat;
exports.degreesLong = degreesLong;
exports.degreesToRadians = degreesToRadians;
exports.ecfToEci = ecfToEci;
exports.ecfToLookAngles = ecfToLookAngles;
exports.eciToEcf = eciToEcf;
exports.eciToGeodetic = eciToGeodetic;
exports.geodeticToEcf = geodeticToEcf;
exports.radiansLat = radiansLat;
exports.radiansLong = radiansLong;
exports.radiansToDegrees = radiansToDegrees;
var _constants = require("./constants");
function radiansToDegrees(radians) {
return radians * _constants.rad2deg;
}
function degreesToRadians(degrees) {
return degrees * _constants.deg2rad;
}
function degreesLat(radians) {
if (radians < -_constants.pi / 2 || radians > _constants.pi / 2) {
throw new RangeError('Latitude radians must be in range [-pi/2; pi/2].');
}
return radiansToDegrees(radians);
}
function degreesLong(radians) {
if (radians < -_constants.pi || radians > _constants.pi) {
throw new RangeError('Longitude radians must be in range [-pi; pi].');
}
return radiansToDegrees(radians);
}
function radiansLat(degrees) {
if (degrees < -90 || degrees > 90) {
throw new RangeError('Latitude degrees must be in range [-90; 90].');
}
return degreesToRadians(degrees);
}
function radiansLong(degrees) {
if (degrees < -180 || degrees > 180) {
throw new RangeError('Longitude degrees must be in range [-180; 180].');
}
return degreesToRadians(degrees);
}
function geodeticToEcf(_ref) {
var longitude = _ref.longitude,
latitude = _ref.latitude,
height = _ref.height;
var a = 6378.137;
var b = 6356.7523142;
var f = (a - b) / a;
var e2 = 2 * f - f * f;
var normal = a / Math.sqrt(1 - e2 * (Math.sin(latitude) * Math.sin(latitude)));
var x = (normal + height) * Math.cos(latitude) * Math.cos(longitude);
var y = (normal + height) * Math.cos(latitude) * Math.sin(longitude);
var z = (normal * (1 - e2) + height) * Math.sin(latitude);
return {
x: x,
y: y,
z: z
};
}
function eciToGeodetic(eci, gmst) {
// http://www.celestrak.com/columns/v02n03/
var a = 6378.137;
var b = 6356.7523142;
var R = Math.sqrt(eci.x * eci.x + eci.y * eci.y);
var f = (a - b) / a;
var e2 = 2 * f - f * f;
var longitude = Math.atan2(eci.y, eci.x) - gmst;
while (longitude < -_constants.pi) {
longitude += _constants.twoPi;
}
while (longitude > _constants.pi) {
longitude -= _constants.twoPi;
}
var kmax = 20;
var k = 0;
var latitude = Math.atan2(eci.z, Math.sqrt(eci.x * eci.x + eci.y * eci.y));
var C;
while (k++ < kmax) {
C = 1 / Math.sqrt(1 - e2 * (Math.sin(latitude) * Math.sin(latitude)));
latitude = Math.atan2(eci.z + a * C * e2 * Math.sin(latitude), R);
}
var height = R / Math.cos(latitude) - a * C;
return {
longitude: longitude,
latitude: latitude,
height: height
};
}
function ecfToEci(ecf, gmst) {
// ccar.colorado.edu/ASEN5070/handouts/coordsys.doc
//
// [X] [C -S 0][X]
// [Y] = [S C 0][Y]
// [Z]eci [0 0 1][Z]ecf
//
var X = ecf.x * Math.cos(gmst) - ecf.y * Math.sin(gmst);
var Y = ecf.x * Math.sin(gmst) + ecf.y * Math.cos(gmst);
var Z = ecf.z;
return {
x: X,
y: Y,
z: Z
};
}
function eciToEcf(eci, gmst) {
// ccar.colorado.edu/ASEN5070/handouts/coordsys.doc
//
// [X] [C -S 0][X]
// [Y] = [S C 0][Y]
// [Z]eci [0 0 1][Z]ecf
//
//
// Inverse:
// [X] [C S 0][X]
// [Y] = [-S C 0][Y]
// [Z]ecf [0 0 1][Z]eci
var x = eci.x * Math.cos(gmst) + eci.y * Math.sin(gmst);
var y = eci.x * -Math.sin(gmst) + eci.y * Math.cos(gmst);
var z = eci.z;
return {
x: x,
y: y,
z: z
};
}
function topocentric(observerGeodetic, satelliteEcf) {
// http://www.celestrak.com/columns/v02n02/
// TS Kelso's method, except I'm using ECF frame
// and he uses ECI.
var longitude = observerGeodetic.longitude,
latitude = observerGeodetic.latitude;
var observerEcf = geodeticToEcf(observerGeodetic);
var rx = satelliteEcf.x - observerEcf.x;
var ry = satelliteEcf.y - observerEcf.y;
var rz = satelliteEcf.z - observerEcf.z;
var topS = Math.sin(latitude) * Math.cos(longitude) * rx + Math.sin(latitude) * Math.sin(longitude) * ry - Math.cos(latitude) * rz;
var topE = -Math.sin(longitude) * rx + Math.cos(longitude) * ry;
var topZ = Math.cos(latitude) * Math.cos(longitude) * rx + Math.cos(latitude) * Math.sin(longitude) * ry + Math.sin(latitude) * rz;
return {
topS: topS,
topE: topE,
topZ: topZ
};
}
function topocentricToLookAngles(tc) {
var topS = tc.topS,
topE = tc.topE,
topZ = tc.topZ;
var rangeSat = Math.sqrt(topS * topS + topE * topE + topZ * topZ);
var El = Math.asin(topZ / rangeSat);
var Az = Math.atan2(-topE, topS) + _constants.pi;
return {
azimuth: Az,
elevation: El,
rangeSat: rangeSat // Range in km
};
}
function ecfToLookAngles(observerGeodetic, satelliteEcf) {
var topocentricCoords = topocentric(observerGeodetic, satelliteEcf);
return topocentricToLookAngles(topocentricCoords);
}
node_modules/satellite.js/package.json
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{
"name": "satellite.js",
"version": "6.0.2",
"description": "SGP4/SDP4 calculation library",
"main": "lib/index.js",
"jsnext:main": "dist/satellite.es.js",
"types": "types/index.d.ts",
"module": "dist/satellite.es.js",
"scripts": {
"build": "rimraf lib dist compiled types && tsc && npm run transpile && npm run dist",
"transpile": "babel compiled --out-dir lib --ignore indexUmd.js",
"dist": "npm run dist:es && npm run dist:umd:dev && npm run dist:umd:prod",
"dist:es": "rollup --bundleConfigAsCjs --config rollup.config.es.js",
"dist:umd": "rollup --bundleConfigAsCjs --config rollup.config.js",
"dist:umd:dev": "cross-env NODE_ENV=development npm run dist:umd",
"dist:umd:prod": "cross-env NODE_ENV=production npm run dist:umd",
"watch:es": "node --require @babel/register rollup.watch.es.js",
"copy": "copyfiles -u 1 'dist/**/*' sgp4_verification/lib/sgp4",
"lint": "eslint src",
"lint:test": "eslint test",
"test": "jest",
"test:coverage": "jest --coverage",
"raise": "raise-version"
},
"repository": {
"type": "git",
"url": "git://github.com/shashwatak/satellite-js"
},
"keywords": [
"sgp4",
"sdp4",
"satellite",
"TLE",
"two-line elements",
"OMM",
"sgp4prop"
],
"author": "Shashwat Kandadai <shashwatak@gmail.com> (https://github.com/shashwatak)",
"contributors": [
"Dmitriy Pushkov <ezze@ezze.org> (http://www.ezze.org)"
],
"license": "MIT",
"bugs": {
"url": "https://github.com/shashwatak/satellite-js/issues"
},
"devDependencies": {
"@babel/cli": "^7.20.7",
"@babel/core": "^7.20.12",
"@babel/plugin-proposal-class-properties": "^7.18.6",
"@babel/plugin-proposal-json-strings": "^7.18.6",
"@babel/plugin-syntax-dynamic-import": "^7.8.3",
"@babel/plugin-syntax-import-meta": "^7.10.4",
"@babel/preset-env": "^7.20.2",
"@babel/register": "^7.18.9",
"@eslint/js": "^9.22.0",
"@rollup/plugin-babel": "^6.0.3",
"@rollup/plugin-terser": "^0.2.1",
"chokidar": "^3.5.3",
"copyfiles": "^2.4.1",
"cross-env": "^7.0.3",
"eslint": "^9.22.0",
"eslint-plugin-import": "^2.26.0",
"glob": "^8.0.3",
"jest": "^29.7.0",
"prepend-file": "^2.0.1",
"raise-version": "^0.5.0",
"rimraf": "^3.0.2",
"rollup": "^3.9.1",
"typescript": "^5.8.2",
"typescript-eslint": "^8.26.1"
},
"jest": {
"testPathIgnorePatterns": [
"node_modules",
"test/propagation/sgp4Catalog.test.js"
]
},
"homepage": "https://github.com/shashwatak/satellite-js",
"directories": {
"lib": "lib",
"test": "test"
}
}
node_modules/satellite.js/satellite.js-6.0.2.tgz
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node_modules/satellite.js/tsconfig.json
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{
"compilerOptions": {
"target": "ES6",
"strict": true,
"allowUnusedLabels": false,
"allowUnreachableCode": false,
"exactOptionalPropertyTypes": true,
"noFallthroughCasesInSwitch": true,
"noImplicitOverride": true,
"noImplicitReturns": true,
"noPropertyAccessFromIndexSignature": true,
"noUncheckedIndexedAccess": true,
"noUnusedLocals": true,
"noUnusedParameters": true,
"isolatedModules": true,
"esModuleInterop": true,
"skipLibCheck": true,
"declaration": true,
"declarationDir": "./types",
"outDir": "./compiled",
},
"$schema": "https://json.schemastore.org/tsconfig",
"display": "Strictest (minus esModuleInterop)",
"include": [
"src/**.ts",
],
}
node_modules/satellite.js/types/common-types.d.ts
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/**
* Type alias documents units are kilometer (km)
*/
export type Kilometer = number;
/**
* Type alias documents units are kilometer per second (km/s)
*/
export type KilometerPerSecond = number;
/**
* Type alias documents units are radians
*/
export type Radians = number;
/**
* Type alias documents units are degrees
*/
export type Degrees = number;
/**
* Type alias documents units for mean motion are radians per minute
*/
export type RadiansPerMinute = number;
/**
* Type alias documents units for semi-major axis (earth radii)
*/
export type EarthRadii = number;
/**
* Coordinate frame Earth Centered Inertial (ECI)
* https://en.wikipedia.org/wiki/Earth-centered_inertial
*/
export interface EciVec3<T> {
x: T;
y: T;
z: T;
}
/**
* Coordinate frame Earth Centered Fixed (ECF)
* https://en.wikipedia.org/wiki/ECEF
*/
export interface EcfVec3<T> {
x: T;
y: T;
z: T;
}
/**
* A set of "singly averaged mean elements" that describe shape of the
* satellite’s orbit at the propagation date. They are averaged
* with respect to the mean anomaly and include the effects of secular
* gravity, atmospheric drag, and - in Deep Space mode - of those
* pertubations from the Sun and Moon that SGP4 averages over an entire
* revolution of each of those bodies. They omit both the shorter-term
* and longer-term periodic pertubations from the Sun and Moon that
* SGP4 applies right before computing each position.
