Application of energy and angular momentum balance to gravitational radiation reaction for binary systems with spin-orbit coupling

摘要

We study gravitational radiation reaction in the equations of motion forbinary systems with spin-orbit coupling, at order (v/c)^7 beyond Newtoniangravity, or O(v/c)^2 beyond the leading radiation reaction effects fornon-spinning bodies. We use expressions for the energy and angular momentumflux at infinity that include spin-orbit corrections, together with anassumption of energy and angular momentum balance, to derive equations ofmotion that are valid for general orbits and for a class of coordinate gauges.We show that the equations of motion are compatible with those derived earlierby a direct calculation.