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arXiv · 1506.05648

First Law of Mechanics for Compact Binaries on Eccentric Orbits

Alexandre Le Tiec
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Abstract

Using the canonical Arnowitt-Deser-Misner Hamiltonian formalism, a "first law of mechanics" is established for binary systems of point masses moving along generic stable bound (eccentric) orbits. This relationship is checked to hold within the post-Newtonian approximation to general relativity, up to third (3PN) order. Several applications are discussed, including the use of gravitational self-force results to inform post-Newtonian theory and the effective one-body model for eccentric-orbit compact binaries.

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Alexandre Le Tiec. 2015-10-12. First Law of Mechanics for Compact Binaries on Eccentric Orbits. https://doi.org/10.1103/physrevd.92.084021

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