Hip–Hop solutions of the 2N–Body problem
نویسندگان
چکیده
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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