Relativistic effects in local inertial frames including parametrized-post-Newtonian effects

Details Relativistic effects in local inertial frames including parametrized-post-Newtonian effects Relativistic effects in local inertial frames including parametrized-post-Newtonian effects

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..38.1645s&link_type=abstract

Physical Review D (Particles and Fields), Volume 38, Issue 6, 15 September 1988, pp.1645-1657

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13

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We use the concept of a generalized Fermi frame to describe relativistic effects, due to local and distant sources of gravitation, on a body placed in a local inertial frame of reference. In particular we have considered a model of two spherically symmetric gravitating point sources, moving in circular orbits around a common barycenter where one of the bodies is chosen to be the local and the other the distant one. This has been done using the slow-motion, weak-field approximation and including four of the parametrized-post-Newtonian (PPN) parameters. The position of the classical center of mass must be modified when the PPN parameter ζ2 is included. We show that the main relativistic effect on a local satellite is described by the Schwarzschild field of the local body and the nonlinear term corresponding to the self-interaction of the local source with itself. There are also much smaller terms that are proportional, respectively, to the product of the potentials of local and distant bodies and to the distant body's self-interactions. The spatial axes of the local frame undergo geodetic precession. In addition we have an acceleration of the order of 10-11 cm sec-2 that vanish in the case of general relativity, which is discussed in detail.

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