Coordinated Lunar Time haisi yavakazi — inogona tsvagiswa zvino ichinoshandisa well-established physics uye astronomy. Shoko rino rino ratidzira mathematics pasi pezvenongosvika live LTC fereko pa moontimenow.com, kubva J2000 epoch reference kusvika mwedzi mhuri algorithm.
J2000.0 Reference Epoch
Time system rimwe nerimwe inoda amatanho. Kune lunar time calculations, tinoshandisa J2000.0 epoch: Ianuari 1, 2000 pa 12:00:00 UTC (mangwanani). Iyi iri standard astronomical reference epoch inoshandiswa neNASA, ESA, ne astronomers pamusoro pasi.
J2000.0 inofanana neJulian Date 2451545.0. Nekuverenga nhamba yezuva rapasa J2000.0, tinoona gambuchipi fereko pamberi mwedzi.
Drift Rate Formula
Kuitatavazwa kwakasimba kunyora. Relativistic drift rate iri +56.02 microseconds pazuva rapasi. Kuzvidza pisa drift panguva ipi yevhu:
1. Vengera nhamba yezuva rapasa J2000.0 (nhamo nemavhiki ezuva) 2. Punyuka ne56.02 microseconds 3. Wedza iyi drift pagungano yeUTC
Semunhu, Ianuari 1, 2025, kana 9,131 zuva rapasa J2000.0. Pisa drift iri 9,131 × 56.02 = 511,418.62 microseconds, kana kana 0.511 sekonda.
Drift rate iyo inobvi mune difference pagravitational potential pakati pepasi surface nemwedzi surface, ine zvizvezvake zvisingadiki zveorbital velocity. NIST 2024 framework paper inoratidzira zvirutso zvese.
ΔT — Kutaurira kwePasi Rotation
Pane zvikwira mutrankuto pakati peastronmoical time uye civil time. Astronomers vanoshandisa Terrestrial Time (TT), inomhanya zvakajeka, a clocks isu tinoshandisa UTC, inowedzera leap seconds kuti irame nepasi slightly irregular rotation.
Magariro pakati peTT neUTC inodaidwa ΔT (Delta T). Kune nguva zvino (2015–2035), ΔT iri ~69.36 sekonda uye inosimudzira zviyero — ~−0.06 sekonda per gore. Calculation iri inoshandisa polynomial fit kuIERS data:
ΔT ≈ 69.36 − 0.06 × (gore − 2020)
Kurangarira iyi kunoona kuti lunar time inosiya kuUTC time inosiya padevice yako.
Mwedzi Mhuri Calculation — Meeus Algorithm
mwedzi mhuri kalenda inoshandisa Jean Meeus' algorithm kubva Astronomical Algorithms (Chapter 49). Iyi nzira inotsvagisa zviyero zvichena zvebulki, full moons, nemhuri moons ichinoshandisa 25 periodic corrections inotsvagwa nechiedza chepamberi mwedzi orbits.
Algorithm inoshvumana nekung'uta approximate lunation nhamba (k) kune zuva rimwe nerimwe, pooqa trigonometric corrections inoshandiswa kubva mwedzi mean anomaly, shava mean anomaly, mwedzi argument latitude, nemshure node longitude.
Vakasiyana correction tables vanoshandiswa kune new moons (Table 49.a), full moons (Table 49.b), nemhuri moons (Table 49.c/d neW correction term). Zvinotevera inorurama ~2 minutes yakaenzana neU.S. Naval Observatory data.
Muchenjeri uneNezwi zeMhuri
Pakati pana major phases, muchenjeri wemwedzi inotsvagiswa ichinoshandisa piecewise interpolation pakati pequarter times yakarurama. Iyi approach inocherekedza mwedzi varying orbital speed (inomhanya paperigee, inogarisirwa apoapogee), ichikunikira accurate illumination percentages kunokuda kwesimple sinusoidal approximation.
Mhuri zezwi inotsvagiswa kumusoro pepito pa lunation cycle: New Moon → Waxing Crescent → First Quarter → Waxing Gibbous → Full Moon → Waning Gibbous → Last Quarter → Waning Crescent. Phase boundaries inotsagiswa kuquarter times yakarurama kunokuda kune fixed fractional positions.