Hip-hop solutions of the 2N-body problem

Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Pinyol Pérez, Conxita; Soler Villanueva, Jaume

doi:10.1007/978-1-4020-5325-2_3

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Barrabés Vera, Esther

Cors Iglesias, Josep Maria

Pinyol Pérez, Conxita

Soler Villanueva, Jaume

Document typeArticle

Defense date2006-09

Rights accessOpen Access

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder

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.

CitationBarrabes, 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.

URIhttp://hdl.handle.net/2117/21119

DOI10.1007/978-1-4020-5325-2_3

ISSN0923-2958

Publisher versionhttp://link.springer.com/chapter/10.1007%2F978-1-4020-5325-2_3

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