Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling

Thibault Damour, Piotr Jaranowski, Gerhard Schäfer

A Hamiltonian formulation is given for the gravitational dynamics of two spinning compact bodies to next-to-leading order ($G/c^4$ and $G^2/c^4$) in the spin-orbit interaction. We…