Coordinated Lunar Time sibiciranya — ibarwa ava hakoreshwa physics n'astrophysique. Ingingo ino ibarana ubwiyunge biva mu live LTC clock ku moontimenow.com, bivuye reference epoch kugera Meeus algorithm.
J2000.0 Reference Epoch
Buri sisitemu y'ubwiyunge ifuna aho ihambira. Kugira Lunar time, dukoresha J2000.0 epoch: Kanama 1, 2000 12:00:00 UTC (nzira). Umu ni standard astrophysique reference epoch ikoreshwa NASA, ESA, n'astrophysique isi yose.
J2000.0 rikorera Julian Date 2451545.0. Kubyiya iminsi yapitanye bivuye epoch, dushobora kubarira se igihe cy'ubwenge cy'iny mukaaga wiyariye bibagirwa.
Drift Rate Formula
Ikibazo cyambere ni gahambire. Relativistic drift rate +56.02 microseconds kuri umunsi w'inya. Kumakira kuya kwa neza ku gihe kiciro:
1. Kubarira iminsi yapitanye bivuye J2000.0 (hamwe n'ibarana ry'iminsi) 2. Kugwiza 56.02 microseconds 3. Ijongeja iyo offset ku UTC igihe cyoherezwe ava
Umwanya, ku Kanama 1, 2025, gutuzuza iminsi 9,131 yapitanye bivuye J2000.0. Kuya kwa neza kumakira 9,131 × 56.02 = 511,418.62 microseconds, cyangwa gutuzuza 0.511 sekondi.
Drift rate iyakoka bivuye ubwiyunge bw'ubwiyunge pakati py'inya n'iny mukaaga, byahahirwa kugira orbital velocity. NIST 2024 framework paper ibarana derivation yose.
ΔT — Earth Rotation Correction
Haba inzira yo mu astrophysique time n'civil time. Astrophysique bakoresha Terrestrial Time (TT), yitereza neza, inasubira insano z'igihe zakoresha UTC, ifite leap seconds kugira ngo ikonza Earth rotation itazira pang'ono.
Ubwiyunge bivuye TT n'UTC bivutsa ΔT (Delta T). Kugira igihe cyoherezwe (2015–2035), ΔT gutuzuza 69.36 sekondi n'ihinduka pang'ono — ~−0.06 sekondi kuri imyaka. Kubarira kwatutsi ikoresha polynomial fit kuri International Earth Rotation Service (IERS) data:
ΔT ≈ 69.36 − 0.06 × (imyaka − 2020)
Correction iyi isumarana ngo lunar time ivuguruka ku gwc PA gimyeko yatutsi neza hamwe na UTC igihe cyerekanira ku locket yatutsi.
Moon Phase Calculation — Meeus Algorithm
Moon phase calendar ikoresha Jean Meeus algorithm bivuye Astronomical Algorithms (Chapter 49). Metho iyi ibarana igihe cyizabwa cy'iny mukaaga nshya, yuzuye, n'igice hamwe n'amategeko 25 yo mu mahoro ayavuye ubwiyunge bw'orbital bw'iny mukaaga.
Algorithm ikorera pobarira approximate lunation number (k) kugira itariki iryo ariyo yose, hanyuma ijongeja trigonometric corrections bivuye mean anomaly y'iny mukaaga, mean anomaly y'inya, argument y'iny mukaaga y'latitude, n'longitude y'ascending node.
Correction tables zitandukanye zakoresha kugira iny mukaaga nshya (Table 49.a), yuzuye (Table 49.b), n'igice (Table 49.c/d na W correction term). Ibisubizo ari neza kugeza ~2 dakika ku U.S. Naval Observatory data.
Ubwenge n'Phase Names
Pakati py'ibigite bitazira, ubwenge bw'iny mukaaga ibarwa hakoreshwa piecewise interpolation pakati py'igihe cyizabwa cy'igice. Metho iyi itera inu mukaaga orbital velocity itazira (itera vuba pa perigee, pang'ono pa apogee), itanga ubwenge bubwire bushobotse kupitirwa sinusoidal approximation.
Phase names zimenyetshwa bivuye ubwiyunge mu lunation cycle: New Moon → Waxing Crescent → First Quarter → Waxing Gibbous → Full Moon → Waning Gibbous → Last Quarter → Waning Crescent. Phase boundaries zimenyetshwa ku calculated phase times nubwo kugira fixed fractional positions.