Existence of a Periodic Brake Orbit in the Fully SymmetricPlanar Four Body Problem

We investigate the existence of a symmetric singular periodic brake orbit in the equal mass, fully symmetric planar four body problem. Using regularized coordinates, we remove the singularity of binary collision for each symmetric pair. We use topological and symmetry tools in our investigation.

Bibliographic Details
Main Author: Lam, Ammon Si-yuen
Format: Others
Published: BYU ScholarsArchive 2016
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/6103
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=7102&context=etd