Flux coordinates: Difference between revisions
→General curvilinear coordinates
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Let <math>S_\phi</math> a surface defined by a constant value of <math>\phi</math>. Then, the surface element is | Let <math>S_\phi</math> a surface defined by a constant value of <math>\phi</math>. Then, the surface element is | ||
:<math> | :<math> | ||
d{\mathbf S}_\phi = \mathbf{e}_\psi\times\mathbf{e}_\theta\d\psi d\ | d{\mathbf S}_\phi = \mathbf{e}_\psi\times\mathbf{e}_\theta d\psi d\theta | ||
</math> | |||
As for a surface defined by a constant value of <math>\theta</math>: | |||
:<math> | |||
d{\mathbf S}_\theta = \mathbf{e}_\phi\times\mathbf{e}_\psi d\psi d\phi. | |||
</math> | </math> | ||