Special Session 72: 

Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem

Yuika Kajihara
Kyoto University
Japan
Co-Author(s):    Mitsuru Shibayama
Abstract:
Our purpose is to show the existence periodic orbits in the planar circular restricted three body problem. The restricted three-body problem is an important subject that deals with significant issues referring to scientific fields of celestial mechanics, such as analyzing asteroid movement behavior and orbit designing for space probes. To find these orbits, we use variational approach and symmetry.