Hip-hop solutions of the 2N-body problem

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/21119

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.contributor.author	Barrabés Vera, Esther
dc.contributor.author	Cors Iglesias, Josep Maria
dc.contributor.author	Pinyol Pérez, Conxita
dc.contributor.author	Soler Villanueva, Jaume
dc.date	2006-09
dc.identifier.citation	Barrabes, E. [et al.]. Hip-hop solutions of the 2N-body problem. "Celestial mechanics and dynamical astronomy", Setembre 2006, vol. 95, núm. 1-4, p. 55-66.
dc.identifier.citation	0923-2958
dc.identifier.citation	10.1007/978-1-4020-5325-2_3
dc.identifier.uri	http://hdl.handle.net/2117/21119
dc.language.iso	eng
dc.relation	http://link.springer.com/chapter/10.1007%2F978-1-4020-5325-2_3
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	Analytic continuation
dc.subject	N-body problem
dc.subject	Analytic continuation
dc.subject	Hip-hop
dc.subject	Choreographies
dc.subject	Problema dels cossos múltiples
dc.subject	Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
dc.title	Hip-hop solutions of the 2N-body problem
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	Hip–Hop solutions of the 2N–body problem with equal masses are shown to exist using an analytic continuation argument. These solutions are close to planar regular 2N–gon relative equilibria with small vertical oscillations. For ﬁxed N, an inﬁnity of these solutions are three–imensional choreographies, with all the in the inertial frame.
dc.description.abstract	Peer Reviewed

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