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

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2020
• Автор: Gasiorek, Sean
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2020
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211001
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Counting Collisions in an -Billiard System Using Angles Between Collision Subspaces. Sean Gasiorek. SIGMA 16 (2020), 119, 13 pages

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 thi...