A. Gopakumar et al., 2ND POST-NEWTONIAN GRAVITATIONAL-RADIATION REACTION FOR 2-BODY SYSTEMS - NONSPINNING BODIES, Physical review. D. Particles and fields, 55(10), 1997, pp. 6030-6053
Starting from the recently obtained post-post-Newtonian (2PN) accurate
forms of the energy and angular momentum fluxes from inspiraling comp
act binaries, we deduce the gravitational radiation reaction to 2PN or
der beyond the quadrupole approximation-4.5PN terms in the equation of
motion-using the refined balance method proposed by Iyer and Will. We
explore critically the features of their construction and illustrate
them by contrast with other possible variants. The equations of motion
are valid for general binary orbits and for a class of coordinate gau
ges. The limiting cases of circular orbits and radial infall are also
discussed.