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Periodic Solutions for Circular Restricted -Body Problems

2013; Hindawi Publishing Corporation; Volume: 2013; Linguagem: Inglês

10.1155/2013/173639

1687-0409

Xiaoxiao Zhao, Wei Li, Peng Wang,

Space Satellite Systems and Control

For circular restricted -body problems, we study the motion of a sufficiently small mass point (called the zero mass point) in the plane of equal masses located at the vertices of a regular polygon. By using variational minimizing methods, for some , we prove the existence of the noncollision periodic solution for the zero mass point with some fixed wingding number.