• Corpus ID: 118201803

# Periodic Solutions for Circular Restricted 4-body Problems with Newtonian Potentials

@article{Zhao2013PeriodicSF,
title={Periodic Solutions for Circular Restricted 4-body Problems with Newtonian Potentials},
author={Xiaoxia Zhao and Shiqing Zhang},
journal={arXiv: Mathematical Physics},
year={2013}
}
• Published 4 January 2013
• Mathematics
• arXiv: Mathematical Physics
We study the existence of non-collision periodic solutions with Newtonian potentials for the following planar restricted 4-body problems: Assume that the given positive masses $m_{1},m_{2},m_{3}$ in a Lagrange configuration move in circular obits around their center of masses, the sufficiently small mass moves around some body. Using variational minimizing methods, we prove the existence of minimizers for the Lagrangian action on anti-T/2 symmetric loop spaces. Moreover, we prove the minimizers…
2 Citations

## Tables from this paper

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