  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.
