Abstract
The properties of the billiard vary with the energy E of the bouncing ball. These are explored through the surface of section. The billiard is almost integrable for very small or very large values of E. It looks ergodic in a range of values of E. The main families of periodic orbits are shown.
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© 1994 Springer-Verlag
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Hayli, A., Vidović, A. (1994). Numerical exploration of the circular billiard with gravity. In: Gurzadyan, V.G., Pfenniger, D. (eds) Ergodic Concepts in Stellar Dynamics. Lecture Notes in Physics, vol 430. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058092
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DOI: https://doi.org/10.1007/BFb0058092
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