Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Differentialgeometrie


Dr. Daniel Jaud
Staatliches Gymnasium Holzkirchen

spricht am
Montag, 22. Mai 2023
16 Uhr s.t.
2004/L1 und Zoom (hybride Veranstaltung)
über das Thema:

»Gravitational billiards in two and three dimensions - foci curves and confined domains«

We consider a point-like massive particle under the influence of a constant gravitational force propagating in some domain associated with an ideally reflecting mirror. Describing the flight trajectory of the particle in focus form we show that the associated foci, for consecutive reflections of the particle along the mirror boundary, lie on a common curve depending on the mirror geometry. Taking advantage of these so called foci curves we derive the confined propagation domains in the non-periodic orbit case for general 2D mirrors and in 3D for a paraboloid mirror surface.

If you want to take part via Zoom please ask PD Dr. Lei Zhao for­ login details:


Hierzu ergeht herzliche Einladung.
PD Dr. Lei Zhao

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).

[Impressum]      [Datenschutz],     Mo 24-Apr-2023 10:22:28 MESZ