*/
export interface MeanElements {
/**
* Average semi-major axis (earth radii).
*/
am: EarthRadii;
/**
* Average eccentricity.
*/
em: number;
/**
* Average inclination (radians).
*/
im: Radians;
/**
* Average right ascension of ascending node (radians).
*/
Om: Radians;
/**
* Average argument of perigee (radians).
*/
om: Radians;
/**
* Average mean anomaly (radians).
*/
mm: Radians;
/**
* Average mean motion (radians/minute).
*/
nm: RadiansPerMinute;
}
/**
* The position_velocity result is a key-value pair of ECI coordinates.
* These are the base results from which all other coordinates are derived.
* If there is an error the position and velocity will be false.
* The meanElements are the averaged elements of the orbit at the
* moment of propagation.
*/
export interface PositionAndVelocity {
position: EciVec3<Kilometer>;
velocity: EciVec3<KilometerPerSecond>;
meanElements: MeanElements;
}
/**
* https://en.wikipedia.org/wiki/Geographic_coordinate_system#Latitude_and_longitude
*/
export interface GeodeticLocation {
longitude: Radians;
latitude: Radians;
height: Kilometer;
}
/**
* You will need GMST for some of the coordinate transforms.
* GMST - Greenwich Mean Sidereal Time
* http://en.wikipedia.org/wiki/Sidereal_time#Definition
*/
export type GMSTime = number;
/**
* https://en.wikipedia.org/wiki/Azimuth
*/
export interface LookAngles {
azimuth: Radians;
elevation: Radians;
rangeSat: Kilometer;
}
type StartsWith<T extends string> = `${T}${string}`;
/**
* This is the base interface for the OMM JSON object as specified in Orbit Data Messages
* recommended standard, version 3.0.
*
* Note that this is not a 1:1 mapping. Only the fields that are necessary to propagate
* a satellite orbit are made required. For example, CCSDS_OMM_VERS is required by the spec,
* but is not present in Celestrak OMM output, and is not required to propagate the satellite,
* so it is made optional here.
*
* Numeric fields may be represented as strings or numbers in the original json, depending on
* the source. This is because the spec doesn't specify the type, and different sources use
* different types: at the time of writing, Celestrak uses numbers, while SpaceTrack uses strings.
*/
export interface OMMJsonObjectV3 {
/**
* The version is restricted in TypeScript to only among the ones this library supports.
* Versions are incremented on breaking changes, so it is adviced you validate this field.
*
* NOTE: This is required field in OMM spec, but Celestrak omits it, so we make it optional
* and assume version 3.0 if not present.
*/
CCSDS_OMM_VERS?: StartsWith<'3.'>;
COMMENT?: string;
CLASSIFICATION?: string;
OBJECT_NAME: string;
/**
* Recommended, but not required, to be an International spacecraft designator.
*/
OBJECT_ID: string;
/**
* NOTE: This is required field in OMM spec, but Celestrak omits it, so we make it optional.
* If present, it is restricted to only the value this library supports.
*/
CENTER_NAME?: 'EARTH';
/**
* NOTE: This is required field in OMM spec, but Celestrak omits it, so we make it optional.
* If present, it is restricted to only 'TEME' as it is the only value that can come with
* SGP ephemeris type.
*/
REF_FRAME?: 'TEME';
/**
* NOTE: This is required field in OMM spec, but Celestrak omits it, so we make it optional
*/
REF_FRAME_EPOCH?: string;
/**
* NOTE: This is required field in OMM spec, but Celestrak omits it, so we make it optional
*/
TIME_SYSTEM?: 'UTC';
/**
* NOTE: This is required field in OMM spec, but Celestrak omits it, so we make it optional
*/
MEAN_ELEMENT_THEORY?: 'SGP4';
/**
* NOTE: This is required field in OMM spec, but Celestrak omits it, so we make it optional
*/
CREATION_DATE?: string;
/**
* NOTE: This is required field in OMM spec, but Celestrak omits it, so we make it optional
*/
ORIGINATOR?: string;
/**
* ISO datetime
*/
EPOCH: string;
MEAN_MOTION: string | number;
ECCENTRICITY: string | number;
/**
* Degrees
*/
INCLINATION: number | string;
RA_OF_ASC_NODE: number | string;
/**
* Degrees
*/
ARG_OF_PERICENTER: number | string;
/**
* Degrees
*/
MEAN_ANOMALY: number | string;
/**
* The only value supported by this library
*/
EPHEMERIS_TYPE?: 0 | "0";
CLASSIFICATION_TYPE?: "U" | "C";
NORAD_CAT_ID: string | number;
ELEMENT_SET_NO: string | number;
REV_AT_EPOCH?: string | number;
BSTAR: string | number;
MEAN_MOTION_DOT: string | number;
MEAN_MOTION_DDOT: string | number;
/**
* This handles additional metadata, such as OBJECT_TYPE, COUNTRY_CODE etc
*/
[key: string]: unknown;
}
export type OMMJsonObject = OMMJsonObjectV3;
export type SupportedOMMVersion = NonNullable<OMMJsonObject['CCSDS_OMM_VERS']>;
export {};
node_modules/satellite.js/types/constants.d.ts
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export declare const pi: number;
export declare const twoPi: number;
export declare const deg2rad: number;
export declare const rad2deg: number;
export declare const minutesPerDay = 1440;
export declare const mu = 398600.8;
export declare const earthRadius = 6378.135;
export declare const xke: number;
export declare const vkmpersec: number;
export declare const tumin: number;
export declare const j2 = 0.001082616;
export declare const j3 = -0.00000253881;
export declare const j4 = -0.00000165597;
export declare const j3oj2: number;
export declare const x2o3: number;
export declare const xpdotp: number;
node_modules/satellite.js/types/dopplerFactor.d.ts
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import { EcfVec3, Kilometer, KilometerPerSecond } from './common-types.js';
/**
* Negative range rate means the satellite is moving towards the observer and
* its frequency is shifted higher because 1 minus a negative range rate is
* positive. If the range rate is positive, the satellite is moving away from
* the observer and its frequency is shifted lower.
*/
export default function dopplerFactor(observerCoordsEcf: EcfVec3<Kilometer>, positionEcf: EcfVec3<Kilometer>, velocityEcf: EcfVec3<KilometerPerSecond>): number;
node_modules/satellite.js/types/ext.d.ts
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export type JDay = number;
export declare function days2mdhms(year: number, days: number): {
mon: number;
day: number;
hr: number;
minute: number;
sec: number;
};
export declare function jday(year: Date): JDay;
export declare function jday(year: number, mon: number, day: number, hr: number, minute: number, sec: number, msec?: number): JDay;
export declare function invjday(jd: JDay, asArray: true): [year: number, mon: number, day: number, hr: number, minute: number, sec: number];
export declare function invjday(jd: JDay, asArray?: false): Date;
node_modules/satellite.js/types/index.d.ts
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export * as constants from './constants';
export { jday, invjday } from './ext';
export { twoline2satrec, json2satrec } from './io';
export { propagate, sgp4, gstime } from './propagation';
export { default as dopplerFactor } from './dopplerFactor';
export { radiansToDegrees, degreesToRadians, degreesLat, degreesLong, radiansLat, radiansLong, geodeticToEcf, eciToGeodetic, eciToEcf, ecfToEci, ecfToLookAngles, } from './transforms';
export { sunPos } from './sun';
export { type SatRec, SatRecError } from './propagation/SatRec.js';
export * from './common-types.js';
node_modules/satellite.js/types/indexUmd.d.ts
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import * as constants from './constants';
import { jday, invjday } from './ext';
import { twoline2satrec, json2satrec } from './io';
import { propagate, sgp4, gstime } from './propagation';
import { SatRecError } from './propagation/SatRec.js';
import dopplerFactor from './dopplerFactor';
import { radiansToDegrees, degreesToRadians, degreesLat, degreesLong, radiansLat, radiansLong, geodeticToEcf, eciToGeodetic, eciToEcf, ecfToEci, ecfToLookAngles } from './transforms';
import { sunPos } from './sun';
declare const _default: {
SatRecError: typeof SatRecError;
constants: typeof constants;
propagate: typeof propagate;
sgp4: typeof sgp4;
twoline2satrec: typeof twoline2satrec;
json2satrec: typeof json2satrec;
gstime: typeof gstime;
jday: typeof jday;
invjday: typeof invjday;
dopplerFactor: typeof dopplerFactor;
radiansToDegrees: typeof radiansToDegrees;
degreesToRadians: typeof degreesToRadians;
degreesLat: typeof degreesLat;
degreesLong: typeof degreesLong;
radiansLat: typeof radiansLat;
radiansLong: typeof radiansLong;
geodeticToEcf: typeof geodeticToEcf;
eciToGeodetic: typeof eciToGeodetic;
eciToEcf: typeof eciToEcf;
ecfToEci: typeof ecfToEci;
ecfToLookAngles: typeof ecfToLookAngles;
sunPos: typeof sunPos;
};
export default _default;
node_modules/satellite.js/types/io.d.ts
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import { OMMJsonObject } from './common-types.js';
/**
* Return a Satellite imported from two lines of TLE data.
*
* Provide the two TLE lines as strings `tleLine1` and `tleLine2`,
* and select which standard set of gravitational constants you want
* by providing `gravity_constants`:
*
* `sgp4.propagation.wgs72` - Standard WGS 72 model
* `sgp4.propagation.wgs84` - More recent WGS 84 model
* `sgp4.propagation.wgs72old` - Legacy support for old SGP4 behavior
*
* Normally, computations are made using letious recent improvements
* to the algorithm. If you want to turn some of these off and go
* back into "afspc" mode, then set `afspc_mode` to `True`.
*/
export declare function twoline2satrec(longstr1: string, longstr2: string): import("./propagation/SatRec.js").SatRec;
export declare function json2satrec(jsonobj: OMMJsonObject, opsmode?: 'a' | 'i'): import("./propagation/SatRec.js").SatRec;
node_modules/satellite.js/types/propagation.d.ts
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export { default as propagate } from './propagation/propagate';
export { default as sgp4 } from './propagation/sgp4';
export { default as gstime } from './propagation/gstime';
node_modules/satellite.js/types/propagation/SatRec.d.ts
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export declare enum SatRecError {
/**
* No error, propagation for the last supplied date is successful
*/
None = 0,
/**
* Mean eccentricity is out of range 0 ≤ e < 1
*/
MeanEccentricityOutOfRange = 1,
/**
* Mean motion has fallen below zero.
