Display Abstract

Title Transition chains of invariant tori around $L_1$ in the Sun-Earth system

Name Pablo Roldan
Country USA
Email pablo.roldan@upc.edu
Co-Author(s) Marian Gidea and Amadeu Delshams
Submit Time 2014-02-27 10:10:14
Session
Special Session 82: Celestial mechanics
Contents
We consider the spatial Restricted Three-Body Problem modelling the Sun-Earth system. We focus on the center manifold $W^c(L_1)$ of the collinear equilibrium point $L_1$, with linear type center $\times$ center $\times$ saddle. We present a systematic numerical exploration of heteroclinic connections between different invariant tori in the center manifold $W^c(L_1)$. The results show that, as energy increases, there exist longer transition chains of tori. For high enough energy, there exist transition chains linking almost all tori in the energy manifold.