A Classification of Classical Billiard Trajectories

Bijan Bagchi, Atreyee Sinha

Abstract


We examine the possible trajectories of a classical particle,
trapped in a two-dimensional infinite rectangular well, using the Hamilton-Jacobi equation. We observe that three types of trajectories are possible: periodic orbits, open orbits and some special trajectories when the particle gets pocketed.


Keywords


Hamilton Jacobi theory; Classical billiard

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DOI: http://dx.doi.org/10.26713%2Fjims.v1i1.8

eISSN 0975-5748; pISSN 0974-875X