Periodic solutions for
-body problems with fixed centers
1 Department of Mathematics and Computer Science, Mianyang Normal University, Mianyang, Sichuan, 621000, P.R. China
2 Department of Mathematics, Sichuan University, Chengdu, 610064, P.R. China
3 School of Science, Southwest University of Science and Technology, Mianyang, Sichuan, 621000, P.R. China
Boundary Value Problems 2013, 2013:129 doi:10.1186/1687-2770-2013-129Published: 17 May 2013
In this paper, we prove the existence of a new periodic solution for -body problems with fixed centers and strong-force potentials. In this model, N particles with equal masses are fixed at the vertices of a regular N-gon and the th particle is fixed at the center of the N-gon, the th particle winding around N particles.
MSC: 34C15, 34C25, 70F10.