Counting Collisions in an $N$-Billiard System Using Angles Between Collision Subspaces
Dynamical Systems
2020-11-24 v3
Abstract
The principal angles between binary collision subspaces in an -billiard system in -dimensional Euclidean space are computed. These angles are computed for equal masses and arbitrary masses. We then provide a bound on the number of collisions in the planar 3-billiard system problem. Comparison of this result with known billiard collision bounds in lower dimensions is discussed.
Cite
@article{arxiv.1810.05777,
title = {Counting Collisions in an $N$-Billiard System Using Angles Between Collision Subspaces},
author = {Sean Gasiorek},
journal= {arXiv preprint arXiv:1810.05777},
year = {2020}
}