Coordinated Lunar Time concept — calculated well-established physics astronomy. Article live LTC clock moontimenow.com mathematics reference epoch jasy ára algorithm.
J2000.0 Reference Epoch
Ára system starting point. Jasy ára 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 jasy ará days elapsed jasy ará Yvy ára drifted calculate.
Drift Rate Formula
Core calculation straightforward. Relativistic drift rate +56.02 microseconds ará. Cumulative drift any moment:
1. Days J2000.0 (fractional days) calculate 2. 56.02 microseconds multiply 3. Offset UTC current ará add
Example January 1, 2025, ~9,131 ará J2000.0. Cumulative drift 9,131 × 56.02 = 511,418.62 microseconds o ~0.511 segundo.
Drift rate Yvy surface ha jasy surface gravitational potential difference orbital velocity corrections. NIST 2024 framework full derivation.
ΔT — Yvy Rotation Correction
Subtlety astronomical ará civil ará convert. Astronomers terrestrial time (TT) uniformly tick, ava clocks UTC leap segundo Yvy irregular rotation aligned.
TT UTC difference ΔT (delta T). Current era (2015–2035) ΔT ~69.36 segundo slowly change — ~−0.06 segundo ɨkatu. Ava calculation international earth rotation service (IERS) data polynomial fit:
ΔT ≈ 69.36 − 0.06 × (year − 2020)
Correction jasy ará 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 ára 25 periodic correction terms jasy orbital mechanics.
Algorithm approximate lunation number (k) calculate trigonometric corrections apply jasy mean anomaly ara mean anomaly jasy 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 ha Phase Names
Major phases between jasy illumination piecewise interpolation quarter ára calculated. Approach jasy varying orbital speed account (perigee iporái 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 ára (fixed fractional positions nu).