Hip-hop solutions of the 2N-body problem

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 choreographie...

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Bibliographic Details
Main Authors: Barrabés Vera, Esther, Cors Iglesias, Josep Maria, Pinyol Pérez, Conxita, Soler Villanueva, Jaume
Format: Publication
Language:English
Published: 01.09.2006
Subjects:
70 Mechanics of particles and systems
70F Dynamics of a system of particles, including celestial mechanics
Analytic continuation
Choreographies
Classificació AMS
Enginyeria mecànica
Hip-hop
Many-body problem
Matemàtiques i estadística
N-body problem
Problema dels cossos múltiples
Àrees temàtiques de la UPC
ISSN:0923-2958
Online Access:Get full text
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Summary: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. Peer Reviewed
ISSN:0923-2958
DOI:10.1007/978-1-4020-5325-2_3