Central configurations of nested rotated regular tetrahedra
Contribuinte(s) |
Universitat de Vic. Escola Politècnica Superior Universitat de Vic. Grup de Recerca en Tecnologies Digitals |
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Data(s) |
2009
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Resumo |
In this paper we prove that there are only two different classes of central configura- tions with convenient masses located at the vertices of two nested regular tetrahedra: either when one of the tetrahedra is a homothecy of the other one, or when one of the tetrahedra is a homothecy followed by a rotation of Euler angles = = 0 and = of the other one. We also analyze the central configurations with convenient masses located at the vertices of three nested regular tetrahedra when one them is a homothecy of the other one, and the third one is a homothecy followed by a rotation of Euler angles = = 0 and = of the other two. In all these cases we have assumed that the masses on each tetrahedron are equal but masses on different tetrahedra could be different. |
Formato |
28 p. |
Identificador | |
Idioma(s) |
eng |
Publicador |
Elsevier |
Direitos |
(c) 2007 Elsevier. Published article is available at: http://dx.doi.org/10.1016/j.geomphys.2009.07.004 |
Palavras-Chave | #Matemàtica |
Tipo |
info:eu-repo/semantics/article |