A NOTE ON THE DZIOBEK CENTRAL CONFIGURATIONS

作者:Llibre Jaume*
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143(8): 3587-3591.
DOI:10.1090/s0002-9939-2015-12502-6

摘要

For the Newtonian n-body problem in Rn-2 with n = 3 we prove that the following two statements are equivalent. (a) Let x be a Dziobek central configuration having one mass located at the center of mass. (b) Let x be a central configuration formed by n-1 equal masses located at the vertices of a regular (n-2)-simplex together with an arbitrary mass located at its barycenter.

  • 出版日期2015-8