Escape distribution for an inclined billiard
Roy, Alan and Georgakarakos, Nikolaos (2012) Escape distribution for an inclined billiard. Regular and Chaotic Dynamics, 17, (2)
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Description/Abstract
He ́non [8] used an inclined billiard to investigate aspects of chaotic scattering which occur in satellite encounters and in other situations. His model consisted of a piecewise mapping which described the motion of a point particle bouncing elastically on two disks. A one parameter family of orbits, named h-orbits, was obtained by starting the particle at rest from a given height. We obtain an analytical expression for the escape distribution of the h-orbits, which is also compared with results from numerical simulations. Finally, some discussion is made about possible applications of the h-orbits in connection with Hill’s problem.
| Item Type: | Article |
|---|---|
| Additional Information: | AR gratefully acknowledges the help of Prof Jan Sykulski in supporting his research visitor status at the University of Southampton |
| Keywords: | Chaotic dynamics, Henon, Gravitational Three-body problem, Hills problem |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > EEE |
| Item ID: | 273235 |
| Date Deposited: | 26 Feb 2012 16:06 |
| Last Modified: | 25 Aug 2012 23:41 |
| Contributors: | Roy, Alan (Author) Georgakarakos, Nikolaos (Author) |
| Date: | 2012 |
| Additional Information: | AR gratefully acknowledges the help of Prof Jan Sykulski in supporting his research visitor status at the University of Southampton |
| Status: | Published |
| Publisher: | Springer |
| Contact Email Address: | A.A.Roy@soton.ac.uk |
| Further Information: | Google Scholar |
| ISI Citation Count: | 0 |
| URI: | http://eprints.soton.ac.uk/id/eprint/273235 |
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