Spatial collinear restricted four-body problem with repulsive Manev potential

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor.author	Barrabés Vera, Esther
dc.contributor.author	Cors Iglesias, Josep Maria
dc.contributor.author	Vidal Díaz, Claudio
dc.date	2017-09-01
dc.identifier.citation	Barrabés, 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.citation	0923-2958
dc.identifier.citation	10.1007/s10569-017-9771-y
dc.identifier.uri	http://hdl.handle.net/2117/108113
dc.language.iso	eng
dc.relation	https://link.springer.com/article/10.1007%2Fs10569-017-9771-y
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Celestial mechanics
dc.subject	Many-body problem
dc.subject	Orbits
dc.subject	Restricted four-body problem
dc.subject	Repulsive Manev potential
dc.subject	Equilibrium points
dc.subject	Stability
dc.subject	Mecànica celest
dc.subject	Problema dels cossos múltiples
dc.subject	Òrbites
dc.subject	Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
dc.subject	Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
dc.title	Spatial collinear restricted four-body problem with repulsive Manev potential
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	The final publication is available at Springer via http://dx.doi.org/10.1007/s10569-017-9771-y
dc.description.abstract	We 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.description.abstract	Peer Reviewed

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