|Description||2017 Fall Graduate Colloquium Series|
Inelastic Gravitational Billiards
Theoretical and experimental investigation of gravitational billiards where the particle undergoes inelastic collisions with its boundary are presented. The motion is mapped for an inelastic particle contained within parabolic, wedge,and hyperbolic boundaries. For the parabola, stable orbits are found and the
wedge demonstrates a characteristic instability for its vertex angle. In the instance of the hyperbola, there are several features of the dynamics similar to the parabola at low driving and the wedge for higher driving. However, the low
driving case for a hyperbola can only be completely understood by considering
inelasticity effects predicted by a numerical simulation and the observation that the velocity dependent inelasticity allows the particle to sample several nearby trajectories for fixed driving.
S. Feldt and J. S. Olafsen, Inelastic Gravitational Billiards, Phys. Rev. Lett. 94, 224102 (2005);
M. L. Ferguson, Bruce N. Miller, Dynamics of a gravitational billiard with a hyperbolic lower
boundary, Chaos: An Interdisciplinary Journal of Nonlinear Science 9, 841 (1999).
For more information contact: Dr. Ken Hatakeyama