PoMiN: A Post-Minkowskian N-body Solver
| Autor: | Joel Doss, Bryton Hall, Lucas Spencer, Richard A. Matzner, Mark Baumann, Justin C. Feng |
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| Rok vydání: | 2018 |
| Předmět: |
Physics
Computational complexity theory 010308 nuclear & particles physics FOS: Physical sciences Astronomy and Astrophysics General Relativity and Quantum Cosmology (gr-qc) Solver First order 01 natural sciences General Relativity and Quantum Cosmology Gravitation Massless particle symbols.namesake Space and Planetary Science 0103 physical sciences symbols Applied mathematics Hamiltonian (quantum mechanics) Relativistic quantum chemistry 010303 astronomy & astrophysics |
| Zdroj: | The Astrophysical Journal. 859:130 |
| ISSN: | 1538-4357 |
| Popis: | 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. Comment: 11 pages w/ 3 figures. Revised to match published version |
| Databáze: | OpenAIRE |
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