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Curvilinear coordinate system

Subsections

Coordinates transformation and Jacobian
Orthogonality relation
Example: ( $\psi , \theta , \zeta$ ) coordinates
Gradient and directional derivative in general coordinates $(\psi , \theta , \zeta )$
Divergence operator in general coordinates $(\psi , \theta , \zeta )$
Laplacian operator in general coordinates $(\psi , \theta , \zeta )$
Curl operator in general coordinates $(\psi , \theta , \zeta )$
Metric tensor for general coordinate system
- Special case: metric tensor for $(\psi , \theta , \phi )$ coordinate system
Covariant and contravariant representation of equilibrium magnetic field

yj 2018-03-09