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Advances in Mathematical Physics
Volume 2014, Article ID 629467, 5 pages
Research Article

On the Existence of Central Configurations of -Body Problems

1Department of Mathematics and Computer Science, Mianyang Normal University, Mianyang, Sichuan 621000, China
2Department of Mathematics, Sichuan University, Chengdu 610064, China

Received 24 March 2014; Accepted 25 June 2014; Published 9 July 2014

Academic Editor: Juan C. Marrero

Copyright © 2014 Yueyong Jiang and Furong Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We prove the existence of central configurations of the -body problems with Newtonian potentials in . In such configuration, masses are symmetrically located on the -axis, masses are symmetrically located on the -axis, and masses are symmetrically located on the -axis, respectively; the masses symmetrically about the origin are equal.