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Flux coordinates: Difference between revisions
→Some surface elements
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As for a surface defined by a constant value of <math>\theta</math>: | As for a surface defined by a constant value of <math>\theta</math>: | ||
:<math> | :<math> | ||
d{\mathbf S}_\theta = \mathbf{e}_\phi\times\mathbf{e}_\psi d\psi d\phi = \sqrt{g}\, \nabla\theta d\psi d\phi . | d{\mathbf S}_\theta = \mathbf{e}_\phi\times\mathbf{e}_\psi d\psi d\phi = \sqrt{g}\, \nabla\theta d\psi d\phi , | ||
</math> | |||
or a constant <math>\psi</math> surface: | |||
:<math> | |||
d{\mathbf S}_\psi = \mathbf{e}_\theta\times\mathbf{e}_\phi d\theta d\phi = \sqrt{g}\, \nabla\psi d\theta d\phi . | |||
</math> | </math> | ||