Nonplanar Periodic Solutions for Spatial Restricted N+1-Body Problems
Mathematical Physics
2012-09-07 v1 math.MP
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 .
Keywords
Cite
@article{arxiv.1209.1304,
title = {Nonplanar Periodic Solutions for Spatial Restricted N+1-Body Problems},
author = {Fengying Li and Shiqing Zhang and Xiaoxiao Zhao},
journal= {arXiv preprint arXiv:1209.1304},
year = {2012}
}