On the equation of motion of compact binaries in the post-Newtonian 
approximation

Itoh, Yousuke

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On the equation of motion of compact binaries in the post-Newtonian approximation

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Itoh, Yousuke
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;
MPI for Gravitational Physics, Max Planck Society;

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Itoh, Y. (2004). On the equation of motion of compact binaries in the post-Newtonian approximation. Classical Quantum Gravity, 21(5), S529-S534.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5038-1

Abstract

A third post-Newtonian (3 PN) equation of motion for two spherical compact stars in a harmonic coordinate has been derived based on the surface integral approach and the strong field point particle limit. The strong field point particle limit enables us to incorporate a notion of a self-gravitating regular star into general relativity. The resulting 3 PN equation of motion is Lorentz invariant, unambiguous, and conserves the energy of the binary orbital motion.