Third POST Newtonian Equation of Motion for Relativistic Compact Binaries

Physics

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Scientific paper

We derive a third post-Newtonian equation of motion for two self-gravitating point masses in a harmonic coordinate using surface integral approach and strong field point particle limit. Our equation of motion is unambiguous, Lorentz invariant (in the post-Newtonian perturbative sense), and conservative (modulo the radiation reaction effect). Namely, we determine the ambiguous parameter found by the other works.

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