Amadeu Delshams (UPC): Global instability in the elliptic restricted three body problem using two scattering maps

The goal of this talk is to show the existence of global
instability in the elliptic restricted three body problem. The main
tool is to combine two different scattering maps associated to the
normally parabolic infinity manifold to build trajectories whose
angular momentum increases arbitrarily. The computation of such
scattering maps will rely heavily on the seminal computations for the
circular case initiated first in Jaume Llibre's thesis and finished
later on by Llibre and Simo [LlibreS80], which were extended to the
elliptic case by Martinez and Pinyol [MartinezP94].
This is a work in progress with Vadim Kaloshin, Abraham de la Rosa and
Tere M. Seara.

[LlibreS80] Llibre, Jaume; Simo, Carlos,
Oscillatory solutions in the planar restricted three-body problem.
Math. Ann. 248 (1980), no. 2, 153-184.

[MartinezP94] Martinez, Regina; Pinyol, Conxita,
Parabolic orbits in the elliptic restricted three body problem.
J. Differential Equations 111 (1994), no. 2, 299-339.