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Escape Distribution for an Inclined Billiard
Alan Roya, Nikolaos Georgakarakosb a School of Electronics and Computer Science,
University of Southampton, Southampton, SO17 1BJ, United Kingdom
b 128 V. Olgas str., Thessaloniki 54645, Greece
Abstract:
Hénon [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.
Keywords:
chaotic scattering, inclined billiards, Hill’s problem.
Received: 24.01.2012 Accepted: 20.02.2012
Citation:
Alan Roy, Nikolaos Georgakarakos, “Escape Distribution for an Inclined Billiard”, Regul. Chaotic Dyn., 17:2 (2012), 113–121
Linking options:
https://www.mathnet.ru/eng/rcd394 https://www.mathnet.ru/eng/rcd/v17/i2/p113
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Abstract page: | 73 |
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