*/
MeanMotionBelowZero = 2,
/**
* Perturbed eccentricity is out of range 0 ≤ e < 1
*/
PerturbedEccentricityOutOfRange = 3,
/**
* Length of the orbit’s semi-latus rectum has fallen below zero.
*/
SemiLatusRectumBelowZero = 4,
/**
* Orbit has decayed: the computed position is underground.
*/
Decayed = 6
}
/**
* A structure that contains all the information needed to propagate a satellite's orbit using the SGP4 model.
*
* Mostly you can consider it opaque as you only need to pass it to `propagate` function.
* All properties should be considered read-only as they're used and set by SGP4 model internally.
*
* This interface is a direct translation of C++ struct `elsetrec` from the source code by David Vallado;
* all changes to the original struct are documented.
*/
export interface SatRec {
/**
* Stringified satellite number, usually from NORAD catalog
*/
satnum: string;
/**
* Full four-digit year of this element set's epoch moment
*/
epochyr: number;
epochtynumrev: number;
/**
* Error code produced by the most recent SGP4 propagation you performed with this element set.
*/
error: SatRecError;
/**
* A single character that directs SGP4 to either operate in its modern 'i' improved mode or
* in its legacy 'a' AFSPC mode.
*/
operationmode: 'a' | 'i';
init: 'y' | 'n';
/**
* A single character, chosen automatically when the orbital elements were loaded, that
* indicates whether SGP4 has chosen to use its built-in 'n' Near Earth or 'd' Deep Space
* mode for this satellite.
*/
method: 'n' | 'd';
isimp: number;
aycof: number;
con41: number;
cc1: number;
cc4: number;
cc5: number;
d2: number;
d3: number;
d4: number;
delmo: number;
eta: number;
argpdot: number;
omgcof: number;
sinmao: number;
/**
* The time you gave when you most recently asked SGP4 to compute this satellite’s position,
* measured in minutes before (negative) or after (positive) the satellite’s epoch.
*/
t: number;
t2cof: number;
t3cof: number;
t4cof: number;
t5cof: number;
x1mth2: number;
x7thm1: number;
mdot: number;
nodedot: number;
xlcof: number;
xmcof: number;
nodecf: number;
irez: number;
d2201: number;
d2211: number;
d3210: number;
d3222: number;
d4410: number;
d4422: number;
d5220: number;
d5232: number;
d5421: number;
d5433: number;
dedt: number;
del1: number;
del2: number;
del3: number;
didt: number;
dmdt: number;
dnodt: number;
domdt: number;
e3: number;
ee2: number;
peo: number;
pgho: number;
pho: number;
pinco: number;
plo: number;
se2: number;
se3: number;
sgh2: number;
sgh3: number;
sgh4: number;
sh2: number;
sh3: number;
si2: number;
si3: number;
sl2: number;
sl3: number;
sl4: number;
gsto: number;
xfact: number;
xgh2: number;
xgh3: number;
xgh4: number;
xh2: number;
xh3: number;
xi2: number;
xi3: number;
xl2: number;
xl3: number;
xl4: number;
xlamo: number;
zmol: number;
zmos: number;
atime: number;
xli: number;
xni: number;
a: number;
altp: number;
alta: number;
/**
* Fractional days into the year of the epoch moment in UTC.
*/
epochdays: number;
/**
* Julian date of the epoch (computed from epochyr and epochdays).
*/
jdsatepoch: number;
/**
* Second time derivative of the mean motion (ignored by SGP4).
*/
nddot: number;
/**
* First time derivative of the mean motion (ignored by SGP4).
*/
ndot: number;
/**
* Ballistic drag coefficient B* in inverse earth radii.
*/
bstar: number;
/**
* Inclination in radians.
*/
inclo: number;
/**
* Right ascension of ascending node in radians.
*/
nodeo: number;
/**
* Eccentricity.
*/
ecco: number;
/**
* Argument of perigee in radians.
*/
argpo: number;
/**
* Mean anomaly in radians.
*/
mo: number;
/**
* Mean motion in radians per minute.
*/
no: number;
}
export type SatRecInit = Pick<SatRec, "error" | "satnum" | "epochyr" | "epochdays" | "ndot" | "nddot" | "bstar" | "inclo" | "nodeo" | "ecco" | "argpo" | "mo" | "no" | "jdsatepoch">;
node_modules/satellite.js/types/propagation/dpper.d.ts
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import { SatRec } from './SatRec.js';
interface DpperOptions {
init: 'y' | 'n';
opsmode: 'a' | 'i';
ep: number;
inclp: number;
nodep: number;
argpp: number;
mp: number;
}
export default function dpper(satrec: SatRec, options: DpperOptions): {
ep: number;
inclp: number;
nodep: number;
argpp: number;
mp: number;
};
export {};
node_modules/satellite.js/types/propagation/dscom.d.ts
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interface DscomOptions {
epoch: number;
ep: number;
argpp: number;
tc: number;
inclp: number;
nodep: number;
np: number;
}
export default function dscom(options: DscomOptions): {
snodm: number;
cnodm: number;
sinim: number;
cosim: number;
sinomm: number;
cosomm: number;
day: number;
e3: number;
ee2: number;
em: number;
emsq: number;
gam: number;
peo: number;
pgho: number;
pho: number;
pinco: number;
plo: number;
rtemsq: number;
se2: number;
se3: number;
sgh2: number;
sgh3: number;
sgh4: number;
sh2: number;
sh3: number;
si2: number;
si3: number;
sl2: number;
sl3: number;
sl4: number;
s1: number | undefined;
s2: number | undefined;
s3: number | undefined;
s4: number | undefined;
s5: number | undefined;
s6: number | undefined;
s7: number | undefined;
ss1: number | undefined;
ss2: number | undefined;
ss3: number | undefined;
ss4: number | undefined;
ss5: number | undefined;
ss6: number | undefined;
ss7: number | undefined;
sz1: number | undefined;
sz2: number | undefined;
sz3: number | undefined;
sz11: number | undefined;
sz12: number | undefined;
sz13: number | undefined;
sz21: number | undefined;
sz22: number | undefined;
sz23: number | undefined;
sz31: number | undefined;
sz32: number | undefined;
sz33: number | undefined;
xgh2: number;
xgh3: number;
xgh4: number;
xh2: number;
xh3: number;
xi2: number;
xi3: number;
xl2: number;
xl3: number;
xl4: number;
nm: number;
z1: number | undefined;
z2: number | undefined;
z3: number | undefined;
z11: number | undefined;
z12: number | undefined;
z13: number | undefined;
z21: number | undefined;
z22: number | undefined;
z23: number | undefined;
z31: number | undefined;
z32: number | undefined;
z33: number | undefined;
zmol: number;
zmos: number;
};
export {};
node_modules/satellite.js/types/propagation/dsinit.d.ts
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interface DsinitOptions {
cosim: number;
emsq: number;
argpo: number;
s1: number;
s2: number;
s3: number;
s4: number;
s5: number;
sinim: number;
ss1: number;
ss2: number;
ss3: number;
ss4: number;
ss5: number;
sz1: number;
sz3: number;
sz11: number;
sz13: number;
sz21: number;
sz23: number;
sz31: number;
sz33: number;
t: number;
tc: number;
gsto: number;
mo: number;
mdot: number;
no: number;
nodeo: number;
nodedot: number;
xpidot: number;
z1: number;
z3: number;
z11: number;
z13: number;
z21: number;
z23: number;
z31: number;
z33: number;
ecco: number;
eccsq: number;
em: number;
argpm: number;
inclm: number;
mm: number;
nm: number;
nodem: number;
irez: number;
atime: number;
d2201: number;
d2211: number;
d3210: number;
d3222: number;
d4410: number;
d4422: number;
d5220: number;
d5232: number;
d5421: number;
d5433: number;
dedt: number;
didt: number;
dmdt: number;
dnodt: number;
domdt: number;
del1: number;
del2: number;
del3: number;
xfact: number;
xlamo: number;
xli: number;
xni: number;
}
export default function dsinit(options: DsinitOptions): {
em: number;
argpm: number;
inclm: number;
mm: number;
nm: number;
nodem: number;
irez: number;
atime: number;
d2201: number;
d2211: number;
d3210: number;
d3222: number;
d4410: number;
d4422: number;
d5220: number;
d5232: number;
d5421: number;
d5433: number;
dedt: number;
didt: number;
dmdt: number;
dndt: number;
dnodt: number;
domdt: number;
del1: number;
del2: number;
del3: number;
xfact: number;
xlamo: number;
xli: number;
xni: number;
};
export {};
node_modules/satellite.js/types/propagation/dspace.d.ts
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interface DspaceOptions {
irez: number;
d2201: number;
d2211: number;
d3210: number;
d3222: number;
d4410: number;
d4422: number;
d5220: number;
d5232: number;
d5421: number;
d5433: number;
dedt: number;
del1: number;
del2: number;
del3: number;
didt: number;
dmdt: number;
dnodt: number;
domdt: number;
argpo: number;
argpdot: number;
t: number;
tc: number;
gsto: number;
xfact: number;
xlamo: number;
no: number;
atime: number;
em: number;
argpm: number;
inclm: number;
xli: number;
mm: number;
xni: number;
nodem: number;
nm: number;
}
export default function dspace(options: DspaceOptions): {
atime: number;
em: number;
argpm: number;
inclm: number;
xli: number;
mm: number;
xni: number;
nodem: number;
dndt: number;
nm: number;
};
export {};
node_modules/satellite.js/types/propagation/gstime.d.ts
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import { GMSTime } from '../common-types.js';
declare function gstime(jd: number): GMSTime;
declare function gstime(date: Date): GMSTime;
declare function gstime(year: number, month: number, day: number, hour: number, minute: number, second: number, millisecond?: number): GMSTime;
export default gstime;
node_modules/satellite.js/types/propagation/initl.d.ts
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interface InitlOptions {
opsmode: 'a' | 'i';
ecco: number;
epoch: number;
inclo: number;
no: number;
}
export default function initl(options: InitlOptions): {
no: number;
method: string;
ainv: number;
ao: number;
con41: number;
con42: number;
