Hip-hop solutions of the 2N-body problem

All of RECERCAT

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

Title:	Hip-hop solutions of the 2N-body problem
Author:	Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Pinyol Pérez, Conxita; Soler Villanueva, Jaume
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
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.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Àrees temàtiques de la UPC::Enginyeria mecànica -Many-body problem -Analytic continuation -N-body problem -Analytic continuation -Hip-hop -Choreographies -Problema dels cossos múltiples -Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Rights:
Document type:	Article - Submitted version Article
Share: