Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ap%26ss.167..125r&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 167, no. 1, May 1990, p. 125-138.
Astronomy and Astrophysics
Astrophysics
1
Gauge Theory, Many Body Problem, Relativity, Einstein Equations, Equations Of Motion, Gravitation Theory
Scientific paper
The explicit forms of the metric as well as the equations of motion in the first-order post-Newtonian approximation are worked out under several gauge conditions. It is noted that the so-called EIH equation of motion for an assembly of N finite mass points mutually interacting via gravitation is identically obtained under three different gauge conditions, even though the solutions for the metric are all different. The second-order contribution to the acceleration of planets in the limit of test particle motion around the sun is calculated, the inclusion of which in the EIH set of the equations of motion would extend the relatively accuracy of computing the total acceleration of any planet to better than one part in 10 to the 17th.
Rana Narayan C.
Roy Rajat
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