cosio: number;
cosio2: number;
eccsq: number;
omeosq: number;
posq: number;
rp: number;
rteosq: number;
sinio: number;
gsto: number;
};
export {};
node_modules/satellite.js/types/propagation/propagate.d.ts
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import { PositionAndVelocity } from '../common-types.js';
import { SatRec } from './SatRec.js';
export declare function propagate(satrec: SatRec, date: Date): PositionAndVelocity;
export declare function propagate(satrec: SatRec, year: number, month: number, day: number, hour: number, minute: number, second: number, ms?: number): PositionAndVelocity;
export default function propagate(satrec: SatRec, ...jdayArgs: [Date] | [number, number, number, number, number, number, (number | undefined)?]): PositionAndVelocity | null;
node_modules/satellite.js/types/propagation/sgp4.d.ts
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import { PositionAndVelocity } from '../common-types.js';
import { SatRec } from './SatRec.js';
export default function sgp4(satrec: SatRec, tsince: number): PositionAndVelocity | null;
node_modules/satellite.js/types/propagation/sgp4init.d.ts
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import { SatRec, SatRecInit } from './SatRec.js';
export interface Sgp4InitOptions {
opsmode: 'a' | 'i';
satn: string;
epoch: number;
xbstar: number;
xecco: number;
xargpo: number;
xinclo: number;
xmo: number;
xno: number;
xnodeo: number;
}
export default function sgp4init(satrecInit: SatRecInit, options: Sgp4InitOptions): asserts satrecInit is SatRec;
node_modules/satellite.js/types/sun.d.ts
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import { JDay } from './ext.js';
export declare function sunPos(jday: JDay): {
rsun: number[];
rtasc: number;
decl: number;
};
node_modules/satellite.js/types/transforms.d.ts
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import { Degrees, EcfVec3, EciVec3, GeodeticLocation, GMSTime, Kilometer, LookAngles, Radians } from './common-types.js';
export declare function radiansToDegrees(radians: Radians): Degrees;
export declare function degreesToRadians(degrees: Degrees): Radians;
export declare function degreesLat(radians: Radians): Degrees;
export declare function degreesLong(radians: Radians): Degrees;
export declare function radiansLat(degrees: Degrees): Radians;
export declare function radiansLong(degrees: Degrees): Radians;
export declare function geodeticToEcf({ longitude, latitude, height, }: GeodeticLocation): EcfVec3<Kilometer>;
export declare function eciToGeodetic(eci: EciVec3<Kilometer>, gmst: GMSTime): GeodeticLocation;
export declare function ecfToEci(ecf: EcfVec3<number>, gmst: GMSTime): EciVec3<number>;
export declare function eciToEcf(eci: EciVec3<number>, gmst: GMSTime): EcfVec3<number>;
export declare function ecfToLookAngles(observerGeodetic: GeodeticLocation, satelliteEcf: EcfVec3<Kilometer>): LookAngles;
package-lock.json
Generated
+36
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{
"name": "eye-spy",
"lockfileVersion": 3,
"requires": true,
"packages": {
"": {
"name": "eye-spy",
"dependencies": {
"astronomy-engine": "^2.1.19",
"geomagnetism": "^0.2.0",
"satellite.js": "^6.0.1"
},
"engines": {
"node": ">=20"
}
},
"node_modules/astronomy-engine": {
"version": "2.1.19",
"resolved": "https://registry.npmjs.org/astronomy-engine/-/astronomy-engine-2.1.19.tgz",
"integrity": "sha512-8yWKNf7UeNbH458h3sAJ6ZgAjE5jTXp/mNNRFoC20j2SHwZIjAQeEsBB2Q3uCFRaTCCJRv33K2XhkhZQMXoX6w==",
"license": "MIT"
},
"node_modules/geomagnetism": {
"version": "0.2.0",
"resolved": "https://registry.npmjs.org/geomagnetism/-/geomagnetism-0.2.0.tgz",
"integrity": "sha512-dO8HJrXqah244nMe+pU5m52L90SMoi4lDA0AV3xunRxogloYV+s3aYWCW72VMMfiYis+YSAlhoKktw8aLMiJbw==",
"license": "Apache-2.0"
},
"node_modules/satellite.js": {
"version": "6.0.2",
"resolved": "https://registry.npmjs.org/satellite.js/-/satellite.js-6.0.2.tgz",
"integrity": "sha512-XWKxtqVF5xiJ1xAeiYeT/oSSzsukoCLWvk6nO/WFy4un0M3g4djAU9TAtOCqJLtYW9vxx9pkPJ1L9ITOc607GA==",
"license": "MIT"
}
}
}
package.json
+12
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@@ -0,0 +1,12 @@
{
"name": "eye-spy",
"private": true,
"type": "module",
"scripts": { "start": "node server.mjs" },
"engines": { "node": ">=20" },
"dependencies": {
"astronomy-engine": "^2.1.19",
"geomagnetism": "^0.2.0",
"satellite.js": "^6.0.1"
}
}
server.mjs
+287
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import { createServer } from 'node:http';
import path from 'node:path';
import { fileURLToPath } from 'node:url';
import { TelemetryService } from './services/telemetry.mjs';
import { CameraService } from './services/camera.mjs';
import { CelestialService } from './services/celestial.mjs';
const ROOT = path.dirname(fileURLToPath(import.meta.url));
const DATA_DIR = path.resolve(process.env.DATA_DIR || path.join(ROOT, 'data'));
const PORT = Number(process.env.PORT || 8080);
const HOST = process.env.HOST || '0.0.0.0';
const log = Object.fromEntries(['debug', 'info', 'warn', 'error'].map((level) => [
level,
(...args) => console[level === 'debug' ? 'log' : level](
`[${new Date().toISOString()}] [${level}]`,
...args,
),
]));
const telemetryConfig = {
python: process.env.PYTHON || 'python3',
script: path.resolve(process.env.MPU_SCRIPT || path.join(ROOT, 'mpu.py')),
bnoAddress: 0x4b,
bnoHz: 20,
staleMs: 3000,
restartAfterMs: 10000,
startTimeoutMs: 10000,
gpsdHost: process.env.GPSD_HOST || '127.0.0.1',
gpsdPort: Number(process.env.GPSD_PORT || 2947),
gpsStaleMs: 5000,
pisugar: {
enabled: process.env.PISUGAR_ENABLED !== 'false',
i2cBus: Number(process.env.PISUGAR_I2C_BUS || 1),
i2cAddress: Number(process.env.PISUGAR_I2C_ADDRESS || 0x75),
pollMs: Number(process.env.PISUGAR_POLL_MS || 5000),
i2cgetBin: process.env.I2CGET || 'i2cget',
},
};
const cameraConfig = {
vidBin: process.env.RPICAM_VID || 'rpicam-vid',
stillBin: process.env.RPICAM_STILL || 'rpicam-still',
ffmpegBin: process.env.FFMPEG || 'ffmpeg',
width: Number(process.env.W || 1280),
height: Number(process.env.H || 720),
fps: Number(process.env.FPS || 30),
streamQuality: 85,
streamMaxShutterUs: 1_000_000,
streamIdleStopMs: 5000,
photoWidth: 0,
photoHeight: 0,
videoWidth: 1280,
videoHeight: 720,
videoFps: 30,
focusMaxSteps: 1000,
remuxMp4: true,
};
const fallbackLat = process.env.FALLBACK_LAT === undefined ? null : Number(process.env.FALLBACK_LAT);
const fallbackLon = process.env.FALLBACK_LON === undefined ? null : Number(process.env.FALLBACK_LON);
const celestialConfig = {
tleBaseUrl: 'https://celestrak.org/NORAD/elements/gp.php',
tleGroups: (process.env.TLE_GROUPS || 'visual,stations').split(',').map((s) => s.trim()).filter(Boolean),
tleMaxAgeHours: 12,
tleRetryMinutes: 360,
maxOrientationAgeMs: 1500,
onTargetDeg: 1,
invertQuat: false,
defaultBoresight: [0, 0, 1],
...(fallbackLat !== null && fallbackLon !== null && Number.isFinite(fallbackLat) && Number.isFinite(fallbackLon)
? { fallbackObserver: { lat: fallbackLat, lon: fallbackLon, altM: Number(process.env.FALLBACK_ALT || 0) } }
: {}),
};
if (process.env.DECLINATION_DEG !== undefined) {
celestialConfig.declinationDeg = Number(process.env.DECLINATION_DEG);
}
const telemetry = new TelemetryService(telemetryConfig, { log });
const celestial = new CelestialService(celestialConfig, { telemetry, log, dataDir: DATA_DIR });
const camera = new CameraService(cameraConfig, {
log,
dataDir: DATA_DIR,
metaProvider: () => ({
telemetry: telemetry.getSnapshot(),
pointing: safePointing(),
}),
});
function safePointing() {
try {
return celestial.getPointing();
} catch (err) {
return { available: false, error: err.code || err.message };
}
}
function sendJson(res, status, data) {
res.writeHead(status, {
'Content-Type': 'application/json; charset=utf-8',
'Cache-Control': 'no-store',
});
res.end(JSON.stringify(data));
}
function readJson(req) {
return new Promise((resolve, reject) => {
let body = '';
req.setEncoding('utf8');
req.on('data', (chunk) => {
body += chunk;
if (body.length > 1_000_000) {
reject(Object.assign(new Error('Request body too large'), { status: 413, code: 'body_too_large' }));
req.destroy();
}
});
req.on('end', () => {
if (!body.trim()) return resolve({});
try {
resolve(JSON.parse(body));
} catch {
reject(Object.assign(new Error('Invalid JSON body'), { status: 400, code: 'invalid_json' }));
}
});
req.on('error', reject);
});
}
async function handle(req, res) {
const url = new URL(req.url || '/', `http://${req.headers.host || 'localhost'}`);
if (req.method === 'GET' && url.pathname === '/') {
return sendJson(res, 200, {
name: 'MRS',
status: 'online',
endpoints: [
'/stream',
'/api/status',
'/api/telemetry/battery',
'/api/camera/settings',
],
});
}
if (req.method === 'GET' && url.pathname === '/stream') {
return camera.addStreamClient(req, res);
}
if (req.method === 'GET' && url.pathname === '/api/telemetry/battery') {
return sendJson(res, 200, { battery: telemetry.getBattery() });
}
if (req.method === 'GET' && url.pathname === '/api/camera/settings') {
return sendJson(res, 200, { settings: camera.getSettings() });
}
if (req.method === 'PATCH' && url.pathname === '/api/camera/settings') {
const body = await readJson(req);
const settings = await camera.applySettings(body);
return sendJson(res, 200, { ok: true, settings });
}
if (req.method === 'POST' && url.pathname === '/api/camera/settings/reset') {
