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

Series: 
Dynamical Systems Working Seminar
Tuesday, October 2, 2012 - 16:30
1.5 hours (actually 80 minutes)
Location: 
Skiles 06
,  
Georgia Tech
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.