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2011.65: The Two Ball Newton's Cradle

2011.65: Paul Glendinning (2011) The Two Ball Newton's Cradle.

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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
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CICADA

Subjects:PACS 2003 > 45 Classical mechanics of discrete systems
MIMS number:2011.65
Deposited By:Professor Paul Glendinning
Deposited On:28 July 2011

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