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Magnetic surface coordinates $(\psi , \theta , \zeta ) \ensuremath {\operatorname {with}}$ general toroidal angle $\zeta$

Subsections

Definition of the general toroidal angle $\zeta$
Contravariant form of magnetic field in $(\psi , \theta , \zeta )$ coordinates
Relation between the partial derivatives in $(\psi , \theta , \phi )$ and $(\psi , \theta , \zeta )$ coordinates
Steps to construct a straight-line flux coordinate system
Form of operator $B \cdot \nabla$ in $(\psi , \theta , \zeta )$ coordinates
Resonant surface of a perturbation
Poloidal angle used in tearing mode theory
Covariant form of magnetic field in $(\psi , \theta , \zeta )$ coordinate system
Form of operator $(B \times \nabla \psi / B^2) \cdot \nabla$ in $(\psi , \theta , \zeta )$ coordinates
Radial differential operator

yj 2018-03-09