v 1 1 0 O ct 2 00 1 On the gravitomagnetic clock effect
نویسندگان
چکیده
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 elliptical orbit in the exterior field of a slowly rotating mass. Some of the implications of this result are briefly discussed. PACS: 04.20.Cv; 04.80
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