Symmetry reduction for central force problems
Journal article, 2016

We give 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.

Physics

central force problems

symplectic reduction

Education & Educational Research

Hamiltonian systems

geometrie differentielle

lie

Author

R. I. McLachlan

Massey University

Klas Modin

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Olivier Verdier

Hogskolen i Bergen

European Journal of Physics

0143-0807 (ISSN)

Vol. 37 5

Subject Categories

Mathematics

Physical Sciences

Roots

Basic sciences

DOI

10.1088/0143-0807/37/5/055003

More information

Created

10/8/2017