On the gravitomagnetic clock effect
arXiv:gr-qc/0110055 · doi:10.1016/S0375-9601(01)00776-9
Abstract
General relativity predicts that two freely counter-revolving test particles in the exterior field of a central rotating mass take different periods of time to complete the same full orbit; this time difference leads to the gravitomagnetic clock effect. The effect has been derived for circular equatorial orbits; moreover, it has been extended via azimuthal closure to spherical orbits around a slowly rotating mass. In this work, a general formula is derived for the main gravitomagnetic clock effect in the case of slow motion along an arbitrary {\it elliptical} orbit in the exterior field of a slowly rotating mass. Some of the implications of this result are briefly discussed.
LaTeX file, 2 figures, 15 pages
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