Spin Effects in Gravitational Radiation Back Reaction

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, considering all spin-orbit and spin-spin effects up to 3/2 post-Newtonian order, both in the equations of motion and in the radiative losses. The description of the eccentric orbit in terms of the true anomaly parametrization provides a simple averaging technique, based on the residue theorem. 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 evolution of dynamical and angular variables is presented in the form of a closed system of differential equations.

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