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Central configurations of nested regular polyhedra for the spatial 2n–body problem
Corbera Subirana, Montserrat; Llibre, Jaume
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)
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.
2008
Matemàtica
(c) 2008 Elsevier. Published article is available at: http://dx.doi.org/10.1016/j.geomphys.2008.05.003
22 p.
Article
Elsevier;
World scientific Publishing
         

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