New gravitational self-force analytical results for eccentric orbits around a Schwarzschild black hole
New gravitational self-force analytical results for eccentric orbits around a Schwarzschild black hole
We raise the analytical knowledge of the eccentricity expansion of the Detweiler-Barack-Sago redshift invariant in a Schwarzschild spacetime up to the 9.5th post-Newtonian order (included) for the ${e}^{2}$ and ${e}^{4}$ contributions, and up to the 4th post-Newtonian order for the higher eccentricity contributions through ${e}^{20}$. We convert this information into …