Stacked central configurations for Newtonian N+2p-body problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:407

Article

Zhao, Furong^1,2  Chen, Jian^2,3 

[1] Mianyang Normal Univ, Dept Math & Comp Sci, Mianyang 621000, Sichuan, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[3] Southwest Univ Sci & Technol, Dept Math, Mianyang 621000, Sichuan, Peoples R China

关键词: N+2p-body problems;    Central configurations;    Stacked central configurations;   

DOI  :  10.1016/j.jmaa.2013.05.049

来源: Elsevier

【 摘 要 】

We show the existence of spatial central configurations for the N + 2p-body problems. In such a configuration, N bodies are at the vertices of a regular N-gon T; 2p bodies are symmetric with respect to the center of T, and located on the straight line which is perpendicular to the regular N-gon T and passes through the center of T. The masses located on the vertices of the regular N-gon are assumed to be equal; the masses located on the same line and symmetric with respect to the center of T are equal. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free