Two classes of stacked central configurations for the spatial 2n + 1-body problem: Nested regular polyhedra plus one

JOURNAL OF GEOMETRY AND PHYSICS

卷:76

Article

Su, Xia^1,2  Deng, Chunhua¹ 

[1] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Peoples R China

[2] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

关键词: Stacked central configurations;    n-body problem;    Nested regular polyhedra;    Newtonian law;   

DOI  :  10.1016/j.geomphys.2013.10.007

来源: Elsevier

【 摘 要 】

In this paper we consider 2n mass points located at the vertices of two nested regular polyhedra with the same number of vertices and the (2n + 1)th mass located at the geometrical center of the nested regular polyhedra. We show the existence of central configurations for any given mass ratios and the size ratio of nested polyhedra. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free