0
2013
Impact Factor

# Alan Roy

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

## Publications:

 Roy A., Georgakarakos N. Escape Distribution for an Inclined Billiard 2012, vol. 17, no. 2, pp.  113-121 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 Citation: Roy A., Georgakarakos N.,  Escape Distribution for an Inclined Billiard, Regular and Chaotic Dynamics, 2012, vol. 17, no. 2, pp. 113-121 DOI:10.1134/S1560354712020013