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Arnolʹd diffusion

Wednesday, February 12, 2014 - 2:00pm - 2:50pm
Marian Gidea (Yeshiva University)
We present two models for Arnold diffusion in the three-body problem. The first model is the spatial circular restricted three-body problem. We show that, on some fixed energy level, there exist trajectories near one of the libration points whose out-of-plane amplitude of motion changes from nearly zero to nearly the maximum value for that energy level. The second model is the planar elliptic restricted three-body problem, with the eccentricity of the binary regarded as a perturbation parameter.
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