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Spin effects in gravitational radiation backreaction III. Compact binaries with two spinning components

László Á. Gergely·Zoltán I. Perjés·Mátyás Vasúth
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Abstract

The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The spin-orbit and spin-spin effects up to the 3/2 post-Newtonian order are considered, both in the equations of motion and in the radiative losses. The description of the orbit in terms of the true anomaly parametrization provides a simple averaging technique, based on the residue theorem, over eccentric orbits. The evolution equations of the angle variables characterizing the relative orientation of the spin and orbital angular momenta reveal a speed-up effect due to the eccentricity. The dissipative evolutions of the relevant dynamical and angular variables is presented in the form of a closed system of differential equations.

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László Á. Gergely, Zoltán I. Perjés, Mátyás Vasúth. 1998-08-24. Spin effects in gravitational radiation backreaction III. Compact binaries with two spinning components. https://doi.org/10.1103/physrevd.58.124001

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