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arXiv · 1408.5466

Escape distribution for an inclined billiard

Alan Roy·Nikolaos Georgakarakos
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Abstract

H${\acute{e}}$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.

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Alan Roy, Nikolaos Georgakarakos. 2014-08-23. Escape distribution for an inclined billiard. https://doi.org/10.1134/s1560354712020013

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