Nonplanar Periodic Solutions for Spatial Restricted N+1-Body Problems

2012/09/06 by Fengying Li, Li, Fengying, Shiqing Zhang +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1209.1304

arxiv created 2012/09/06 · arxiv updated 2012/09/07

Abstract

We use variational minimizing methods to study spatial restricted N+1-body problems with a zero mass moving on the vertical axis of the moving plane for N equal masses. We prove that the minimizer of the Lagrangian action on the anti-T/2 or odd symmetric loop space must be a non-planar periodic solution for any N≥2.

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