Alan Roy

Southampton, SO17 1BJ, United Kingdom
School of Electronics and Computer Science, University of Southampton


Roy A., Georgakarakos N.
Escape Distribution for an Inclined Billiard
2012, vol. 17, no. 2, pp.  113-121
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
Citation: Roy A., Georgakarakos N.,  Escape Distribution for an Inclined Billiard, Regular and Chaotic Dynamics, 2012, vol. 17, no. 2, pp. 113-121

Back to the list