The influence of lunar tidal potential on clock frequencies at different positions on Earth

Abstract

With the advancements in clock timing technology, increasingly smaller time differences can be distinguished. Therefore, it is critical to investigate the fractional frequency shift of clocks at different locations on Earth. In this paper, we study it systematically under the influence of a subtle lunar tidal potential based on a new method. Our calculations in the geocentric Fermi frame show that when two clocks are located at the same latitude, the longitude difference changes the fractional frequency shift between them. A similar phenomenon occurs when there is a difference in latitude between two clocks on the ground at the same longitude. Interestingly, when the Moon's longitude changes, the phase and amplitude of the lunar tidal fractional frequency shift between two clocks with the same longitude difference will change, while the change in the Moon's latitude only affects the amplitude of the fractional frequency shift of these two clocks. Our results provide useful information for the calibration and synchronization of clocks on Earth.

References in corpus (19)

• An Optical Lattice Clock with Accuracy and Stability at the $10^{-18}$ Level
• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• Single-Ion Atomic Clock with $3\times 10^{-18}$ Systematic Uncertainty
• Hunting for topological dark matter with atomic clocks
• The IAU 2000 resolutions for astrometry, celestial mechanics and metrology in the relativistic framework: explanatory supplement
• Optical clock comparison test of Lorentz symmetry
• A gravitational redshift test using eccentric Galileo satellites
• Cold Atom Clock Test of Lorentz Invariance in the Matter Sector
• Coherent Optical Clock Down-Conversion for Microwave Frequencies with 10-18 Instability
• Test of the Gravitational Redshift with Galileo Satellites in an Eccentric Orbit
• Relativistic theory for time and frequency transfer to order c^{-3}
• Time transfer and frequency shift to the order 1/c^4 in the field of an axisymmetric rotating body
• High-Stability Single-Ion Clock with $5.5\times 10^{-19}$ Systematic Uncertainty
• Lorentz-symmetry test at Planck-scale suppression with nucleons in a spin-polarized ${}^{133}$Cs cold atom clock
• General relativistic observables of the GRAIL mission
• Relativistic tidal effects on clock-comparison experiments
• Lunar Time in General Relativity
• Test of Einstein Equivalence Principle by frequency comparisons of optical clocks
• Spherical harmonics representation of the gravitational phase shift

Cited by in corpus (1)

• Lunar tidal response-induced clock frequency variations on the Moon