Counting Collisions in an $N$-Billiard System Using Angles Between Collision Subspaces
| Autor: | Gasiorek, Sean |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | SIGMA 16 (2020), 119, 13 pages |
| Druh dokumentu: | Working Paper |
| DOI: | 10.3842/SIGMA.2020.119 |
| Popis: | 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. |
| Databáze: | arXiv |
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