On the Mashhoon-Theiss ``anomaly''

Details On the Mashhoon-Theiss ``anomaly'' On the Mashhoon-Theiss ``anomaly''

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.2441g&link_type=abstract

Physical Review D (Particles and Fields), Volume 39, Issue 8, 15 April 1989, pp.2441-2443

Statistics

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2

Relativity And Gravitation

Scientific paper

Relativistic effects in the motion of parallel-transported axes and their contribution to the tidal forces are considered. To this end we analyze the motion of a local inertial frame and the projected tidal-force tensor in the field of a slowly rotating mass in the first post-Newtonian approximation. It is demonstrated that the Mashhoon-Theiss ``anomaly'' appears already at this level and can be understood as arising from an interplay between the geodetic (Fokker) precession and Lense-Thirring (Schiff) precession. Hence, there is no ``new'' relativistic (resonant) effect related to rotating masses. Applications and orders of magnitude of these effects are discussed for space gradiometry and the motion of the Earth-Moon system.

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