Special Session 69: New developments in symplectic dynamics

Symplectic Dynamics and the Spatial Isosceles Three-Body Problem

Pedro A Salomao
SUSTech
Peoples Rep of China
Co-Author(s):    Xijun Hu (Shandong University), Lei Liu (Shandong University), Ywei Ou (Shandong University), Guowei Yu (Nankai University)
Abstract:
In this talk, I will discuss tools from Symplectic Dynamics that can be used to answer some questions in the spatial isosceles three-body problem. The main results are related to periodic orbits, global surfaces of section, and, more generally, transverse foliations. We focus on the dynamics of energy surfaces and explain how those objects change as the energy increases.