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math.DS2019★ 1 cited
Symmetry reduction of the 3-body problem in
Holger R. Dullin, Jürgen Scheurle
The 3-body problem in has 24 dimensions and is invariant under translations and rotations. We do the full symplectic symmetry reduction and obtain a reduced Hamilton…
math.DS2017
A "barbell" in a central force field: A case study in symmetry reduction
Jürgen Scheurle, Sebastian Walcher
We present an application of a recently introduced variant of orbit space reduction for symmetric dynamical systems. This variant works with suitable localizations of the algebra o…
math.DS2013★ 3 cited
Motion in a symmetric potential on the hyperbolic plane
Manuele Santoprete, Jürgen Scheurle, Sebastian Walcher
We study the motion of a particle in the hyperbolic plane (embedded in Minkowski space), under the action of a potential that depends only on one variable. This problem is the anal…