Symmetry reduction for central force problems
Preprint, 2015

We given an elementary illustration of symmetry reduction for central force problems, drawing phase portraits of the reduced dynamics as the intersection of Casimir and energy level sets in three dimensions. These systems form a classic example of symplectic reduction which can usefully be compared to the more-commonly seen case of the free rigid body.

Författare

Robert McLachlan

Klas Modin

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Olivier Verdier

Fundament

Grundläggande vetenskaper

Ämneskategorier

Geometri

Annan fysik

Mer information

Skapat

2017-10-07