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.
College and Department
Physical and Mathematical Sciences; Mathematics
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.
four body problem, brake orbits, binary collision, topological tools