Colloquium Mathematics, Holger Dullin

Join us for coffee and tea at 15.45 p.m.

Date: Tuesday, December 6^th 2011

Speaker: Holger Dullin
University of Sydney

Room: 5161.0267 (Bernoulliborg),

Time: 16.15

Title: A Lie-Poisson structure and integrator for the reduced N-body problem

Abstract:

The general N-body problem is invariant under the symmetry group of translations, rotations, and Galilein boosts. The Hilber-Weyl invariants of this symmetry group can be represented by symmetric block-Laplacian matrices and we show that they satisfy a Lie-Poisson structure. Using this Lie-Poisson structure we construct a splitting integrator for the symmetry reduced N-body problem. For small N=3,4 this gives an efficient computational method, which is illustrated by computing the figure-8 choreography orbit in 3 steps.

Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and

Dr. A.V. Kiselev (e-mail: a.v.kiselev@rug.nl)