Stacked central configurations for the spatial six-body problem

JOURNAL OF GEOMETRY AND PHYSICS

卷:59

Article

Mello, Luis Fernando¹  Chaves, Felipe Ernanoel¹  Fernandes, Antonio Carlos²  Garcia, Braulio Augusto² 

[1] Univ Fed Itajuba, Inst Ciencias Exatas, BR-37500903 Itajuba, MG, Brazil

[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil

关键词: Spatial central configurations;    Stacked central configurations;    Six-body problem;   

DOI  :  10.1016/j.geomphys.2009.06.004

来源: Elsevier

【 摘 要 】

In this paper we show the existence of three new families of stacked spatial central configurations for the six-body problem with the following properties: four bodies are at the vertices of a regular tetrahedron and the other two bodies are on a line connecting one vertex of the tetrahedron with the center of the opposite face. (c) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free