Special Session 106: 

Oscillatory orbits in the Restricted Planar 4 Body Problem

Tere M-Seara
Universitat Politecnica de Catalunya
Spain
Co-Author(s):    Jianlu Zhang
Abstract:
The restricted planar four body problem describes the motion of a massless body under the Newtonian gravitational force of other three bodies (the primaries). The motion of the primaries follows the law of the general three body problem. A trajectory is called oscillatory if it goes arbitrarily far away but returns infinitely many times to the same bounded region. In this talk we prove the existence of such type of trajectories provided the primaries evolve in suitable periodic orbits.