New stacked central configurations for the planar 5-body problem |
| |
| Authors: | Jaume Llibre Luis Fernando Mello Ernesto Perez-Chavela |
| |
| Institution: | 1.Departament de Matemàtiques,Universitat Autònoma de Barcelona,Bellaterra, Barcelona, Catalonia,Spain;2.Instituto de Ciências Exatas,Universidade Federal de Itajubá,Itajubá,Brazil;3.Departamento de Matemáticas,UAM-Iztapalapa,Iztapalapa, Mexico,Mexico |
| |
| Abstract: | A stacked central configuration in the n-body problem is one that has a proper subset of the n-bodies forming a central configuration. In this paper we study the case where three bodies with masses m
1, m
2, m
3 (bodies 1, 2, 3) form an equilateral central configuration, and the other two with masses m
4, m
5 are symmetric with respect to the mediatrix of the segment joining 1 and 2, and they are above the triangle generated by
{1, 2, 3}. We show the existence and non-existence of this kind of stacked central configurations for the planar 5-body problem. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
