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arXiv · 1311.4209

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

Nai-Chia Chen
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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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Nai-Chia Chen. 2013-11-17. Symmetric Periodic Orbits in Three Sub-Problems of the N-body Problem. https://arxiv.org/abs/1311.4209

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