Escape distribution for an inclined billiard
Escape distribution for an inclined billiard
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.
Chaotic dynamics, Henon, Gravitational Three-body problem, Hills problem
Roy, Alan
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Georgakarakos, Nikolaos
c2a90806-f063-4e66-b549-6cc8b5c5285c
2012
Roy, Alan
a396020d-d7f4-4678-bd31-72a2642b7702
Georgakarakos, Nikolaos
c2a90806-f063-4e66-b549-6cc8b5c5285c
Roy, Alan and Georgakarakos, Nikolaos
(2012)
Escape distribution for an inclined billiard.
Regular and Chaotic Dynamics, 17 (2).
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.
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Published date: 2012
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
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Local EPrints ID: 273235
URI: http://eprints.soton.ac.uk/id/eprint/273235
PURE UUID: bb6a182b-a45f-42c7-a6cd-be0101885406
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Date deposited: 26 Feb 2012 16:06
Last modified: 14 Mar 2024 10:22
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Author:
Alan Roy
Author:
Nikolaos Georgakarakos
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