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

Abstract

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.

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

References in corpus (3)

• Tests of general relativity from timing the double pulsar
• Periastron Precession Measurements in Transiting Extrasolar Planetary Systems at the Level of General Relativity
• Are we far from testing general relativity with the transiting extrasolar planet HD 209458b `Osiris'?

Cited by in corpus (4)

• Revisiting the 2PN pericentre precession in view of possible future measurements of it
• Perihelion advance for orbits with large eccentricities in the Schwarzschild black hole
• Spin contribution to the perihelion precession in binary systems like OJ287: higher order corrections
• Einstein's perihelion formula and its generalization