Loading...
Loading...

Go to the content (press return)

Hip-hop solutions of the 2N-body problem

Author
Barrabés, E.; Cors, J.; Pinyol, C.; Soler, J.
Type of activity
Presentation of work at congresses
Name of edition
CELMEC IV Meeting on Celestial Mechanics
Date of publication
2005
Presentation's date
2005-09-15
Book of congress proceedings
Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: theory and applications: selected papers from the Fourth Meeting on Celestial Mechanics, CELMEC IV
First page
55
Last page
66
DOI
https://doi.org/10.1007/978-1-4020-5325-2_3 Open in new window
URL
http://link.springer.com/chapter/10.1007/978-1-4020-5325-2_3 Open in new window
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-dimensional choreographies, with all the bodies moving along the same closed curve in the inertial frame.
Keywords
Analytic continuation, Choreographies, Hip-hop, N-body problem

Participants