Normal forms and near-axis expansions for Beltrami magnetic fields
Normal forms and near-axis expansions for Beltrami magnetic fields
A formal series transformation to Birkhoffā€“Gustavson normal form is obtained for toroidal magnetic field configurations in the neighborhood of a magnetic axis. Bishop's rotation minimizing coordinates are used to obtain a local orthogonal frame near the axis in which the metric is diagonal, even if the curvature has zeros. We ā€¦