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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 | 2009 |
| dc.identifier | 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. |
| dc.identifier | 0393-0440 |
| dc.identifier | http://hdl.handle.net/10854/2206 |
| dc.identifier | https://doi.org/10.1016/j.geomphys.2009.07.004 |
| dc.identifier.uri | http://hdl.handle.net/10854/2206 |
| dc.description | 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. |
| dc.format | application/pdf |
| dc.language | eng |
| dc.publisher | Elsevier |
| dc.relation | http://www.sciencedirect.com/science/article/pii/S0393044009001119 |
| dc.rights | (c) 2007 Elsevier. Published article is available at: http://dx.doi.org/10.1016/j.geomphys.2009.07.004 |
| dc.rights | info:eu-repo/semantics/openAccess |
| dc.subject | Matemàtica |
| dc.title | Central configurations of nested rotated regular tetrahedra |
| dc.type | info:eu-repo/semantics/article |
| dc.type | info:eu-repo/acceptedVersion |
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| Ficheros | Tamaño | Formato | Vista |
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| artconlli_a2009 ... central_configurations.pdf | 737.2 KB | application/pdf | Vista/Abrir |