TY - MGZN
AU - Barrabés, E.
AU - Cors, J.
AU - Pinyol, C.
AU - Soler, J.
T2 - Celestial mechanics and dynamical astronomy
Y1 - 2006
VL - 95
IS - 1-4
SP - 55
EP - 66
DO - 10.1007/978-1-4020-5325-2_3
UR - http://link.springer.com/chapter/10.1007%2F978-1-4020-5325-2_3
AB - 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.
AB - 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.
TI - Hip-hop solutions of the 2N-body problem
ER -