# Dynamic Billiards in Ellipse

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Dynamic billiards studies the motion of a small billiard ball (subject to no friction) on a pool table as it undergoes elastic collisions with the boundary (elliptical in this case). Alternatively, one can think of the path a light ray would take in the interior of a reflective boundary.

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Contributed by: Dan S. Reznik (October 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

References

[1] O. Knill. "Billiards." (Oct 18, 2011) www.dynamical-systems.org/billiard/info.html.

[2] S. Tabachnikov, *Geometry and Billiards*, Providence, R.I.: American Mathematical Society, 2005. www.math.psu.edu/tabachni/Books/billiardsgeometry.pdf.

[3] Wikipedia. "Dynamical Billiards." (Oct 18, 2011) en.wikipedia.org/wiki/Dynamical_billiards.

## Permanent Citation

"Dynamic Billiards in Ellipse"

http://demonstrations.wolfram.com/DynamicBilliardsInEllipse/

Wolfram Demonstrations Project

Published: October 20 2011