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We present a closed system of coupled first order differential equationsgoverning the secular linear momentum loss of a compact binary due to emittedgravitational waves, with the leading order relativistic and spin-orbitperturbations included. In order to close the system, the secular evolutionequations of the linear momentum derived from the dissipative dynamics aresupplemented with the secular evolutions of the coupled angular variables, asderived from the conservative dynamics.

Secular momentum transport by gravitational waves from spinning compact binaries