Tuesday 29 Oct 2019: Dynamics Seminar: The 2-body problem on surfaces of constant curvature
James Montaldi - University of Manchester
Harrison 103 13:30-15:30
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 a simpler system. In this talk I will describe the relative equilibria of this system of 2 bodies on surfaces of constant curvature, both for fixed curvature, and as a family using the curvature as a parameter. This is joint work with A. Borisov, I. Mamaev, and in particular Luis García-Naranjo.