Hip-hop solutions of the 2N-body problem

Details Hip-hop solutions of the 2N-body problem Hip-hop solutions of the 2N-body problem

May 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cemda..95...55b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 95, Issue 1-4, pp. 55-66

Astronomy and Astrophysics

Astronomy

2

Scientific paper

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.

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