The second post-Newtonian order generalized Kepler equation

Details The second post-Newtonian order generalized Kepler equation The second post-Newtonian order generalized Kepler equation

2006-12-13

arxiv.org/abs/gr-qc/0612086v1

Proceedings of the Eleventh Marcel Grossmann Meeting 2006, Eds. H Kleinert, RT Jantzen and R Ruffini, World Scientific, Singap

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

to appear in the Proceedings of the Eleventh Marcel Grossmann Meeting 2006, World Scientific, Singapore (2007)

Scientific paper

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.

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