Dynamics, Geometry, & Groups - Alessandro Portaluri (U of Torino)
Friday, March 22nd, 2019
Time: 10:30 a.m Place: Jeffery Hall 102
Speaker: Alessandro Portaluri (University of Torino, Italy)
Title: Visiting Kepler with a couple of symplectic friends.
Abstract: Starting from the classical planar Kepler problem, by using the conservation law of the angular momentum, we reduce the problem to a one degree of freedom singular problem. Thanks to this reduction and after a suitable time scaling we show that, for negative energy, the orbit is an ellipse. Finally, by using a refined version of the Conley-Zehnder intersection index , we give a homotopic classification of all bounded motions.