Symmetric Periodic Orbits in Three Sub-Problems of the N-body Problem

2013/11/17 by Nai-Chia Chen, Chen, Nai-Chia
Engineering · Physics and Astronomy · #Spacecraft Dynamics and Control #Astro and Planetary Science #Space Satellite Systems and Control

paper · pdf · doi:10.48550/arxiv.1311.4209

Abstract

We study three sub-problems of the N-body problem that have two degrees of freedom, namely the n-pyramidal problem, the planar double-polygon problem, and the spatial double-polygon problem. We prove the existence of several families of symmetric periodic orbits, including ``Schubart-like" orbits and brake orbits, by using topological shooting arguments.

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