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arXiv · 1805.00813

PoMiN: A Post-Minkowskian $N$-Body Solver

Justin Feng·Mark Baumann·Bryton Hall·Joel Doss·Lucas Spencer·Richard Matzner
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Abstract

In this paper, we introduce PoMiN, 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 $c$. PoMiN is written in C and uses a fourth-order Runge-Kutta integration scheme. PoMiN 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.

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Justin Feng, Mark Baumann, Bryton Hall, Joel Doss, Lucas Spencer, Richard Matzner. 2018-04-30. PoMiN: A Post-Minkowskian $N$-Body Solver. https://doi.org/10.3847/1538-4357%2Faac209

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