Thursday, November 3
Time: 4:00 p.m.
Location: 114 McAllister Building
Name: Vadim Kaloshin
Affiliation: The Pennsylvania State University and California Institute of Technology
Title: Nonlocal Arnold diffusion for the Restricted Planar Circular 3 Body Problem
Abstract: The Restricted Planar Circular 3 Body Problem (RPC3BP) is the simplest nonintegrable 3 body problem. Usually it is viewed as a model for planar either Sun-Jupiter-Asteriod or Sun-Earth-Earth Satellite system. Stability v.s. instability of such a system is one of long standing problems. We consider the first model. Using Aubry-Mather theory, Mather variational method, and numerical analysis, we managed to prove existence of rich variety of unstable motions. For example, an Asteriod could have a nearly elliptic orbit of say eccenticity 0.76 in the past and escape to infinity along nearly parabolic orbit of eccentricity more than 1. These motions could be interpreted as Arnold diffusion for this system. This is a joint work with T. Nguyen and D. Pavlov.