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arXiv · 1706.00459

Spin-orbit precession along eccentric orbits for extreme mass ratio black hole binaries and its effective-one-body transcription

Chris Kavanagh·Donato Bini·Thibault Damour·Seth Hopper·Adrian C. Ottewill·Barry Wardell
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Abstract

In this work we present an analytical gravitational self-force calculation of the spin-orbit precession along an eccentric orbit around a Schwarzschild black hole, following closely the recent prescription of Akcay, Dempsey, and Dolan. We then transcribe this quantity within the Effective-One-Body (EOB) formalism, thereby determining several new, linear-in-mass-ratio, contributions in the post-Newtonian expansion of the spin-orbit couplings entering the EOB Hamiltonian. Namely, we determine the second gyro-gravitomagnetic ratio $g_{S_*}(r,p_r,p_{\phi})$ up to order $p_r^2/r^4$ included.

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Chris Kavanagh, Donato Bini, Thibault Damour, Seth Hopper, Adrian C. Ottewill, Barry Wardell. 2017-06-01. Spin-orbit precession along eccentric orbits for extreme mass ratio black hole binaries and its effective-one-body transcription. https://doi.org/10.1103/physrevd.96.064012

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