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On the central configurations in the spatial 5-body problem with four equal masses

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dc.contributor Universitat de Vic - Universitat Central de Catalunya. Departament de Tecnologies Digitals i de la Informació
dc.contributor.author Alvarez, Martha
dc.contributor.author Corbera Subirana, Montserrat
dc.contributor.author Llibre, Jaume
dc.date.accessioned 2018-03-13T19:41:29Z
dc.date.available 2018-03-13T19:41:29Z
dc.date.created 2016
dc.date.issued 2016
dc.identifier.citation Alvarez-Ramírez, M., Corbera, M., Llibre J. (2016). On the central configurations in the spatial 5-body problem with four equal masses. Celestial Mech. Dynam. Astronom, 124(4), 433-456 es
dc.identifier.issn 1572-9478
dc.identifier.uri http://hdl.handle.net/10854/5374
dc.description.abstract We analyze the families of central configurations of the spatial 5-body problem with four masses equal to 1 when the fifth mass m varies from 0 to +∞. In particular we continue numerically, taking m as a parameter, the central configurations (which all are symmetric) of the restricted spatial (4+1)-body problem with four equal masses and m = 0 to the spatial 5-body problem with equal masses (i.e. m = 1), and viceversa we continue the symmetric central configurations of the spatial 5-body problem with five equal masses to the restricted (4 + 1)-body problem with four equal masses. Additionally we continue numerically the symmetric central configurations of the spatial 5-body problem with four equal masses starting with m = 1 and ending in m = +∞, improving the results of Alvarez- Ramírez et al. (Discrete Contin Dyn Syst Ser S 1: 505–518, 2008). We find four bifurcation values of m where the number of central configuration changes. We note that the central configurations of all continued families varying m from 0 to +∞ are symmetric. es
dc.format application/pdf
dc.format.extent 26 p. es
dc.language.iso eng es
dc.publisher Springer es
dc.rights Tots els drets reservats es
dc.rights (c) Springer (The original publication is available at www.springerlink.com)
dc.subject.other Matemàtica es
dc.subject.other Hiperespai es
dc.title On the central configurations in the spatial 5-body problem with four equal masses es
dc.type info:eu-repo/semantics/article es
dc.identifier.doi https://doi.org/10.1007/s10569-015-9670-z
dc.rights.accesRights info:eu-repo/semantics/openAccess es
dc.type.version info:eu-repo/submittedVersion es
dc.indexacio Indexat a WOS/JCR es
dc.indexacio Indexat a SCOPUS es

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