On the existence of central configurations of <Emphasis Type="Italic">p</Emphasis> nested regular polyhedra |
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| Authors: | Montserrat Corbera Jaume Llibre |
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| Institution: | 1.Departament de Tecnologies Digitals i de la Informació,Universitat de Vic,Vic, Barcelona,Spain;2.Departament de Matemàtiques,Universitat Autònoma de Barcelona,Bellaterra, Barcelona,Spain |
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| Abstract: | In this paper we prove, for all p ≥ 2, the existence of central configurations of the pn-body problem where the masses are located at the vertices of p nested regular polyhedra having the same number of vertices n and a common center. In such configurations all the masses on the same polyhedron are equal, but masses on different polyhedra
could be different. |
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