The second post-Newtonian order generalized Kepler equation
General Relativity and Quantum Cosmology
2009-05-15 v1 Astrophysics
Abstract
The radial component of the motion of compact binary systems composed of neutron stars and/or black holes on eccentric orbit is integrated. We consider all type of perturbations that emerge up to second post-Newtonian order. These perturbations are either of relativistic origin or are related to the spin, mass quadrupole and magnetic dipole moments of the binary components. We derive a generalized Kepler equation and investigate its domain of validity, in which it properly describes the radial motion.
Keywords
Cite
@article{arxiv.gr-qc/0612086,
title = {The second post-Newtonian order generalized Kepler equation},
author = {László Á. Gergely and Zoltán Keresztes and Balázs Mikóczi},
journal= {arXiv preprint arXiv:gr-qc/0612086},
year = {2009}
}
Comments
to appear in the Proceedings of the Eleventh Marcel Grossmann Meeting 2006, World Scientific, Singapore (2007)