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A new parameterization for an inclined billiard initially discussed by Hénon is presented. This parameterization expresses the time evolution of the scattering system by a family of pruned baker transformations. This allows to make contact with recent work on these mappings. As an applica­tion, the topological entropy is analytically derived in a very good approximation and it is indicated how to systematically improve the result. The result which contains no free parameter, agrees excellently with numerical data for the whole parameter range from strongly chaotic scattering described by a complete symbolic dynamics to a bounded system with trivial scattering behavior. 05.45. + b, 03.20. + i, 05.90. + m

The Topological Entropy for an Inclined Billiard in a Gravitational Field