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Post-Newtonian diagnostic of quasiequilibrium binary configurations of compact objects

Post-Newtonian diagnostic of quasiequilibrium binary configurations of compact objects

Using equations of motion accurate to the third post-Newtonian (3PN) order $[{O(v/c)}^{6}$ beyond Newtonian gravity], we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or neutron stars) for arbitrary orbital eccentricity. We also incorporate finite-size contributions such as …