1209.1304 (Fengying Li et al.)

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

Fengying Li, Shiqing Zhang, Xiaoxiao Zhao

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 $N\geq2$.

View original: http://arxiv.org/abs/1209.1304