Symmetry reduction for central force problems
Mathematical Physics
2016-11-30 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1512.04631,
title = {Symmetry reduction for central force problems},
author = {Robert I McLachlan and Klas Modin and Olivier Verdier},
journal= {arXiv preprint arXiv:1512.04631},
year = {2016}
}