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1.11. Bez efemeridy - v nikuda
Standart MAS1976 rekomenduet polozheniya Solnca, Luny i bol'shih planet vychislyat' na osnove efemeridy DE200/ LE200.
Efemeridnye dannye DE200/LE200, rasprostranyaemye na magnitnyh nositelyah, sostoyat iz zapisei dlinoi 6608 bait. Kazhdaya zapis' soderzhit 826 chisel dvoinoi tochnosti v dvoichnom formate po 8 bait. V odnoi zapisi upakovana informaciya o polozheniyah i skorostyah nebesnyh ob'ektov na intervale vremeni, ravnom 32 sutkam. Pervoe chislo - yulianskaya data nachala intervala prognozirovaniya, vtoroe chislo - konechnaya yulianskaya data dannogo intervala, obrazovannaya pribavleniem 32 sutok k nachal'noi date. Polozheniya i skorosti planet i Solnca dany otnositel'no baricentra Solnechnoi sistemy. Vmesto koordinat Zemli upakovany koefficienty dlya vychisleniya polozheniya centra mass sistemy Zemlya-Luna. Polozhenie Luny dano otnositel'no centra Zemli. Ves' massiv iz 826 chisel rasshifrovyvaetsya s pomosh'yu pyati massivov celyh chisel:
ob'ekt | i | j | k | l | m | |
1 | Mercury | 3 | 146 | 12 | 8 | 3 |
2 | Venus | 147 | 182 | 12 | 32 | 3 |
3 | Earth-Moon | 183 | 272 | 15 | 16 | 3 |
4 | Mars | 273 | 302 | 10 | 32 | 3 |
5 | Jupiter | 303 | 329 | 9 | 32 | 3 |
6 | Saturn | 330 | 353 | 8 | 32 | 3 |
7 | Uranus | 354 | 377 | 8 | 32 | 3 |
8 | Neptune | 378 | 395 | 6 | 32 | 3 |
9 | Pluto | 396 | 413 | 6 | 32 | 3 |
10 | Moon | 414 | 701 | 12 | 4 | 3 |
11 | Sun | 702 | 746 | 15 | 32 | 3 |
12 | Nutation | 747 | 826 | 10 | 8 | 2 |
gde - nachal'nyi nomer v massive, - konechnyi nomer v massive, - chislo koefficientov approksimacii, - interval chastnoi approksimacii v dnyah vnutri obshego intervala, - kolichestvo approksimiruemyh peremennyh.
Rassmotrim, dlya primera, algoritm vychisleniya polozheniya Venery otnositel'no centra Zemli. Pust' - data v yulianskih dnyah v shkale dinamicheskogo baricentricheskogo vremeni TDB, vybrannaya dlya vychislenii, , - nachal'naya i konechnaya daty efemeridnyh dannyh. Prezhde vsego opredelim poryadkovyi nomer togo tridcatidvuhsutochnogo intervala, v kotoryi popadaet vybrannyi nami moment :
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