iXesha Elinxulumene neLoliwe akunangqondo — iyoba libaliwe ngokunyamela kusetyenziswa i-established physics kunye ne-astronomy. Le nqaku ichaza izibalo live i-LTC iwotshi moontimenow.com, ezifukela icazelo-iepoku ilayihla i-moon phase algorithm.
iJ2000.0 iCazelo Epoch
Yonke inzuzo yexesha ifuna isihlalelo sendawo. Kwi-lunar ixesha ubaliwe, sisebenzisa i-J2000.0 epoch: uJanuwari 1, 2000 ngentlungu e-12:00:00 UTC (imoshalazi). Oku inzuzo-uluntu ye-astronomy icazelo-iepoku esebenziswa yi-NASA, ESA, kunye namunomolwazi wehlabathi.
iUmjikelo weXesha Ifomula
iCore ubaliwe ilula. iUmjikelo wexesha owesazo ingasebenzi +56.02 zomikrosekhe umhla weJer. Ukuze ufumane isiphumo somjikelo kwangumhla noanye:
1. Kubala amaziintsuku ukusukela kuJ2000.0 (kubandakanya iintlangatlangi amaziintsuku) 2. Phindaphinda nge-56.02 zomikrosekhe 3. Dibanisa oku kuXesha lokushintshwa elichaza UTC
Ngumzekelo, ngo-Januari 1, 2025, iintlangatlangi ezi-9,131 isuku babe sidluliwe kuJ2000.0. iSiphumo somjikelo ngu-9,131 × 56.02 = 511,418.62 zomikrosekhe, okanye okwema 0.511 yesigcina.
iUmjikelo wexesha owesazo ubukela kubuhlobo beokumele ubunzima kuMhlaba neLoliwe, elungiselelwe kweorbital ujubane kunye noMhlaba ukulumela iyenguqu. i-NIST yeshicilela i-2024 framework bhuku elinqumbi elokufilikeza umjikelo-rhofu.
iΔT — iMhlaba Ukulumela iCorrective
inzuzo engxabano-buluŝ ekuphambulisa astronomy ixesha kunye nesambaza ixesha. iAstronomer-ama isebenzisa i-Terrestrial Ixesha (TT), evuthwa nambamba, kwaye iiwotshi zabantu isebenzisa i-UTC, ebonakalosayo iomikrosekhe izixhakamelo ubami iMhlaba umjikelo oyilo.
iOtuqubo phakathi kwe-TT kunye ne-UTC ibhekisela ku-ΔT (Delta T). Kwendawo yakamuva (2015–2035), i-ΔT ingungu-69.36 izigcina kunye noguquko ubukhulu — okwema −0.06 yesigcina/umzuzwane. iUbaliwe bethu isebenzisa i-polynomial fits kwi-International Mhlaba Ukulumela iSecwantsi (IERS) idatha:
ΔT ≈ 69.36 − 0.06 × (umzuzwane − 2020)
oku kuhumanusha ibonisa iLoliwe ixesha iwotshi libandakanya i-UTC ixesha ekhokelweyo-kumbono wakahlulo okanye isikhundla.
iMoon iPase iUbaliwe — i-Meeus Algorithm
iMoon phase calendar isebenzisa i-Jean Meeus iastrophysics algorithm (iastrophysics iAlgorithm, iChapter 49). Imodeli kubala iexesha inzalo elitsha, inzalo eligqibelele, kunye neiQuarter inzalo isebenzisa amashumi amathandathu iahambisa iintlanganiso ekulobwe kuLoliwe's okumele iorbital mechanics.
iAlgoritm isebenza compute ukulungelelanisa-iindlela inombolo (k) kweyo nayiphi na imihla, emva koko erapha-lwa isingonukwedlula okuhambelanayo okusekelwe kuLoliwe iqalelo anomzuzwane, iLanga isikhundla alikhoyo, iLoliwe ukulawula lati-titudi, kunye nelongitude ye-ascending node.
iSephi-sephakamelo ilophu amaxanduva isebenziswa kuluntu (iTable 49.a), inzalo eligqibelele (iTable 49.b), kunye neiQuarter inzalo (iTable 49.c/d ne-W adjustive amandla). iSiphumo ilingana ngapakathi kwe-2 iminits iU.S. Naval Observatory idatha.
iKukhanyi kunye nePhase Amagama
Phakathi komamaxanduva ezinkulu, iLoliwe kukhanyi ilungiselela kusetyenziswa i-piecewise ulimpeza-okwenyani ipumelele iQuarter ixesha. oku kukhethiweyo isibizo iLoliwe umjikelo oweyilo (ikhasela okwema-perigee, ilula-kwi-apogee), kuba khetekanyane kukhanyi amaphakanelo kunogolo sinusoidal ulimpeza.
iPhase amagama-amagama asindvikwe obume iokubethwa-kwi-lunation cycle: New Moon → Waxing Crescent → First Quarter → Waxing Gibbous → Full Moon → Waning Gibbous → Last Quarter → Waning Crescent. iPhase imibobo ingakumbi ikulungiselelwe-okwenyani iexesha kumangalele amagama ayilo-okwembulu.