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Central configurations of nested rotated regular tetrahedra

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dc.contributor Universitat de Vic. Escola Politècnica Superior
dc.contributor Universitat de Vic. Grup de Recerca en Tecnologies Digitals
dc.contributor.author Corbera Subirana, Montserrat
dc.contributor.author Llibre, Jaume
dc.date.accessioned 2013-04-19T11:25:26Z
dc.date.available 2013-04-19T11:25:26Z
dc.date.created 2009
dc.date.issued 2009
dc.identifier.citation CORBERA SUBIRANA, Montserrat; LLIBRE, J. "Central configurations of nested rotated regular tetrahedra". A: Journal of Geometry and Physics, 2009, vol. 59, núm. 10, pàg. 1379-1394. ca_ES
dc.identifier.issn 0393-0440
dc.identifier.uri http://hdl.handle.net/10854/2206
dc.description.abstract 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. en
dc.format application/pdf
dc.format.extent 28 p. ca_ES
dc.language.iso eng en
dc.publisher Elsevier ca_ES
dc.rights (c) 2007 Elsevier. Published article is available at: http://dx.doi.org/10.1016/j.geomphys.2009.07.004
dc.subject.other Matemàtica ca_ES
dc.title Central configurations of nested rotated regular tetrahedra ca_ES
dc.type info:eu-repo/semantics/article ca_ES
dc.identifier.doi https://doi.org/10.1016/j.geomphys.2009.07.004
dc.relation.publisherversion http://www.sciencedirect.com/science/article/pii/S0393044009001119
dc.rights.accesRights info:eu-repo/semantics/openAccess ca_ES
dc.type.version info:eu-repo/acceptedVersion ca_ES
dc.indexacio Indexat a SCOPUS
dc.indexacio Indexat a WOS/JCR ca_ES

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