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arXiv · 1810.05777

Counting Collisions in an $N$-Billiard System Using Angles Between Collision Subspaces

Sean Gasiorek
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Abstract

The principal angles between binary collision subspaces in an $N$-billiard system in $d$-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.

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Sean Gasiorek. 2018-10-13. Counting Collisions in an $N$-Billiard System Using Angles Between Collision Subspaces. https://doi.org/10.3842/sigma.2020.119

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