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Explicit solution of the gravitational two-body problem at the second post-Minkowskian order

Explicit solution of the gravitational two-body problem at the second post-Minkowskian order

The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use our results to check the changes, during scattering, of the individual momenta, as well as of the …