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Tuesday 29 Oct 2019Dynamics 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.

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