Recoil velocity at second post-Newtonian order for spinning black hole binaries

until merger. Furthermore, we provide expressions valid for generic orbits, and accurate at 2PN order, for the energy and angular momentum carried by gravitational waves emitted from spinning binary black holes. Specializing to quasi-circular orbits we compute the spin-spin terms at 2PN order in the expression for the evolution of the orbital frequency and found agreement with Mik oczi, Vas uth and Gergely. We also veried that in the limit of extreme mass ratio our expressions for the energy and angular momentum uxes match the ones of Tagoshi, Shibata, Tanaka and Sasaki obtained in the context of black hole perturbation theory.

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