Dubeau, François (2022) Collisions, or Reflections and Rotations, Leading to the Digits of π. Applied Mathematics, 13 (09). pp. 705-732. ISSN 2152-7385
![[thumbnail of am_2022090114432562.pdf]](http://research.manuscritpub.com/style/images/fileicons/text.png)
Text
am_2022090114432562.pdf - Published Version
Download (1MB)
Official URL: https://doi.org/10.4236/am.2022.139044
Abstract
We analyze a problem of elastic collisions between elements of a system composed of two balls and a wall. Thanks to a change of variables, the problem is reduced to a sequence of reflections and rotations. Moreover, the total number of collisions is easily found. For specific ratios of ball weights, the number of collisions is related to the first successive digits of π.
| Item Type: | Article |
|---|---|
| Subjects: | Science Repository > Mathematical Science |
| Depositing User: | Managing Editor |
| Date Deposited: | 17 Jan 2023 06:10 |
| Last Modified: | 18 Mar 2024 03:39 |
| URI: | http://research.manuscritpub.com/id/eprint/839 |
Actions (login required)
- View Item