Towards the proof of diffusion in the Jupiter-Sun restricted three body problem (second, final part)

Series: 
Dynamical Systems Working Seminar
Tuesday, October 9, 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. In this second, and final part of the talk, we discuss how to prove transversal intersections of invariant manifolds in the circular problem and how these lead to diffusion in the elliptic problem.