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dc.contributor.authorBarrabés Vera, Esther
dc.contributor.authorCors Iglesias, Josep Maria
dc.contributor.authorVidal Díaz, Claudio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2017-09-28T17:02:37Z
dc.date.available2018-10-02T00:30:41Z
dc.date.issued2017-09-01
dc.identifier.citationBarrabés, E., Cors, J., Vidal, C. Spatial collinear restricted four-body problem with repulsive Manev potential. "Celestial mechanics and dynamical astronomy", 1 Setembre 2017, vol. 129, núm. 1-2, p. 153-176.
dc.identifier.issn0923-2958
dc.identifier.urihttp://hdl.handle.net/2117/108113
dc.descriptionThe final publication is available at Springer via http://dx.doi.org/10.1007/s10569-017-9771-y
dc.description.abstractWe outline some aspects of the dynamics of an infinitesimal mass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential (-1/r+e/r2-1/r+e/r2), e>0e>0, is applied to the central mass. We investigate the relative equilibria of the infinitesimal mass and their linear stability as a function of the mass parameter ßß, the ratio of mass of the central body to the mass of one of two remaining bodies, and e. We also prove the nonexistence of binary collisions between the central body and the infinitesimal mass.
dc.format.extent24 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshCelestial mechanics
dc.subject.lcshMany-body problem
dc.subject.lcshOrbits
dc.subject.otherRestricted four-body problem
dc.subject.otherRepulsive Manev potential
dc.subject.otherEquilibrium points
dc.subject.otherStability
dc.titleSpatial collinear restricted four-body problem with repulsive Manev potential
dc.typeArticle
dc.subject.lemacMecànica celest
dc.subject.lemacProblema dels cossos múltiples
dc.subject.lemacÒrbites
dc.identifier.doi10.1007/s10569-017-9771-y
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.subject.amsClassificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs10569-017-9771-y
dc.rights.accessOpen Access
local.identifier.drac21495070
dc.description.versionPostprint (published version)
local.citation.authorBarrabés, E.; Cors, J.; Vidal, C.
local.citation.publicationNameCelestial mechanics and dynamical astronomy
local.citation.volume129
local.citation.number1-2
local.citation.startingPage153
local.citation.endingPage176


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