Equations of motion of self-gravitatingN-body systems in the first post-Minkowskian approximation

The post-Minkowskian expansion in general relativity (an expansion when the compactness parameter G00exm/r/c² of the source tends to zero) applied to the motion of N-body systems is revisited and compared to recently derived high-order post-Newtonian calculations (expansion when the slowness parameter v²/c² tends to zero).