Special Session 25: 

Variational proof of the existence of brake orbits in the 2-center problem

Yuika Kajihara
Kyoto University
Japan
Co-Author(s):    
Abstract:
The 2-center problem is an integrable Hamiltonian system. The first integrals are complicated functions and it is difficult to know what kind of periodic orbits exist. Brake orbits are simple periodic orbits with symmetry. In this talk, we prove the existence of brake orbits in the 2-center problem by using the variational method.