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The Kepler equation for inspiralling compact binaries

Zoltán Keresztes·Balázs Mikóczi·László Á. Gergely
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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.

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Zoltán Keresztes, Balázs Mikóczi, László Á. Gergely. 2005-10-20. The Kepler equation for inspiralling compact binaries. https://doi.org/10.1103/physrevd.72.104022

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