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Equilibrium points and central configurations for the Lennard-Jones 2-and 3-body problems

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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.contributor.author Pérez-Chavela, Ernesto
dc.date.accessioned 2013-04-22T08:35:33Z
dc.date.available 2013-04-22T08:35:33Z
dc.date.created 2004
dc.date.issued 2004
dc.identifier.citation CORBERA SUBIRANA, Montserrat; LLIBRE, Jaume; PEREZ-CHAVELA, Ernesto. "Equilibrium points and central configurations for the Lennard-Jones 2-and 3-body problems". A: Celestial Mechanics & Dynamical Astronomy, 2004, vol. 89, núm. 3, pàg. 235-266. ca_ES
dc.identifier.issn 0923-2958
dc.identifier.uri http://hdl.handle.net/10854/2213
dc.description.abstract Abstract. In this paper we study the relative equilibria and their stability for a system of three point particles moving under the action of a Lennard{Jones potential. A central con guration is a special position of the particles where the position and acceleration vectors of each particle are proportional, and the constant of proportionality is the same for all particles. Since the Lennard{Jones potential depends only on the mutual distances among the particles, it is invariant under rotations. In a rotating frame the orbits coming from central con gurations become equilibrium points, the relative equilibria. Due to the form of the potential, the relative equilibria depend on the size of the system, that is, depend strongly of the momentum of inertia I. In this work we characterize the relative equilibria, we nd the bifurcation values of I for which the number of relative equilibria is changing, we also analyze the stability of the relative equilibria. en
dc.format application/pdf
dc.format.extent 36 p. ca_ES
dc.language.iso eng ca_ES
dc.publisher Springer Verlag ca_ES
dc.rights Tots els drets reservats
dc.rights (c) Springer (The original publication is available at www.springerlink.com)
dc.subject.other Matemàtica ca_ES
dc.title Equilibrium points and central configurations for the Lennard-Jones 2-and 3-body problems en
dc.type info:eu-repo/semantics/article ca_ES
dc.identifier.doi https://doi.org/10.1023/B:CELE.0000038600.74660.34
dc.relation.publisherversion http://link.springer.com/article/10.1023/B%3ACELE.0000038600.74660.34
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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