James Montaldi - The 2-body problem on surfaces of constant curvature
|Starts:||14:30 24 Oct 2019|
|Ends:||15:30 24 Oct 2019|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, External researchers, Current University students|
James Montaldi joins us for the Geometry, Topology and Mathematicals Physics Seminar.
By reducing to the centre of mass frame, the 2-body problem in the plane reduces to the Kepler problem (1 body in a central force). On a curved surface, there is no useful centre of mass frame, and the 2-body problem does not reduce to such a simpler system. In this talk I will describe the process of reduction one can do, and the relative equilibria of this system of 2 bodies on surfaces of constant curvature. I will also describe how the relative equilibria for positive curvature and for negative curvature fit into a family through zero curvature (spherical/planar/hyperbolic geometries).
This is joint work with A. Borisov, I. Mamaev, and in particular Luis García-Naranjo.
Travel and Contact Information
Frank Adams Room 1
Alan Turing Building