A family of stacked central configurations in the planar five-body problem

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor.author	Lino Cornelio, J.
dc.contributor.author	Alvarez Ramírez, Martha
dc.contributor.author	Cors Iglesias, Josep Maria
dc.date	2017-11
dc.identifier.citation	Lino, J., Alvarez-Ramírez, M., Cors, J. A family of stacked central configurations in the planar five-body problem. "Celestial mechanics and dynamical astronomy", Novembre 2017, vol. 129, núm. 3, p. 321-328.
dc.identifier.citation	0923-2958
dc.identifier.citation	10.1007/s10569-017-9782-8
dc.identifier.uri	http://hdl.handle.net/2117/109271
dc.language.iso	eng
dc.relation	https://link.springer.com/article/10.1007%2Fs10569-017-9782-8
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Àrees temàtiques de la UPC::Enginyeria mecànica
dc.subject	Many-body problem
dc.subject	Celestial mechanics
dc.subject	Central configurations
dc.subject	Planar five-body problem
dc.subject	Stacked central configurations
dc.subject	Problema dels cossos múltiples
dc.subject	Mecànica celest
dc.subject	Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
dc.title	A family of stacked central configurations in the planar five-body problem
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	The final publication is available at link.springer.com via http://dx.doi.org/10.1007/s10569-017-9782-8
dc.description.abstract	We study planar central configurations of the five-body problem where three bodies, (Formula presented.) and (Formula presented.), are collinear and ordered from left to right, while the other two, (Formula presented.) and (Formula presented.), are placed symmetrically with respect to the line containing the three collinear bodies. We prove that when the collinear bodies form an Euler central configuration of the three-body problem with (Formula presented.), there exists a new family, missed by Gidea and Llibre (Celest Mech Dyn Astron 106:89–107, 2010), of stacked five-body central configuration where the segments (Formula presented.) and (Formula presented.) do not intersect.
dc.description.abstract	Peer Reviewed

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