Periodic Solutions for Circular Restricted N+1-Body Problems

Abstract EN

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.