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Título:	Central configurations of nested rotated regular tetrahedra
Autor/a:	Corbera Subirana, Montserrat; Llibre, Jaume
Otros autores:	Universitat de Vic. Escola Politècnica Superior; Universitat de Vic. Grup de Recerca en Tecnologies Digitals
Notas:	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.
Materia(s):	-Matemàtica
Derechos:	(c) 2007 Elsevier. Published article is available at: http://dx.doi.org/10.1016/j.geomphys.2009.07.004
Tipo de documento:	Artículo info:eu-repo/acceptedVersion
Editor:	Elsevier
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