A symplectic integrator for the symmetry reduced and regularised planar 3-body problem with vanishing angular momentum
Computational Physics
2013-10-30 v4
Abstract
We construct an explicit reversible symplectic integrator for the planar 3-body problem with zero angular momentum. We start with a Hamiltonian of the planar 3-body problem that is globally regularised and fully symmetry reduced. This Hamiltonian is a sum of 10 polynomials each of which can be integrated exactly, and hence a symplectic integrator is constructed. The performance of the integrator is examined with three numerical examples: The figure eight, the pythagorean orbit, and a periodic collision orbit.
Keywords
Cite
@article{arxiv.1302.0912,
title = {A symplectic integrator for the symmetry reduced and regularised planar 3-body problem with vanishing angular momentum},
author = {Danya Rose and Holger Dullin},
journal= {arXiv preprint arXiv:1302.0912},
year = {2013}
}
Comments
23 pages, 9 figures