A classification of classical billiard trajectories
Classical Physics
2009-08-22 v2
Abstract
We examine the possible trajectories of a classical particle, trapped in a two-dimensional infinite rectangular well, using the Hamilton-Jacobi equation. We observe that three types of trajectories are possible: periodic orbits, open orbits and some special trajectories when the particle gets pocketed.
Cite
@article{arxiv.0907.4892,
title = {A classification of classical billiard trajectories},
author = {Bijan Bagchi and Atreyee Sinha},
journal= {arXiv preprint arXiv:0907.4892},
year = {2009}
}
Comments
12 pages, 4 figures