Spin-spin effects in radiating compact binaries

Abstract

The dynamics of a binary system with two spinning components on an eccentric orbit is studied, with the inclusion of the spin-spin interaction terms appearing at the second post-Newtonian order. A generalized true anomaly parametrization properly describes the radial component of the motion. The average over one radial period of the magnitude of the orbital angular momentum $\bar{L}$ is found to have no nonradiative secular change. All spin-spin terms in the secular radiative loss of the energy and magnitude of orbital angular momentum are given in terms of $\bar{L}$ and other constants of the motion. Among them, self-interaction spin effects are found, representing the second post-Newtonian correction to the 3/2 post-Newtonian order Lense-Thirring approximation.

12 pages, to appear in Phys. Rev. D

References in corpus (4)

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• Spin effects in gravitational radiation backreaction III. Compact binaries with two spinning components
• Spin effects in gravitational radiation backreaction I. The Lense-Thirring approximation
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