const settings = await camera.resetSettings();
return sendJson(res, 200, { ok: true, settings });
}
if (req.method === 'GET' && url.pathname === '/api/status') {
let celestialStatus;
try {
celestialStatus = celestial.getStatus();
} catch (err) {
celestialStatus = { error: err.code || 'unavailable', message: err.message };
}
return sendJson(res, 200, {
status: 'online',
telemetry: telemetry.getSnapshot(),
camera: camera.getStatus(),
celestial: celestialStatus,
pointing: safePointing(),
});
}
if (req.method === 'GET' && url.pathname === '/api/celestial/predict') {
const target = url.searchParams.get('target');
if (!target) {
return sendJson(res, 400, {
error: 'missing_target',
message: 'Pass ?target=moon, vega, iss, sat:25544, etc.',
});
}
return sendJson(res, 200, celestial.predict(target));
}
if (req.method === 'GET' && url.pathname === '/api/celestial/delta') {
const target = url.searchParams.get('target');
if (!target) {
return sendJson(res, 400, {
error: 'missing_target',
message: 'Pass ?target=moon, vega, iss, sat:25544, etc.',
});
}
return sendJson(res, 200, celestial.delta(target));
}
if (req.method === 'GET' && url.pathname === '/api/celestial/targets') {
const kind = url.searchParams.get('kind') || undefined;
const q = url.searchParams.get('q') || undefined;
const limit = Math.min(500, Math.max(1, Number(url.searchParams.get('limit') || 100)));
return sendJson(res, 200, { targets: celestial.listTargets({ kind, q, limit }) });
}
if (req.method === 'GET' && url.pathname === '/api/celestial/alignment') {
return sendJson(res, 200, celestial.getAlignment());
}
if (req.method === 'POST' && url.pathname === '/api/celestial/zero') {
const body = await readJson(req);
if (!body.target) {
return sendJson(res, 400, {
error: 'missing_target',
message: 'Provide JSON {"target":"moon"}.',
});
}
return sendJson(res, 200, await celestial.zero(body.target));
}
if (req.method === 'DELETE' && url.pathname === '/api/celestial/zero') {
return sendJson(res, 200, await celestial.clearZero());
}
if (req.method === 'POST' && url.pathname === '/api/celestial/tle/refresh') {
const body = await readJson(req);
return sendJson(res, 200, { results: await celestial.refreshTLEs({ force: body.force !== false }) });
}
return sendJson(res, 404, { error: 'not_found', path: url.pathname });
}
let server;
let stopping = false;
async function shutdown(signal) {
if (stopping) return;
stopping = true;
log.info(`received ${signal}; shutting down`);
if (server) {
server.close();
server.closeAllConnections?.();
}
await Promise.allSettled([camera.shutdown(), celestial.shutdown(), telemetry.stop()]);
log.info('shutdown complete');
}
async function main() {
await camera.init();
telemetry.start();
await celestial.init();
server = createServer((req, res) => {
Promise.resolve(handle(req, res)).catch((err) => {
log.error(err.stack || err.message || err);
if (res.headersSent) return res.destroy(err);
sendJson(res, err.status || 500, { error: err.code || 'internal_error', message: err.message });
});
});
server.listen(PORT, HOST, () => log.info(`MRS listening at http://${HOST}:${PORT}`));
process.once('SIGINT', () => shutdown('SIGINT'));
process.once('SIGTERM', () => shutdown('SIGTERM'));
}
main().catch(async (err) => {
log.error(`startup failed: ${err.stack || err}`);
await Promise.allSettled([camera.shutdown(), celestial.shutdown(), telemetry.stop()]);
process.exitCode = 1;
});
services/camera.mjs
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services/celestial.mjs
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// Celestial service
//
// Targets (string "specs", usable from the HTTP API too):
// sat:25544 sat:ISS (ZARYA) iss Earth satellites, from cached TLEs (Celestrak) + SGP4
// body:moon moon jupiter … Sun, Moon, planets (astronomy-engine ephemeris)
// star:vega vega ~18 bright stars (J2000 → precessed to date)
// radec:5.919,7.407 any fixed RA (hours) / Dec (degrees) J2000 position
//
// NOTE: TLEs only describe Earth-orbiting satellites. The Moon, planets, stars and deep-sky
// objects are NOT in any TLE set, so they use ephemerides / catalogue coordinates instead.
//
// Public API
// predict(spec, {date?, observer?}) where the target is (az/alt) for the GPS position + OS time
// delta(spec, {date?, observer?}) how far the telescope's current pointing is from the target
// zero(spec) align the IMU to the telescope using a known object you're centred on
// getPointing() current telescope az/alt (IMU + alignment + declination)
// refreshTLEs({force?}) download/cache TLEs
//
// How alignment works
// The IMU sits in the eyepiece at an unknown angle, so a simple "+X° azimuth, +Y° altitude" offset
// only holds near the pose it was measured at. Instead we solve for the telescope's boresight
// direction in the *sensor's own frame*: b = q⁻¹ · d_target
// (q = sensor orientation, d_target = predicted direction of the object you are centred on).
// Afterwards pointing(t) = q(t) · b for ANY orientation, which stays correct however the sensor is
// mounted. The BNO's frame is referenced to MAGNETIC north, so magnetic declination (from the World
// Magnetic Model at the GPS position) is applied to get true azimuth before comparing with the sky.
import { EventEmitter } from 'node:events';
import fsp from 'node:fs/promises';
import path from 'node:path';
import * as satellite from 'satellite.js';
import * as Astronomy from 'astronomy-engine';
import { ServiceError } from '../lib/errors.mjs';
import { STARS } from '../lib/stars.mjs';
import {
azAltToVec, vecToAzAlt, quatConj, quatRotate, wrap360, wrap180, angularSeparation, rad, deg,
} from '../lib/geo.mjs';
const BODIES = {
sun: 'Sun', moon: 'Moon', mercury: 'Mercury', venus: 'Venus', mars: 'Mars',
jupiter: 'Jupiter', saturn: 'Saturn', uranus: 'Uranus', neptune: 'Neptune', pluto: 'Pluto',
};
const round = (v, d = 3) => (v === null || v === undefined ? v : Math.round(v * 10 ** d) / 10 ** d);
function parseTle(text) {
const lines = text.split(/\r?\n/).map((l) => l.trim()).filter(Boolean);
const out = [];
for (let i = 0; i < lines.length; ) {
if (lines[i].startsWith('1 ') && lines[i + 1]?.startsWith('2 ')) {
out.push({ name: `NORAD ${lines[i].slice(2, 7).trim()}`, l1: lines[i], l2: lines[i + 1] });
i += 2;
} else if (lines[i + 1]?.startsWith('1 ') && lines[i + 2]?.startsWith('2 ')) {
out.push({ name: lines[i].replace(/^0 /, ''), l1: lines[i + 1], l2: lines[i + 2] });
i += 3;
} else {
i += 1;
}
}
return out;
}
function tleEpochMs(satrec) {
const year = satrec.epochyr < 57 ? 2000 + satrec.epochyr : 1900 + satrec.epochyr;
return Date.UTC(year, 0, 1) + (satrec.epochdays - 1) * 86_400_000;
}
export class CelestialService extends EventEmitter {
#cfg;
#log;
#telemetry;
#dir;
#alignmentFile;
#sats = new Map(); // noradId -> { id, name, satrec, epochMs, group }
#groupInfo = new Map(); // group -> { count, fetchedAt }
#alignment = null;
#geomag = null;
#refreshing = null;
#timer = null;
#lastRefreshError = null;
constructor(cfg, { telemetry, log, dataDir }) {
super();
this.#cfg = cfg;
this.#telemetry = telemetry;
this.#log = log;
this.#dir = path.join(dataDir, 'tle');
this.#alignmentFile = path.join(dataDir, 'alignment.json');
}
// ───────────────────────────── lifecycle ─────────────────────────────
async init() {
await fsp.mkdir(this.#dir, { recursive: true });
try {
const mod = await import('geomagnetism');
this.#geomag = mod.default ?? mod;
} catch {
this.#log.warn('"geomagnetism" not installed: magnetic declination will use DECLINATION_DEG (default 0)');
}
try {
this.#alignment = JSON.parse(await fsp.readFile(this.#alignmentFile, 'utf8'));
this.#log.info(`loaded saved alignment (zeroed on ${this.#alignment.target?.label} at ${this.#alignment.createdAt})`);
} catch (err) {
if (err.code !== 'ENOENT') this.#log.warn(`ignoring unreadable alignment file: ${err.message}`);
}
await this.#loadCache();
// Refresh in the background: never block startup on the network (we may be in a field with no internet).
this.refreshTLEs().catch(() => {});
this.#timer = setInterval(() => this.refreshTLEs().catch(() => {}), this.#cfg.tleRetryMinutes * 60_000);
this.#timer.unref();
}
shutdown() {
clearInterval(this.#timer);
}
// ───────────────────────────── TLE cache ─────────────────────────────
async #loadCache() {
for (const group of this.#cfg.tleGroups) {
const file = path.join(this.#dir, `${group}.tle`);
try {
const [text, st] = await Promise.all([fsp.readFile(file, 'utf8'), fsp.stat(file)]);
this.#groupInfo.set(group, { count: parseTle(text).length, fetchedAt: st.mtimeMs, text });
} catch (err) {
if (err.code !== 'ENOENT') this.#log.warn(`TLE cache for "${group}" unreadable: ${err.message}`);
}
}
this.#rebuildIndex();
}
#rebuildIndex() {
const sats = new Map();
for (const [group, info] of this.#groupInfo) {
for (const t of parseTle(info.text)) {
let satrec;
try {
satrec = satellite.twoline2satrec(t.l1, t.l2);
} catch {
continue;
}
const id = parseInt(t.l1.slice(2, 7), 10);
if (!Number.isFinite(id) || !Number.isFinite(satrec.no)) continue;
const epochMs = tleEpochMs(satrec);
const prev = sats.get(id);
if (!prev || epochMs > prev.epochMs) sats.set(id, { id, name: t.name, satrec, epochMs, group });
}
}
this.#sats = sats;
}
/**
* Download any TLE group that is missing/older than TLE_MAX_AGE_HOURS (or all, with force).
* Failures are non-fatal: cached data keeps being served.
