A Fully Analytic Expression for the 2PN N-Body Hamiltonian

Felix M. Heinze, Gerhard Schäfer, Bernd Brügmann

We present a complete analytic expression for the $N$-body Hamiltonian of nonspinning point particles at second post-Newtonian (2PN) order in the Arnowitt-Deser-Misner (ADM) gauge.…