Coordinated Lunar Time concept — calculated well-established physics astronomy. article live LTC clock moontimenow.com mathematics reference epoch moon phase algorithm.
J2000.0 reference epoch
waati system starting point. lunar time calculations J2000.0 epoch: January 1، 2000 12:00:00 UTC (noon). standard astronomical reference epoch NASA ESA astronomers worldwide.
J2000.0 Julian Date 2451545.0. A epoch juma days elapsed juma clock ދިވެހި clock drifted calculate.
drift rate formula
core calculation straightforward. relativistic drift rate +56.02 microseconds day. cumulative drift any moment:
1. days J2000.0 (fractional days including) calculate 2. 56.02 microseconds multiply 3. offset UTC current waati add
example January 1، 2025، ~9،131 days J2000.0. cumulative drift 9،131 × 56.02 = 511،418.62 microseconds o ~0.511 sekondi.
drift rate ދިވެހި surface ak ވަކުވެ surface gravitational potential difference orbital velocity corrections. NIST 2024 framework full derivation.
ΔT — ދިވެހި rotation correction
subtlety astronomical waati civil waati convert. astronomers terrestrial time (TT) uniformly tick ، ވާ clocks UTC leap sekondi ދިވެහި irregular rotation aligned.
TT UTC difference ΔT (delta T). current era (2015–2035) ΔT ~69.36 sekondi slowly change — ~−0.06 sekondi year. ވާ calculation international earth rotation service (IERS) data polynomial fit:
ΔT ≈ 69.36 − 0.06 × (year − 2020)
correction lunar time properly UTC aligned.
moon phase calculation — meeus algorithm
moon phase calendar jean meeus algorithm astronomical algorithms (chapter 49). method precise new moons full moons quarter moons times 25 periodic correction terms moon orbital mechanics.
algorithm approximate lunation number (k) calculate trigonometric corrections apply moon mean anomaly sun mean anomaly moon argument latitude ascending node longitude.
separate correction tables new moons (table 49.a) full moons (table 49.b) quarter moons (table 49.c/d w correction). result ~2 miniti u.s. naval observatory data.
illumination ak phase names
major phases between moon illumination piecewise interpolation quarter times calculated. approach moon varying orbital speed account (perigee faster slow apogee) illumination percentages accurate sinusoidal.
phase names lunation cycle position assigned: new moon → waxing crescent → first quarter → waxing gibbous → full moon → waning gibbous → last quarter → waning crescent. phase boundaries calculated phase times (fixed fractional positions ނޫ).