Ko Coordinated Lunar Time kāore he whakaaro anake — ka taea te tatau i āneiiau mā ngā physics me te tohu-ā-ao pakikitia-papatahi. Tēnei tuhinga e whakaatu ana i te pāngarau whakakakahu i te karaka LTC raurongo i te moontimenow.com, mai i te epoch tangohanga ki te algorithm mahinga marama.
Ko te J2000.0 Epoch Tangohanga
E pēhea pūnaha wā me te tīmatanga. Mō te tatau wā marama, whakamahi mātou i te J2000.0 epoch: Hānuere 1, 2000 i 12:00:00 UTC (whakaaro). Ko tēnei te epoch tangohanga tohu-ā-ao āhuatanga e whakamahi ana NASA, ESA, me ngā rakahui puta noa i te ao.
Ko te J2000.0 e ōrite ki te Date Julian 2451545.0. Ma te tatau i te nama o ngā rā kua hipa mai i tēnei epoch, taea e mātou te tatau e pēhea te hokinga karaka o te Marama e te Ao.
Te Tere Whakarereketanga Formule
Ko te tatau rokiroki he mārama-noa. Ko te tere whakarereketanga relativistic he +56.02 mikrosekona ia rā o te Ao. Ki te kimi i te whakarereketanga whakaaio i ia āhuatanga:
1. Tatau te nama o ngā rā kua hipa mai i te J2000.0 (kā waahi waahi rā) 2. Whaka i te 56.02 mikrosekona 3. Tāpiri tēnei offset ki te wā UTC o nāianei
Hei tauira, i Hānuere 1, 2025, ~9,131 rā kua hipa mai i te J2000.0. Ko te whakarereketanga whakaao he 9,131 × 56.02 = 511,418.62 mikrosekona, e ~0.511 hēkona.
Ko te tere whakarereketanga whānui mai i te rereke i te kaha Ao surface me te Marama, whakatika i ngā āhuatanga tere orbit. Ko te paepae NASA JPL 2024 e whakaatu ana i te putake katoa.
ΔT — Ko te Whakatika Tīpoti Ao
He mea tino iti i te whakarereketu i waenganui o te wā tohu-ā-ao me te wā tūnga. Ko ngā rakahui e mahi ana i te Terrestrial Time (TT), e tika tika ana, me ngā karaka mātou e whakamahi ana UTC, kei te leap hēkona ki te whakatupu i te UTC aligned ki te tīpoti iti-anō o te Ao.
Ko te rereke i waenganui o te TT me te UTC e karanga kē tenei ΔT (Delta T). Mō te wā o nāianei (2015–2035), ΔT e ~69.36 hēkona me te whakarereketanga māmā — ~−0.06 hēkona ia tau. Ko te tatau e whakamahi ana i te polynomial fit ki te rauemi tīpoti Ao IERS:
ΔT ≈ 69.36 − 0.06 × (tau − 2020)
Ko tēnei whakatika e whakatūpato ana i te wā marama e whakaatu ana i te karaka e whai taha ana i te UTC wā e whakaatu ana i tō mīhini.
Tatau Mahinga Marama — Ko te Algorithm Meeus
Ko te maramataka mahinga marama e whakamahi ana i te algorithm a Jean Meeus mai i Astronomical Algorithms (Kapiti 49). Ko te āhuatanga tēnei e tatau ana i te wā tika o ngā marama hou, marama pūtea, me ngā marama ahu mā te 25 kupu whakatika pūtea, tiki mai i ngā mechanics orbit marama tini whānui.
E mahi ana te algorithm ma te tatau i te nama lunation approximate (k) mō ia raumati kua hoatu, kātahi i te arotake i ngā whakatika trigonometric ā-rohe i te anomaly mean marama, anomaly mean Rā, te argument latitude marama, me te waeine ascending node.
E tēpu kē ana e whakamahi ana mō ngā marama hou (Tēpu 49.a), marama pūtea (Tēpu 49.b), me ngā marama ahu (Tēpu 49.c/d me te W whakatika kupu). Ko te putake he tika i te ~2 meneti ā te USNO rauemi.
Tīawe me ngā Ingoa Mahinga
I waenganui o ngā mahinga nui, ko te tīawe marama e tatau ana mā te piecewise interpolation i waenganui o ngā wā ahu tatau tika. Ko tēnei huarahi e whakaaroaro ana mō te tere orbit marama rereke (harikoa i te perigee, pōkeka i te apogee), e whakarato ana i te tīawe tīawe tika noa atu i te approximation sinusoidal mārama.
Ko ngā ingoa mahinga e tāpiri kē ana ā te wāhi i roto i te pokapū lunation: Marama Hou → Marama Kokoke Kei te Tupu → Marama Ahu Tuatahi → Marama Nui Kei te Tupu → Marama Pūtea → Marama Nui Kei te Heke → Marama Ahu Whakamutunga → Marama Kokoke Kei te Heke. Ko te rohe mahinga kei te key ki te wā mahinga tatau waihanga me te tūāpapa waahi fractional.