Abstract
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.
Degree
MS
College and Department
Physical and Mathematical Sciences; Mathematics
Rights
http://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Lam, Ammon Si-yuen, "Existence of a Periodic Brake Orbit in the Fully SymmetricPlanar Four Body Problem" (2016). Theses and Dissertations. 6103.
https://scholarsarchive.byu.edu/etd/6103
Date Submitted
2016-06-01
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd8763
Keywords
four body problem, brake orbits, binary collision, topological tools
Language
English