Circular solution of two unequal mass particles in post-Minkowski approximation

Details Circular solution of two unequal mass particles in post-Minkowski approximation Circular solution of two unequal mass particles in post-Minkowski approximation

2007-04-28

arxiv.org/abs/0704.3769v1

Phys.Rev.D76:027501,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 4 figures, 4/27/07

Scientific paper

10.1103/PhysRevD.76.027501

A Fokker action for post-Minkowski approximation with the first post-Newtonian correction is introduced in our previous paper, and a solution for the helically symmetric circular orbit is obtained. We present supplemental results for the circular solution of two unequal mass point-particles. Circular solutions for selected mass ratios are found numerically, and analytic formulas in the extreme mass ratio limit are derived. The leading terms of the analytic formulas agree with the first post-Newtonian formulas in this limit.

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