Periodic Solutions for Circular Restricted N + 1‐Body Problems

Xiaoxiao Zhao, Wei Li and Peng Wang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: For circular restricted N + 1‐body problems, we study the motion of a sufficiently small mass point (called the zero mass point) in the plane of N equal masses located at the vertices of a regular polygon. By using variational minimizing methods, for some N, we prove the existence of the noncollision periodic solution for the zero mass point with some fixed wingding number.

Date: 2013
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https://doi.org/10.1155/2013/173639

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:173639

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