Central configurations of nested regular polyhedra for the spatial 2n-body problem

JOURNAL OF GEOMETRY AND PHYSICS

卷:58

Article

Corbera, M.¹  Llibre, J.² 

[1] Univ Vic, Dept Tecnol Digitals & Informacio, Barcelona 08500, Catalonia, Spain

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

关键词: 2n-body problem;    Spatial central configurations;    Nested regular polyhedra;   

DOI  :  10.1016/j.geomphys.2008.05.003

来源: Elsevier

【 摘 要 】

We consider 2n masses located at the vertices of two nested regular polyhedra with the same number of vertices. Assuming that the masses in each polyhedron are equal, we prove that for each ratio of the masses of the inner and the outer polyhedra there exists a unique ratio of the length of the edges of the inner and the outer polyhedra such that the configuration is central. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

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