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James Montaldi - The 2-body problem on surfaces of constant curvature

Dates:24 October 2019
Times:14:30 - 15:30
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
Speaker:James Montaldi
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  • In category "Seminar"
  • In group "(Maths) Maths seminar series"
  • In group "(Maths) Geometry, topology and mathematical physics"
  • By Department of Mathematics

James Montaldi joins us for the Geometry, Topology and Mathematicals Physics Seminar.

Abstract:

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 GarcĂ­a-Naranjo.

Speaker

James Montaldi

Travel and Contact Information

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Frank Adams Room 1
Alan Turing Building
Manchester

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Theodore Voronov

theodore.voronov@manchester.ac.uk

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