*/
async refreshTLEs({ force = false } = {}) {
if (this.#refreshing) return this.#refreshing;
this.#refreshing = (async () => {
const results = [];
const maxAgeMs = this.#cfg.tleMaxAgeHours * 3_600_000;
for (const group of this.#cfg.tleGroups) {
const info = this.#groupInfo.get(group);
if (!force && info && Date.now() - info.fetchedAt < maxAgeMs) {
results.push({ group, skipped: 'fresh', count: info.count });
continue;
}
try {
const text = await this.#fetchGroup(group);
const count = parseTle(text).length;
const file = path.join(this.#dir, `${group}.tle`);
await fsp.writeFile(`${file}.tmp`, text);
await fsp.rename(`${file}.tmp`, file); // atomic: never leave a half-written cache
this.#groupInfo.set(group, { count, fetchedAt: Date.now(), text });
this.#log.info(`TLE group "${group}" updated (${count} objects)`);
results.push({ group, ok: true, count });
} catch (err) {
this.#lastRefreshError = { at: new Date().toISOString(), message: err.message };
this.#log.warn(`TLE refresh "${group}" failed: ${err.message}${info ? ' — using cached copy' : ''}`);
results.push({ group, ok: false, error: err.message, usingCache: Boolean(info) });
}
}
this.#rebuildIndex();
this.emit('tle', this.getTleStatus());
return results;
})().finally(() => {
this.#refreshing = null;
});
return this.#refreshing;
}
async #fetchGroup(group) {
const url = `${this.#cfg.tleBaseUrl}?GROUP=${encodeURIComponent(group)}&FORMAT=tle`;
const res = await fetch(url, { signal: AbortSignal.timeout(20_000), headers: { 'User-Agent': 'eye-spy/1.0' } });
if (!res.ok) throw new Error(`HTTP ${res.status}`);
const text = await res.text();
if (parseTle(text).length === 0) throw new Error('response contained no TLEs');
return text;
}
getTleStatus() {
const groups = {};
for (const [g, i] of this.#groupInfo) {
groups[g] = { count: i.count, fetchedAt: new Date(i.fetchedAt).toISOString(), ageHours: round((Date.now() - i.fetchedAt) / 3_600_000, 1) };
}
const epochs = [...this.#sats.values()].map((s) => s.epochMs);
return {
satellites: this.#sats.size,
groups,
wantedGroups: this.#cfg.tleGroups,
oldestEpoch: epochs.length ? new Date(Math.min(...epochs)).toISOString() : null,
refreshing: Boolean(this.#refreshing),
lastError: this.#lastRefreshError,
};
}
// ───────────────────────────── targets ─────────────────────────────
listTargets({ kind, q, limit = 100 } = {}) {
const query = q?.toLowerCase();
const match = (t) => !query || t.id.toLowerCase().includes(query) || t.label.toLowerCase().includes(query);
const all = [];
if (!kind || kind === 'body') {
for (const [k, v] of Object.entries(BODIES)) all.push({ kind: 'body', id: `body:${k}`, label: v });
}
if (!kind || kind === 'star') {
for (const [k, v] of Object.entries(STARS)) all.push({ kind: 'star', id: `star:${k}`, label: v.label });
}
if (!kind || kind === 'sat') {
for (const s of this.#sats.values()) all.push({ kind: 'sat', id: `sat:${s.id}`, label: s.name });
}
return all.filter(match).slice(0, limit);
}
/** Resolve a target spec string into a normalised target object. */
resolveTarget(spec) {
const raw = String(spec ?? '').trim();
if (!raw) throw new ServiceError('invalid_target', 'No target given (e.g. "moon", "vega", "iss", "sat:25544", "radec:5.9,7.4")', 400);
let kind;
let rest;
const m = raw.match(/^(sat|body|star|radec):(.*)$/i);
if (m) {
kind = m[1].toLowerCase();
rest = m[2].trim();
} else {
const key = raw.toLowerCase();
if (key === 'iss') [kind, rest] = ['sat', '25544'];
else if (BODIES[key]) [kind, rest] = ['body', key];
else if (STARS[key]) [kind, rest] = ['star', key];
else [kind, rest] = ['sat', raw];
}
if (kind === 'body') {
const key = rest.toLowerCase();
if (!BODIES[key]) throw new ServiceError('unknown_target', `Unknown body "${rest}"`, 404, { valid: Object.keys(BODIES) });
return { kind, id: `body:${key}`, label: BODIES[key], body: BODIES[key] };
}
if (kind === 'star') {
const key = rest.toLowerCase();
const st = STARS[key];
if (!st) throw new ServiceError('unknown_target', `Unknown star "${rest}"`, 404, { valid: Object.keys(STARS) });
return { kind, id: `star:${key}`, label: st.label, ra: st.ra, dec: st.dec };
}
if (kind === 'radec') {
const [ra, dec] = rest.split(',').map(Number);
if (!Number.isFinite(ra) || !Number.isFinite(dec) || ra < 0 || ra >= 24 || dec < -90 || dec > 90) {
throw new ServiceError('invalid_target', 'radec must be "radec:<RA hours 0-24>,<Dec degrees>" (J2000)', 400);
}
return { kind, id: `radec:${ra},${dec}`, label: `RA ${ra}h Dec ${dec}°`, ra, dec };
}
// satellite
if (this.#sats.size === 0) {
throw new ServiceError('no_tle_data', 'No TLE data loaded yet (offline on first run?). Try POST /api/celestial/tle/refresh once online.', 503);
}
const asId = /^\d+$/.test(rest) ? parseInt(rest, 10) : null;
if (asId !== null) {
const s = this.#sats.get(asId);
if (!s) throw new ServiceError('unknown_target', `NORAD ${asId} not in the loaded TLE groups (${this.#cfg.tleGroups.join(', ')})`, 404);
return { kind: 'sat', id: `sat:${s.id}`, label: s.name, norad: s.id };
}
const q = rest.toLowerCase();
const all = [...this.#sats.values()];
const exact = all.filter((s) => s.name.toLowerCase() === q);
const starts = all.filter((s) => s.name.toLowerCase().startsWith(q));
const includes = all.filter((s) => s.name.toLowerCase().includes(q));
const hits = exact.length ? exact : starts.length ? starts : includes;
if (hits.length === 0) throw new ServiceError('unknown_target', `No satellite matching "${rest}"`, 404);
if (hits.length > 1 && !exact.length) {
throw new ServiceError('ambiguous_target', `"${rest}" matches ${hits.length} satellites; use a NORAD id`, 400, {
matches: hits.slice(0, 10).map((s) => ({ id: `sat:${s.id}`, name: s.name })),
});
}
return { kind: 'sat', id: `sat:${hits[0].id}`, label: hits[0].name, norad: hits[0].id };
}
// ───────────────────────────── observer / time ─────────────────────────────
#observer(override) {
if (override) {
const { lat, lon } = override;
if (!Number.isFinite(lat) || !Number.isFinite(lon)) throw new ServiceError('invalid_observer', 'observer needs numeric lat and lon', 400);
return { lat, lon, altM: override.altM ?? 0, source: 'override' };
}
const p = this.#telemetry.getPosition();
if (p) return { lat: p.lat, lon: p.lon, altM: p.altM, source: p.live ? 'gps' : 'gps-last-known', ageMs: p.ageMs };
if (this.#cfg.fallbackObserver) return { ...this.#cfg.fallbackObserver, source: 'config' };
throw new ServiceError('no_position', 'No GPS fix yet and no FALLBACK_LAT/FALLBACK_LON configured', 503);
}
#declination(obs, date) {
if (Number.isFinite(this.#cfg.declinationDeg)) return { deg: this.#cfg.declinationDeg, source: 'config' };
if (this.#geomag) {
try {
const info = this.#geomag.model(date).point([obs.lat, obs.lon]);
if (Number.isFinite(info.decl)) return { deg: info.decl, source: 'wmm' };
} catch {
/* fall through */
}
}
return { deg: 0, source: 'none' };
}
// ───────────────────────────── prediction ─────────────────────────────
/**
* Where is the target, from the GPS position, at the OS time?
* @param {string} spec
* @param {{date?: Date, observer?: {lat:number, lon:number, altM?:number}}} [opts]
* @returns {{target, time, observer, az:number, alt:number, aboveHorizon:boolean, rangeKm?:number, tle?:object}}
*/
predict(spec, { date = this.#telemetry.now(), observer } = {}) {
const target = this.resolveTarget(spec);
const obs = this.#observer(observer);
const out = {
target: { kind: target.kind, id: target.id, label: target.label },
time: date.toISOString(),
observer: { lat: round(obs.lat, 5), lon: round(obs.lon, 5), altM: round(obs.altM, 1), source: obs.source },
};
let pos;
if (target.kind === 'sat') {
const s = this.#sats.get(target.norad);
const pv = satellite.propagate(s.satrec, date);
const p = pv?.position;
if (!p || ![p.x, p.y, p.z].every(Number.isFinite)) {
throw new ServiceError('propagation_failed', `SGP4 could not propagate ${target.label} to ${out.time} (TLE too old or decayed?)`, 422);
}
const ecf = satellite.eciToEcf(p, satellite.gstime(date));
const look = satellite.ecfToLookAngles({ latitude: rad(obs.lat), longitude: rad(obs.lon), height: obs.altM / 1000 }, ecf);
pos = { az: wrap360(deg(look.azimuth)), alt: deg(look.elevation) };
out.rangeKm = round(look.rangeSat, 1);
const ageDays = (date.getTime() - s.epochMs) / 86_400_000;
out.tle = { epoch: new Date(s.epochMs).toISOString(), ageDays: round(ageDays, 2), stale: Math.abs(ageDays) > 14 };
} else {
const astroObs = new Astronomy.Observer(obs.lat, obs.lon, obs.altM);
let ra;
let dec;
if (target.kind === 'body') {
const eq = Astronomy.Equator(target.body, date, astroObs, true, true); // topocentric, of date, with aberration
ra = eq.ra;
dec = eq.dec;
out.distanceAu = round(eq.dist, 5);
} else {
// J2000 catalogue position -> equator of date (precession is ~0.3° by now, which matters at eyepiece scale)
const v = Astronomy.VectorFromSphere(new Astronomy.Spherical(target.dec, target.ra * 15, 1), date);
const eq = Astronomy.EquatorFromVector(Astronomy.RotateVector(Astronomy.Rotation_EQJ_EQD(date), v));
ra = eq.ra;
dec = eq.dec;
}
const hor = Astronomy.Horizon(date, astroObs, ra, dec, 'normal'); // includes atmospheric refraction
pos = { az: hor.azimuth, alt: hor.altitude };
out.raHours = round(ra, 5);
out.decDeg = round(dec, 4);
}
out.az = round(pos.az);
out.alt = round(pos.alt);
out.aboveHorizon = pos.alt > 0;
return out;
}
// ───────────────────────────── pointing / delta ─────────────────────────────
#freshOrientation() {
const o = this.#telemetry.getOrientation({ maxAgeMs: this.#cfg.maxOrientationAgeMs });
if (!o) {
throw new ServiceError('no_orientation', 'No fresh orientation data from the IMU (sensor stale or not running)', 503, {
sensorState: this.#telemetry.getSensorState(),
});
}
return o;
}
#bodyQuat(o) {
return this.#cfg.invertQuat ? quatConj(o.quat) : o.quat;
}
/** Where the telescope is pointing right now (true az / alt). */
getPointing({ date = this.#telemetry.now(), observer } = {}) {
const o = this.#freshOrientation();
const obs = this.#observer(observer);
const decl = this.#declination(obs, date);
const boresight = this.#alignment?.boresight ?? this.#cfg.defaultBoresight;
const { az: azMag, alt } = vecToAzAlt(quatRotate(this.#bodyQuat(o), boresight));
return {
az: round(wrap360(azMag + decl.deg)),
alt: round(alt),
aligned: Boolean(this.#alignment),
declination: { deg: round(decl.deg, 2), source: decl.source },
orientationAgeMs: o.ageMs,
};
}
/**
* How far is the telescope from the target? Positive deltaAz = target is clockwise (right when facing it),
* positive deltaAlt = target is higher than where the telescope points.
