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Universität Augsburg
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Universität Augsburg
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Dr. Daniel Jaud
Gymnasium Holzkirchen
spricht am
Mittwoch, 14. August 2024
um
14:45 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
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We study the geometry of reflection of a massive point-like particle at conic section boundaries. Thereby the particle is subjected to a central force associated with either a Kepler or Hooke potential. The conic section is assumed to have a focus at the Kepler center, or have its center at the Hookian center respectively. When the particle hits the boundary it is ideally reflected according to the law of reflection. These systems are known to be integrable.
We describe the consecutive billiard orbits in terms of their foci. We show that the second foci of these orbits always lie on a circle in the Kepler case. In the Hooke case, we show that the foci of the orbits lie on a Cassini oval. For both systems we analyze the envelope of the directrices of the orbits as well. For further information, please have a look at our homepage. |
| Hierzu ergeht herzliche Einladung. |
| PD Dr. Lei Zhao |