New classes of spatial central configurations for the 7-body problem

Anais da Academia Brasileira de Ciências

Antonio Carlos Fernandes¹  Luis Fernando Mello¹ 

关键词: Spatial central configuration;    7-body problem;    stacked central configuration;    central configuration;    configuração espacial;    problema de 7 corpos;    configuração central;    configuração central empilhada;   

DOI  :  10.1590/0001-37652014107412

来源: SciELO

【 摘 要 】

In this paper we show the existence of new families of spatial central configurations for the 7-body problem. In the studied spatial central configurations, six bodies are at the vertices of two equilateral triangles,and one body is located out of the parallel distinct planes containingand . The results have simple and analytic proofs.

【 授权许可】

CC BY   
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