*/
delta(spec, opts = {}) {
const date = opts.date ?? this.#telemetry.now();
const target = this.predict(spec, { ...opts, date });
const pointing = this.getPointing({ ...opts, date });
const dAz = wrap180(target.az - pointing.az);
const dAlt = target.alt - pointing.alt;
const sep = angularSeparation(pointing.az, pointing.alt, target.az, target.alt);
return {
target,
pointing,
deltaAz: round(dAz),
deltaAlt: round(dAlt),
deltaAzOnSky: round(dAz * Math.cos(rad((target.alt + pointing.alt) / 2))), // true angular distance along the horizon
separation: round(sep),
onTarget: sep <= this.#cfg.onTargetDeg,
hint: {
azimuth: Math.abs(dAz) < 0.05 ? 'ok' : dAz > 0 ? 'right' : 'left',
altitude: Math.abs(dAlt) < 0.05 ? 'ok' : dAlt > 0 ? 'up' : 'down',
},
warnings: [
...(pointing.aligned ? [] : ['not aligned yet: run zero() on a known object first']),
...(target.aboveHorizon ? [] : ['target is below the horizon']),
...(target.tle?.stale ? ['TLE is more than 14 days old; satellite position may be off'] : []),
],
};
}
// ───────────────────────────── zeroing ─────────────────────────────
/**
* Align the IMU to the telescope. Centre a known object in the eyepiece, hold still, then call this.
* Only the sensor-to-tube mounting is solved; it stays valid for any later orientation.
* Best objects: the Moon, a planet, or a bright star (satellites move too fast to centre and hold).
*/
async zero(spec) {
const date = this.#telemetry.now();
const o = this.#freshOrientation();
const predicted = this.predict(spec, { date });
if (!predicted.aboveHorizon) {
throw new ServiceError('target_below_horizon', `${predicted.target.label} is below the horizon (alt ${predicted.alt}°); you can't be pointing at it`, 422, { predicted });
}
// What the telescope *would have* reported before this alignment (so the user sees the size of the correction).
let before = null;
try {
before = this.getPointing({ date });
} catch {
/* no observer/orientation: skip */
}
const obs = this.#observer();
const decl = this.#declination(obs, date);
const dirMag = azAltToVec(wrap360(predicted.az - decl.deg), predicted.alt); // true -> magnetic frame
const boresight = quatRotate(quatConj(this.#bodyQuat(o)), dirMag); // target direction expressed in the sensor frame
this.#alignment = {
boresight: boresight.map((v) => round(v, 6)),
createdAt: date.toISOString(),
target: predicted.target,
predicted: { az: predicted.az, alt: predicted.alt },
sensorAtZero: { yaw: o.yaw, pitch: o.pitch, roll: o.roll },
declination: decl,
observer: predicted.observer,
};
await fsp.writeFile(this.#alignmentFile, JSON.stringify(this.#alignment, null, 2)).catch((err) => {
this.#log.warn(`could not persist alignment: ${err.message}`);
});
const result = {
aligned: true,
target: predicted.target,
predicted: { az: predicted.az, alt: predicted.alt },
before: before ? { az: before.az, alt: before.alt } : null,
correction: before
? {
deltaAz: round(wrap180(predicted.az - before.az)),
deltaAlt: round(predicted.alt - before.alt),
separation: round(angularSeparation(before.az, before.alt, predicted.az, predicted.alt)),
}
: null,
declination: decl,
boresight: this.#alignment.boresight,
};
this.#log.info(
`zeroed on ${predicted.target.label}: predicted az ${predicted.az}° alt ${predicted.alt}°` +
(result.correction ? `, applied correction ${result.correction.separation}°` : '') +
` (declination ${round(decl.deg, 1)}° via ${decl.source})`,
);
this.emit('zero', result);
return result;
}
async clearZero() {
this.#alignment = null;
await fsp.rm(this.#alignmentFile, { force: true });
this.#log.info('alignment cleared');
this.emit('zero', { aligned: false });
return { aligned: false };
}
getAlignment() {
return this.#alignment ? { aligned: true, ...this.#alignment } : { aligned: false };
}
getStatus() {
return { alignment: this.getAlignment(), tle: this.getTleStatus() };
}
}
services/telemetry.mjs
+516
View File
@@ -0,0 +1,516 @@
// Telemetry service
// * Orientation: supervises the configured Python MPU script and tracks it with an explicit state machine.
// * Position: talks to gpsd over its JSON TCP protocol (no extra dependency).
// * Time: the OS clock (already disciplined by RTC/GPS), exposed via now().
//
// Sensor state machine
//
// stopped ──start()──▶ starting ──first sample──▶ running ◀──sample──┐
// │ │ │
// │ exit / no data │ no sample │
// ▼ ▼ for staleMs │
// backoff ◀──── exit / stale too long ──────── stale
// │
// └─ delay (1s,2s,4s … 30s) ─▶ starting
//
// Events: 'orientation', 'sensor-state', 'gps-state', 'gps'
import { EventEmitter } from 'node:events';
import { spawn } from 'node:child_process';
import readline from 'node:readline';
import net from 'node:net';
const SENSOR_TRANSITIONS = {
stopped: ['starting'],
starting: ['running', 'backoff', 'stopped'],
running: ['stale', 'backoff', 'stopped'],
stale: ['running', 'backoff', 'stopped'],
backoff: ['starting', 'stopped'],
};
const isFiniteNum = (v) => typeof v === 'number' && Number.isFinite(v);
function eulerToQuat(yaw, pitch, roll) {
const y = (yaw * Math.PI) / 360;
const p = (pitch * Math.PI) / 360;
const r = (roll * Math.PI) / 360;
const cy = Math.cos(y), sy = Math.sin(y);
const cp = Math.cos(p), sp = Math.sin(p);
const cr = Math.cos(r), sr = Math.sin(r);
return [
sr * cp * cy - cr * sp * sy,
cr * sp * cy + sr * cp * sy,
cr * cp * sy - sr * sp * cy,
cr * cp * cy + sr * sp * sy,
];
}
export class TelemetryService extends EventEmitter {
#cfg;
#log;
#sensor = {
state: 'stopped',
proc: null,
startedAt: 0,
lastSampleAt: 0,
runningSince: 0,
failures: 0,
restarts: 0,
lastError: null,
backoffTimer: null,
};
#orientation = null;
#batteryTimer = null;
#batteryPolling = false;
#battery = {
state: 'unavailable', available: false, source: 'pisugar-server', socketPath: '/tmp/pisugar-server.sock',
voltageV: null, percent: null, percentEstimate: null, percentIsEstimate: false,
charging: null, powerPlugged: null, chargingAllowed: null, updatedAt: null, error: 'not polled yet',
};
#gps = {
socket: null,
connected: false,
retryTimer: null,
connectFailures: 0,
lastTpvAt: 0,
tpv: null,
sky: null,
lastGoodFix: null,
emittedState: 'disconnected',
};
#watchdog = null;
#stopping = true;
constructor(cfg, { log }) {
super();
this.#cfg = cfg;
this.#log = log;
}
// ───────────────────────────── lifecycle ─────────────────────────────
start() {
if (!this.#stopping) return;
this.#stopping = false;
this.#startSensor();
this.#connectGps();
this.#pollBattery().catch(() => {});
if (this.#cfg.pisugar?.enabled !== false) {
this.#batteryTimer = setInterval(() => this.#pollBattery().catch(() => {}), this.#cfg.pisugar?.pollMs || 5000);
this.#batteryTimer.unref();
}
this.#watchdog = setInterval(() => this.#tick(), 1000);
this.#watchdog.unref();
}
async stop() {
this.#stopping = true;
clearInterval(this.#watchdog);
clearInterval(this.#batteryTimer);
clearTimeout(this.#sensor.backoffTimer);
clearTimeout(this.#gps.retryTimer);
this.#transitionSensor('stopped', 'service stopped');
const proc = this.#sensor.proc;
this.#sensor.proc = null;
if (proc) {
await new Promise((resolve) => {
const t = setTimeout(() => proc.kill('SIGKILL'), 2000);
proc.once('close', () => {
clearTimeout(t);
resolve();
});
proc.kill('SIGTERM');
});
}
this.#gps.socket?.destroy();
this.#gps.socket = null;
}
// ───────────────────────────── public API ─────────────────────────────
/** Current time. The OS clock is already synced to RTC/GPS. */
now() {
return new Date();
}
/**
* Latest orientation, or null if the sensor is not delivering fresh data.
* @param {{maxAgeMs?: number}} [opts]
*/
getOrientation({ maxAgeMs = this.#cfg.staleMs } = {}) {
const o = this.#orientation;
if (!o) return null;
const ageMs = Date.now() - o.ts;
if (ageMs > maxAgeMs) return null;
return { yaw: o.yaw, pitch: o.pitch, roll: o.roll, quat: o.quat, ageMs, ts: o.ts };
}
/** Last good GPS fix (kept even if the fix is currently lost) or null if there has never been one. */
getPosition() {
const f = this.#gps.lastGoodFix;
if (!f) return null;
const ageMs = Date.now() - f.at;
return {
lat: f.lat,
lon: f.lon,
altM: f.altM ?? 0,
mode: f.mode,
ageMs,
live: ageMs < this.#cfg.gpsStaleMs,
};
}
getSensorState() {
return this.#sensor.state;
}
getGpsState() {
return this.#gpsStateNow();
}
getSnapshot() {
const now = Date.now();
const s = this.#sensor;
const o = this.#orientation;
const g = this.#gps;
const pos = this.getPosition();
return {
time: { iso: new Date(now).toISOString(), epochMs: now },
sensor: {
state: s.state,
sampleAgeMs: s.lastSampleAt ? now - s.lastSampleAt : null,
restarts: s.restarts,
lastError: s.lastError,
},
orientation: o
? { yaw: o.yaw, pitch: o.pitch, roll: o.roll, quat: o.quat, ageMs: now - o.ts }
: null,
battery: { ...this.#battery },
gps: {
state: this.#gpsStateNow(),
position: pos,
satellites: g.sky ? { used: g.sky.used, seen: g.sky.seen } : null,
dop: g.sky ? { hdop: g.sky.hdop, vdop: g.sky.vdop, pdop: g.sky.pdop } : null,
speedMps: g.tpv?.speed ?? null,
// GPS time minus system time. Should be a few ms if the OS sync is healthy.
