PoMiN: A Post-Minkowskian N-body Solver

Abstract

In this paper, we introduce , a lightweight N -body code based on the post-Minkowskian N -body Hamiltonian of Ledvinka et al., which includes general relativistic effects up to first order in Newton’s constant G , and all orders in the speed of light c . is written in and uses a fourth-order Runge–Kutta integration scheme. has also been written to handle an arbitrary number of particles (both massive and massless), with a computational complexity that scales as O ( N 2 ). We describe the methods we used to simplify and organize the Hamiltonian, and the tests we performed (convergence, conservation, and analytical comparison tests) to validate the code.