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Starting from the recently obtained 2PN accurate forms of the energy andangular momentum fluxes from inspiralling compact binaries, we deduce thegravitational radiation reaction to 2PN order beyond the quadrupoleapproximation - 4.5PN terms in the equation of motion - using the refinedbalance method proposed by Iyer and Will. We explore critically the features oftheir construction and illustrate them by contrast to other possible variants.The equations of motion are valid for general binary orbits and for a class ofcoordinate gauges. The limiting cases of circular orbits and radial infall arealso discussed.Comment: 38 pages, REVTeX, no figures, to appear in Phys. Rev.

Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies