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Abstract |
In a system of particles, Almost -collision orbits are collisionless orbits along which two bodies become arbitrarily close to each other-the lower limit of their distance is zero but the upper limit is strictly positive. The existence of such orbits was shown in the restricted planar circular three-body problem by A. Chenciner and J. Llibre, and later, in the planar three-body problem by J. Féjoz. In the spatial three-body problem, the existence of a set of positive measure of such orbits was predicted by C. Marchal. In this talk, I shall present a proof of Marchal's prediction. |
