EVENT DETAILS AND ABSTRACT

Title: Global secular dynamics in the planar three-body problem
Speaker: Professor Jacques Fejoz
Speaker Info: Northwestern
Brief Description:
Special Note:
Abstract:

The dynamics of the three-body problem in classical mechanics can be split into two parts: a fast, Keplerian dynamics, which describes the motion of the bodies along three ellipses as if each body underwent the attraction of only one fictitious center of attraction; and a slow, secular dynamics, which describes the deformations of these Keplerian ellipses, due to the fact that each body actually undergoes the attraction of the other two. I will show how to study this secular dynamics by building the so-called secular systems and applying some sophisticated version of KAM theorem.