Astronomy and Astrophysics – Astrophysics
Scientific paper
2005-10-20
Phys.Rev.D72:104022,2005
Astronomy and Astrophysics
Astrophysics
Scientific paper
10.1103/PhysRevD.72.104022
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.
Gergely László Á
Keresztes Zoltán
Mikóczi Balázs
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