Towards the proof of diffusion in the Jupiter-Sun restricted three body problem.

Series
Dynamical Systems Working Seminar
Time
Tuesday, October 2, 2012 - 4:30pm for 1.5 hours (actually 80 minutes)
Location
Skiles 06
Speaker
Maciej Capinski – Georgia Tech
Organizer
Maciej Capinski
In the talk we will present a mechanism of diffusion in the Planar Circular Restricted Three Body Problem. The mechanism is similar to the one that appeared in the celebrated work of V. I. Arnold [Dokl. Akad. Nauk SSSR 156 (1964), 9–12]. Arnold conjectured that this phenomenon, usually called Arnold diffusion, appears in the three body problem. The presented method is a step towards a proof of the conjecture.