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Central configurations of the 4-body problem with masses m1 ¼ m2 > m3 ¼ m4 ¼ m > 0 and m small

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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 2014-12-15T11:25:18Z
dc.date.available 2014-12-15T11:25:18Z
dc.date.created 2014
dc.date.issued 2014
dc.identifier.citation Corbera Subirana, M., & Llibre, J. (2014). Central configurations of the 4-body problem with masses m(1) = m(2) > m(3) = m(4) = m > 0 and m small. Applied Mathematics and Computation, 246, 121-147. ca_ES
dc.identifier.issn 0096-3003
dc.identifier.uri http://hdl.handle.net/10854/3747
dc.description.abstract In this paper we give a complete description of the families of central configurations of the planar 4-body problem with two pairs of equals masses and two equal masses sufficiently small. In particular, we give an analytical proof that this particular 4-body problem has exactly 34 different classes of central configurations. Moreover for this problem we prove the following two conjectures: There is a unique convex planar central configuration of the 4-body problem for each ordering of the masses in the boundary of its convex hull, which appears in Albouy and Fu (2007) [3]. We also prove the conjecture: There is a unique convex planar central configuration having two pairs of equal masses located at the adjacent vertices of the configuration and it is an isosceles trapezoid. Finally, the families of central configurations of this 4-body problem are numerically continued to the 4-body problem with four equal masses. ca_ES
dc.format application/pdf
dc.format.extent 27 p. ca_ES
dc.language.iso eng ca_ES
dc.publisher Elsevier ca_ES
dc.rights (c) 2014 Elsevier. Published article is available at: http://dx.doi.org/10.1016/j.amc.2014.07.109 ca_ES
dc.subject.other Matemàtica ca_ES
dc.title Central configurations of the 4-body problem with masses m1 ¼ m2 > m3 ¼ m4 ¼ m > 0 and m small ca_ES
dc.type info:eu-repo/semantics/article ca_ES
dc.identifier.doi https://doi.org/10.1016/j.amc.2014.07.109
dc.rights.accesRights info:eu-repo/semantics/closedAccess ca_ES
dc.type.version info:eu-repo/publishedVersion ca_ES
dc.indexacio Indexat a WOS/JCR ca_ES

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