A symplectic integrator for the symmetry reduced and regularised planar 3-body problem with vanishing angular momentum

被引：0
|
作者：
Danya Rose
Holger R. Dullin
机构：
[1] University of Sydney,School of Mathematics and Statistics
来源：
Celestial Mechanics and Dynamical Astronomy | 2013年 / 117卷
关键词：
Geometric integration; Explicit symplectic integration; Numerical integration; 3-Body problem; Symmetry reduction; Hamiltonian system; Regularisation;
D O I：
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学科分类号：
摘要：
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.
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页码：169 / 185
页数：16
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