Central configurations of nested regular polyhedra for the spatial 2n–body problem


Autoria(s): Corbera Subirana, Montserrat; Llibre, Jaume
Contribuinte(s)

Universitat de Vic. Escola Politècnica Superior

Universitat de Vic. Grup de Recerca en Tecnologies Digitals

International Symposium Hamiltonian Systems and Celestial Mechanics ( 3er : Mèxic : 1998)

Data(s)

2008

Resumo

We consider 2n masses located at the vertices of two nested regular polyhedra with the same number of vertices. Assuming that the masses in each polyhedron are equal, we prove that for each ratio of the masses of the inner and the outer polyhedron there exists a unique ratio of the length of the edges of the inner and the outer polyhedron such that the configuration is central.

Formato

22 p.

Identificador

http://hdl.handle.net/10854/2207

Idioma(s)

eng

Publicador

Elsevier

World scientific Publishing

Direitos

(c) 2008 Elsevier. Published article is available at: http://dx.doi.org/10.1016/j.geomphys.2008.05.003

Palavras-Chave #Matemàtica
Tipo

info:eu-repo/semantics/article