The 2-body problem on surfaces of constant non-zero curvature

James Montaldi, University of Manchester. Part of the applied mathematics Leeds applied nonlinear dynamics seminars series.

I will describe a global reduction of the symmetries of this non-integrable problem and discuss the reduced dynamics, and in particular the relative equilibria and their stabilities.  Joint work with A.Borisov, L.García-Naranjo and I.Mamaev