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dc.contributor.authorBarrabés Vera, Esther
dc.contributor.authorCors Iglesias, Josep Maria
dc.contributor.authorFernandes, Antonio Carlos
dc.contributor.authorVidal Díaz, Claudio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2021-11-10T11:33:13Z
dc.date.available2022-08-01T00:29:49Z
dc.date.issued2021-07-10
dc.identifier.citationBarrabés, E. [et al.]. Convexity and symmetry of central configurations in the five-body problem: Lagrange plus two. "Qualitative theory of dynamical systems", 10 Juliol 2021, vol. 20, núm. 3, p. 63: 1-63: 19.
dc.identifier.issn1575-5460
dc.identifier.otherhttp://hdl.handle.net/10256/19707
dc.identifier.urihttp://hdl.handle.net/2117/355962
dc.description.abstractWe study convexity and symmetry of central configurations in the five body problem when three of the masses ara located at the vertices of an equilateral triangle, that we call Lagrange plus two central configurations. First, we prove that the two bodies out of the vertices of the triangle cannot be placed on certain lines. Next, we give a geometrical characterization of such configurations in the sense as that of Dziobek, and we describe the admissible regions where the two remaining bodies can be placed. Furthermore, we prove that any Lagrange plus two central configuration is concave. Finally, we show numerically the existence of non-symmetric central configurations of the five body problem.
dc.description.sponsorshipFirst and second authors are supported by MINECO grants MTM2016-80117-P and MTM2016-77278-P (FEDER) and Catalan (AGAUR) grants 2017 SGR 1374 and SGR 1617. The third author is partially supported Convenio Marco UBB1755/2016-2020 No 84, FAPEMIG APQ-03149-18 and CNPq 433285/2018-4. The fourth author is partially supported by Math Amsud-Conicyt 17-Math-07 and Fondecyt 1180288.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Enginyeria mecànica
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshMany-body problem
dc.subject.lcshConfigurations
dc.subject.lcshLagrange problem
dc.titleConvexity and symmetry of central configurations in the five-body problem: Lagrange plus two
dc.typeArticle
dc.subject.lemacProblema dels cossos múltiples
dc.contributor.groupUniversitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
dc.identifier.doi10.1007/s12346-021-00504-7
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs12346-021-00504-7
dc.rights.accessOpen Access
local.identifier.drac32026985
dc.description.versionPostprint (author's final draft)
local.citation.authorBarrabés, E.; Cors, J.; Fernandes, A.; Vidal, C.
local.citation.publicationNameQualitative theory of dynamical systems
local.citation.volume20
local.citation.number3
local.citation.startingPage63: 1
local.citation.endingPage63: 19


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