Faithful guiding-center orbits in an axisymmetric magnetic field
Abstract
The problem of the charged-particle motion in an axisymmetric magnetic geometry is used to assess the validity of higher-order Hamiltonian guiding-center theory, which includes higher-order corrections associated with gyrogauge invariance as well as guiding-center polarization induced by magnetic-field non-uniformity. Two axisymmetric magnetic geometries are considered: a magnetic mirror geometry and a simple tokamak geometry. When a magnetically-confined charged-particle orbit is regular (i.e., its guiding-center magnetic moment is adiabatically invariant), the guiding-center approximation, which conserves both energy and azimuthal canonical angular momentum, is shown to be faithful to the particle orbit when higher-order corrections are taken into account.
Keywords
Cite
@article{arxiv.2302.01166,
title = {Faithful guiding-center orbits in an axisymmetric magnetic field},
author = {Alain J. Brizard and Brook C. Hodgeman},
journal= {arXiv preprint arXiv:2302.01166},
year = {2023}
}
Comments
13 pages, 10 figures