The Kepler equation for inspiralling compact binaries
Astrophysics
2016-08-16 v1 General Relativity and Quantum Cosmology
Abstract
Compact binaries consisting of neutron stars / black holes on eccentric orbit undergo a perturbed Keplerian motion. The perturbations are either of relativistic origin or are related to the spin, mass quadrupole and magnetic dipole moments of the binary components. The post-Newtonian motion of such systems decouples into radial and angular parts. We present here for the first time the radial motion of such a binary encoded in a generalized Kepler equation, with the inclusion of all above-mentioned contributions, up to linear order in the perturbations. Together with suitably introduced parametrizations, the radial motion is solved completely.
Keywords
Cite
@article{arxiv.astro-ph/0510602,
title = {The Kepler equation for inspiralling compact binaries},
author = {Zoltán Keresztes and Balázs Mikóczi and László Á. Gergely},
journal= {arXiv preprint arXiv:astro-ph/0510602},
year = {2016}
}