Atomic clocks identical kalen kɛ — dunia surface ak juma kɔ — juma kelen juma kɔ jɔ, juma clock 56.02 microseconds ahead ye. A clocks flaw jɔ. A universe fundamental property, Einstein general theory of relativity 100 jama kɔ tuma ye.
Gravitational Time Dilation Fali
Einstein general relativity, 1915 kɔ jɛ, gravity force jɔ, spacetime curvature ye. Massive objects Earth ak Moon spacetime curvature jɛ, a curvature waati pass affect ye.
Key principle simple: gravity field stronger, waati slower pass ye. A gravitational time dilation ye jɛ. Earth surface gravity 9.8 m/s², juma 1.62 m/s² — roughly one-sixth strong. Juma gravity weaker, spacetime less curved, clocks faster tick ye.
56 Microsecond Number
Precise rate lunar clocks faster run, gravitational potential difference Earth surface ak juma surface kɔ, plus orbital velocity plus Earth rotation corrections.
Gravitational blueshift — clocks faster weak gravity kɔ — ~58.7 microseconds juma kɔ contribute. Kɔ juma orbital velocity (1.022 km/s) small time dilation opposite direction (special relativity velocity-dependent effect) ye, ~2.7 microseconds juma reduce ye. Combined result ~56.02 microseconds juma ye.
A number NASA JPL ak NIST independent analyses confirm.
A Theoretical Jɔ — A Measured Ye
Gravitational time dilation physics tests fɔ predicted predictions. GPS satellites, ~20,200 km altitude kɔ orbit, 45 microseconds juma kɔ faster gain ye ground clocks kɔ. GPS corrections relativity jɔ, positions ~10 km juma kɔ drift ye.
Same physics juma kɔ apply ye. Juma surface atomic clocks place jɔ, effect calculated well-tested equations kɔ. Gravitational time dilation formula predictions one part trillion better confirmed.
56 Microseconds Kɛnɛ Matter
Human activities kɔ, 56 microseconds imperceptible ye. Kɔ precision systems, a quickly add ye:
Moon juma kɔ, juma clock ~1.7 milliseconds ahead ye. Juma kelen kelen, offset ~20 milliseconds ye. J2000.0 epoch kɔnɛ, accumulated drift 0.5 sekondi exceed ye.
Navigation kɔ, light ~300 mɛta microsecond kɔ travel ye. 56-microsecond timing error 16 mɛta juma kɔ position uncertainty ye. Artemis missions precision landings kɔ — lunar south pole near specific sites targeting — a drift level unacceptable ye correction jɔ.
A kɛnɛ exactly Coordinated Lunar Time (LTC) developed: relativistic difference account time standard kɛ ak lunar systems synchronized keep kɛ.