Higher-order corrections to the relativistic perihelion advance and the mass of binary pulsars

Details Higher-order corrections to the relativistic perihelion advance and the mass of binary pulsars Higher-order corrections to the relativistic perihelion advance and the mass of binary pulsars

2010-05-27

arxiv.org/abs/1005.5146v1

Astrophys.Space Sci.332:121-128,2011

Physics

Space Physics

8 pages. Accepted for publication in "Astrophysics & Space Science"

Scientific paper

10.1007/s10509-010-0502-z

We study the general relativistic orbital equation and using a straightforward perturbation method and a mathematical device first introduced by d'Alembert, we work out approximate expressions of a bound planetary orbit in the form of trigonometrical polynomials and the first three terms of the power series development of the perihelion advance. The results are applied to a more precise determination of the total mass of the double pulsar J0737-3039.

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