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

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2503g&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Computer Science

Compact Binaries, Post-Newtonian Expansion, Spin, Quadrupole Moment

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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