# High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations

@article{Bini2013HighorderPC, title={High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations}, author={Donato Bini and T. Damour}, journal={Physical Review D}, year={2013}, volume={89}, pages={064063} }

We extend the analytical determination of the main radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies beyond the 4th post-Newtonian approximation recently obtained by us. This extension is done to linear order in the mass ratio by applying analytical gravitational self-force theory (for a particle in circular orbit around a Schwarzschild black hole) to Detweiler's gauge-invariant redshift variable. By using the version of black hole…

## 65 Citations

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