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On the Existence of Central Configurations of -Body Problems

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  • Yueyong Jiang
  • Furong Zhao

Abstract

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.

Suggested Citation

  • Yueyong Jiang & Furong Zhao, 2014. "On the Existence of Central Configurations of -Body Problems," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-5, July.
  • Handle: RePEc:hin:jnlamp:629467
    DOI: 10.1155/2014/629467
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