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.
"Periodic Solutions for Circular Restricted -Body Problems." Abstr. Appl. Anal. 2013 (SI20) 1 - 8, 2013. https://doi.org/10.1155/2013/173639