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.
19th Texas Symposium on Relativistic Astrophysics and Cosmology
- Pub Date:
- December 1998