Glendinning, Paul (2011) The Two Ball Newton's Cradle. [MIMS Preprint]
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Abstract
Newton's cradle for two balls with Hertzian interactions is considered as a hybrid system, and this makes it possible to derive return maps for the motion between collisions in an exact form despite the fact that the three halves interaction law cannot be solved in closed form. The return maps depend on a constant whose value can only be determined numerically, but solutions can be written down explicitly in terms of this parameter, and we compare this with the results of simulations. The results are in fact independent of the details of the interaction potential.
| Item Type: | MIMS Preprint |
|---|---|
| Additional Information: | CICADA |
| Subjects: | PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 40 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS > 45 Classical mechanics of discrete systems |
| Depositing User: | Professor Paul Glendinning |
| Date Deposited: | 28 Jul 2011 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1656 |
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