P. Jaranowski et G. Schafer, RADIATIVE 3.5-POST-NEWTONIAN ADM HAMILTONIAN FOR MANY-BODY POINT-MASSSYSTEMS, Physical review. D. Particles and fields, 55(8), 1997, pp. 4712-4722
We calculate to post(3.5)-Newlonian order of approximation of general
relativity the radiation-reaction part of the ADM Hamiltonian for a ma
ny-body system of nonspinning point masses. The Hamiltonian is applied
to the derivation of the gravitational energy loss of a gravitational
ly bound two-body system in quasielliptic motion. Agreement with the k
nown result for the time-averaged energy loss is obtained to order (up
silon/c)(7).