| Abstract: |
| In this talk I will review some recent works in the latest years concerning integrable Kepler billiards in the plane and some of their very nice geometrical properties. Some of these geometrical properties allow us to draw a direct link between their dynamics and the Poncelet porism, which in turn allows us to have a a relatively easy analysis of their dynamics in terms of elliptic curves. We shall work out an example of an integrable Kepler billiard system inside an ellipse in the plane with negative energy. |
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