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Hip-hop solutions of the 2N-body problem

Autor
Barrabés, E.; Cors, J.; Pinyol, C.; Soler, J.
Tipus d'activitat
Article en revista
Revista
Celestial mechanics and dynamical astronomy
Data de publicació
2006-09
Volum
95
Número
1-4
Pàgina inicial
55
Pàgina final
66
DOI
https://doi.org/10.1007/978-1-4020-5325-2_3 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/21119 Obrir en finestra nova
URL
http://link.springer.com/chapter/10.1007%2F978-1-4020-5325-2_3 Obrir en finestra nova
Resum
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-dimensional choreographies, with all the bodies moving along the same closed curve in the inertial frame. Hip–Hop solutions of the 2N–body problem with equal masses are shown to exist using an analytic continuation arg...
Citació
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.
Paraules clau
Analytic continuation, Choreographies, Hip-hop, N-body problem

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