Escape distribution for an inclined billiard

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.

This is a preprint of a paper published in 'Regular and Chaotic Dynamics' in 2012

References in corpus (2)

• Evidence for Planet-Planet Scattering in Upsilon Andromedae
• Formation of Kuiper-belt binaries through multiple chaotic scattering encounters with low-mass intruders