Spin-spin effects in radiating compact binaries - art. no. 024035

The dynamics of a binary system with two spinning components on an eccentri c orbit is studied, with the inclusion of the spin-spin interaction terms a ppearing at the second post-Newtonian order. A generalized true anomaly par ametrization properly describes the radial component of the motion. The ave rage over one radial period of the magnitude of the orbital angular momentu m (L) over bar is found to have no nonradiative secular change. All spin-sp in terms in the secular radiative loss of the energy and magnitude of orbit al angular momentum an given in terms of (L) over bar and other constants o f the motion. Among them, self-interaction spin effects are found, represen ting the second post-Newtonian correction to the 3/2 post-Newtonian order L ense-Thirring approximation.