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Toroidal coordinates: Difference between revisions
→Contravariant From
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+ \tilde{\nu}(\psi,\theta,\phi) | + \tilde{\nu}(\psi,\theta,\phi) | ||
</math> | </math> | ||
where <math>\tilde{\nu}</math> is a differentiable function periodic in the two angles. This general form can be derived by using the fact that <math> \mathbf{B}</math> is a physical function (hence singe-valued). The specific form for the coefficients in front of the secular terms (i.e. the non-periodic terms) can be obtained from the [[Useful properties of FSA|FSA properties ]]. | where <math>\tilde{\nu}</math> is a differentiable function periodic in the two angles. This general form can be derived by using the fact that <math> \mathbf{B}</math> is a physical function (hence singe-valued). The specific form for the coefficients in front of the secular terms (i.e. the non-periodic terms) can be obtained from the [[Toroidal coordinates#Useful properties of FSA|FSA properties ]]. | ||
==== Covariant Form ==== | ==== Covariant Form ==== | ||