clockSkewMs: g.tpv?.skewMs ?? null,
errorM: g.tpv ? { x: g.tpv.epx ?? null, y: g.tpv.epy ?? null, v: g.tpv.epv ?? null } : null,
},
};
}
// ───────────────────────────── PiSugar battery ─────────────────────────────
getBattery() {
return { ...this.#battery };
}
async #pisugarCommand(command) {
const path = this.#cfg.pisugar?.socketPath || '/tmp/pisugar-server.sock';
return await new Promise((resolve, reject) => {
const socket = net.createConnection({ path });
let output = '';
let settled = false;
const finish = (err, value) => {
if (settled) return;
settled = true;
clearTimeout(timer);
socket.destroy();
if (err) reject(err);
else resolve(value.trim());
};
const timer = setTimeout(() => finish(new Error(`PiSugar socket timed out for: ${command}`)), 1500);
socket.setEncoding('utf8');
socket.on('connect', () => socket.write(`${command}\n`));
socket.on('data', (chunk) => {
output += chunk;
const newline = output.indexOf('\n');
if (newline >= 0) finish(null, output.slice(0, newline));
});
socket.on('error', (err) => finish(err));
socket.on('end', () => finish(null, output));
});
}
async #pollBattery() {
const cfg = this.#cfg.pisugar || {};
if (cfg.enabled === false || this.#batteryPolling) return;
this.#batteryPolling = true;
try {
const read = async (name) => {
const response = await this.#pisugarCommand(`get ${name}`);
const match = response.match(/:\s*(.+?)\s*$/);
if (!match) throw new Error(`Unexpected PiSugar response for get ${name}: ${response}`);
return match[1];
};
const [percentText, voltageText, pluggedText, allowChargingText] = await Promise.all([
read('battery'), read('battery_v'), read('battery_power_plugged'), read('battery_allow_charging'),
]);
const percent = Number(percentText);
const voltageV = Number(voltageText);
const powerPlugged = pluggedText.toLowerCase() === 'true';
const chargingAllowed = allowChargingText.toLowerCase() === 'true';
if (!Number.isFinite(percent) || !Number.isFinite(voltageV)) throw new Error('PiSugar returned invalid battery values');
this.#battery = {
state: 'ok', available: true, source: 'pisugar-server',
socketPath: cfg.socketPath || '/tmp/pisugar-server.sock',
voltageV: Math.round(voltageV * 1000) / 1000,
percent: Math.round(percent), percentEstimate: Math.round(percent), percentIsEstimate: false,
powerPlugged, chargingAllowed, charging: powerPlugged && chargingAllowed,
updatedAt: new Date().toISOString(), error: null,
};
this.emit('battery', this.getBattery());
} catch (err) {
const message = err.code === 'ENOENT'
? `PiSugar socket unavailable (${cfg.socketPath || '/tmp/pisugar-server.sock'}); is pisugar-server running?`
: err.message;
const shouldLog = this.#battery.error !== message;
this.#battery = {
...this.#battery,
state: this.#battery.updatedAt ? 'stale' : 'unavailable',
available: Boolean(this.#battery.updatedAt),
source: 'pisugar-server', socketPath: cfg.socketPath || '/tmp/pisugar-server.sock', error: message,
};
if (shouldLog) this.#log.warn(`PiSugar battery read failed: ${message}`);
} finally {
this.#batteryPolling = false;
}
}
// ───────────────────────────── sensor ─────────────────────────────
#transitionSensor(next, reason) {
const s = this.#sensor;
if (s.state === next) return;
if (!SENSOR_TRANSITIONS[s.state]?.includes(next)) {
this.#log.debug(`ignored illegal sensor transition ${s.state} -> ${next}`);
return;
}
const prev = s.state;
s.state = next;
if (next === 'running') s.runningSince = Date.now();
this.#log.info(`sensor ${prev} -> ${next}${reason ? ` (${reason})` : ''}`);
this.emit('sensor-state', { state: next, prev, reason });
}
#startSensor() {
if (this.#stopping) return;
const s = this.#sensor;
this.#transitionSensor('starting');
s.startedAt = Date.now();
s.lastSampleAt = 0;
s.runningSince = 0;
let proc;
try {
proc = spawn(this.#cfg.python, [this.#cfg.script], {
stdio: ['ignore', 'pipe', 'pipe'],
env: { ...process.env, BNO_ADDR: String(this.#cfg.bnoAddress), BNO_HZ: String(this.#cfg.bnoHz) },
});
} catch (err) {
this.#sensorDied(null, `spawn failed: ${err.message}`);
return;
}
s.proc = proc;
readline.createInterface({ input: proc.stdout }).on('line', (l) => this.#onSensorLine(l));
readline.createInterface({ input: proc.stderr }).on('line', (l) => this.#onSensorStderr(l));
proc.on('error', (err) => this.#sensorDied(proc, `process error: ${err.message}`));
proc.on('exit', (code, signal) => this.#sensorDied(proc, `exited (code=${code}, signal=${signal})`));
}
#onSensorLine(line) {
let d;
try {
d = JSON.parse(line);
} catch {
this.#log.debug(`non-JSON from sensor: ${line.slice(0, 120)}`);
return;
}
if (![d.yaw, d.pitch, d.roll].every(isFiniteNum)) return;
const q = Array.isArray(d.quat) && d.quat.length === 4 && d.quat.every(isFiniteNum)
? d.quat
: eulerToQuat(d.yaw, d.pitch, d.roll);
const now = Date.now();
this.#orientation = { yaw: d.yaw, pitch: d.pitch, roll: d.roll, quat: q, ts: now };
this.#sensor.lastSampleAt = now;
const st = this.#sensor.state;
if (st === 'starting' || st === 'stale') this.#transitionSensor('running', 'receiving samples');
this.emit('orientation', this.#orientation);
}
#onSensorStderr(line) {
let msg = line;
let level = 'warn';
try {
const d = JSON.parse(line);
if (d.error) {
level = 'error';
msg = d.error;
this.#sensor.lastError = String(d.error);
} else if (d.warning) {
msg = d.warning;
}
} catch {
/* plain traceback line */
}
this.#log[level](`bno: ${msg}`);
}
/** Called when the python process exits/errors. `proc` guards against double-handling. */
#sensorDied(proc, reason) {
const s = this.#sensor;
if (proc && s.proc !== proc) return; // already handled
s.proc = null;
if (this.#stopping) return;
s.lastError = reason;
// A process that ran healthily for a while resets the backoff.
if (s.runningSince && Date.now() - s.runningSince > 15000) s.failures = 0;
s.failures += 1;
s.restarts += 1;
const delay = Math.min(30000, 1000 * 2 ** Math.min(s.failures - 1, 5));
this.#transitionSensor('backoff', `${reason}; retry in ${delay / 1000}s`);
clearTimeout(s.backoffTimer);
s.backoffTimer = setTimeout(() => this.#startSensor(), delay);
}
// ───────────────────────────── gpsd ─────────────────────────────
#connectGps() {
if (this.#stopping) return;
const g = this.#gps;
const { gpsdHost: host, gpsdPort: port } = this.#cfg;
const sock = net.createConnection({ host, port });
sock.setEncoding('utf8');
sock.setKeepAlive(true, 10000);
g.socket = sock;
let buf = '';
sock.on('connect', () => {
g.connected = true;
g.connectFailures = 0;
this.#log.info(`gpsd connected (${host}:${port})`);
sock.write('?WATCH={"enable":true,"json":true}\n');
this.#emitGpsStateIfChanged();
});
sock.on('data', (chunk) => {
buf += chunk;
let i;
while ((i = buf.indexOf('\n')) >= 0) {
const line = buf.slice(0, i).trim();
buf = buf.slice(i + 1);
if (line) this.#onGpsLine(line);
}
if (buf.length > 1_000_000) buf = '';
});
sock.on('error', (err) => {
// Don't spam the dashboard if gpsd simply isn't running.
if (g.connectFailures === 0 || g.connectFailures % 20 === 0) {
this.#log.warn(`gpsd connection error: ${err.code || err.message}`);
}
});
sock.on('close', () => {
if (g.socket === sock) g.socket = null;
const wasConnected = g.connected;
g.connected = false;
g.connectFailures += 1;
if (wasConnected) this.#log.warn('gpsd disconnected');
this.#emitGpsStateIfChanged();
if (this.#stopping) return;
clearTimeout(g.retryTimer);
g.retryTimer = setTimeout(() => this.#connectGps(), Math.min(10000, 2000 + g.connectFailures * 1000));
});
}
#onGpsLine(line) {
let d;
try {
d = JSON.parse(line);
} catch {
return;
}
const g = this.#gps;
if (d.class === 'TPV') {
const now = Date.now();
const tpv = { ...d, receivedAt: now };
if (d.time) {
const t = Date.parse(d.time);
if (Number.isFinite(t)) tpv.skewMs = Math.round(t - now);
}
g.tpv = tpv;
g.lastTpvAt = now;
if (d.mode >= 2 && isFiniteNum(d.lat) && isFiniteNum(d.lon)) {
g.lastGoodFix = {
lat: d.lat,
lon: d.lon,
altM: [d.altMSL, d.altHAE, d.alt].find(isFiniteNum) ?? null,
mode: d.mode,
at: now,
};
this.emit('gps', this.getPosition());
}
this.#emitGpsStateIfChanged();
} else if (d.class === 'SKY') {
const sats = Array.isArray(d.satellites) ? d.satellites : null;
g.sky = {
used: d.uSat ?? sats?.filter((s) => s.used).length ?? null,
seen: d.nSat ?? sats?.length ?? null,
hdop: d.hdop ?? null,
vdop: d.vdop ?? null,
pdop: d.pdop ?? null,
};
}
}
/** disconnected | no_gpsd_data | no_fix | fix_2d | fix_3d */
#gpsStateNow() {
const g = this.#gps;
if (!g.connected) return 'disconnected';
if (!g.tpv) return 'no_gpsd_data';
if (Date.now() - g.lastTpvAt > this.#cfg.gpsStaleMs) return 'no_gpsd_data';
if (g.tpv.mode === 3) return 'fix_3d';
if (g.tpv.mode === 2) return 'fix_2d';
return 'no_fix';
}
#emitGpsStateIfChanged() {
const now = this.#gpsStateNow();
if (now === this.#gps.emittedState) return;
const prev = this.#gps.emittedState;
this.#gps.emittedState = now;
this.#log.info(`gps ${prev} -> ${now}`);
this.emit('gps-state', { state: now, prev });
}
// ───────────────────────────── watchdog ─────────────────────────────
#tick() {
const now = Date.now();
const s = this.#sensor;
const { staleMs, restartAfterMs, startTimeoutMs } = this.#cfg;
if (s.state === 'running' && now - s.lastSampleAt > staleMs) {
this.#transitionSensor('stale', `no sample for ${now - s.lastSampleAt} ms`);
} else if (s.state === 'stale' && now - s.lastSampleAt > restartAfterMs) {
this.#log.warn('sensor stale too long; restarting python');
s.proc?.kill('SIGKILL'); // 'exit' handler moves us to backoff
} else if (s.state === 'starting' && now - s.startedAt > startTimeoutMs) {
this.#log.warn('sensor produced no data after start; restarting python');
s.proc?.kill('SIGKILL');
}
this.#emitGpsStateIfChanged(); // catches "TPV stopped arriving"
}
}