Analytical determination of the two-body gravitational interaction potential at the fourth post-Newtonian approximation
Analytical determination of the two-body gravitational interaction potential at the fourth post-Newtonian approximation
We complete the analytical determination, at the 4th post-Newtonian approximation, of the main radial potential describing the gravitational interaction of two bodies within the effective one-body formalism. The (non logarithmic) coefficient a_5 (nu) measuring this 4th post-Newtonian interaction potential is found to be linear in the symmetric mass ratio nu. …