A Force-Free Magnetic Field Solution in Cyclidal Coordinates
General Physics
2023-10-30 v1
Abstract
There are no known analytic solutions to the force-free magnetic field equations in coordinates representing Dupin cyclides. The fact that the curvature lines of Dupin cyclides are all circles is used here to derive a force-free magnetic field on the surface of an elliptic Dupin cyclide.
Cite
@article{arxiv.2310.17673,
title = {A Force-Free Magnetic Field Solution in Cyclidal Coordinates},
author = {Gerald E. Marsh},
journal= {arXiv preprint arXiv:2310.17673},
year = {2023}
}
Comments
19 pages, 9 figures. Followon to arXiv 2305.15455