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Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. II. Two-body equations of motion to second post-Newtonian order, and radiation reaction to 3.5 post-Newtonian order
We derive the equations of motion for binary systems of compact bodies in the post-Newtonian (PN) approximation to general relativity. Results are given through 2PN order [order ${(v/c)}^{4}$ beyond Newtonian theory], and for gravitational radiation reaction effects at 2.5PN and 3.5PN orders. The method is based on a framework for …