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Flux coordinates: Difference between revisions
→Magnetic coordinates
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:<math> | :<math> | ||
\mathbf{B} = \nabla\psi\times \left( \frac{\Psi_{tor}'}{2\pi}\theta_f | \mathbf{B} = \nabla\psi\times \left( \frac{\Psi_{tor}'}{2\pi}\theta_f | ||
- \frac{\Psi_{pol}'}{2\pi}\phi_f \right)~. | - \frac{\Psi_{pol}'}{2\pi}\phi_f \right) | ||
= \frac{\Psi_{pol}'}{2\pi\sqrt{g}}\mathbf{e}_\theta + \frac{\Psi_{tor}'}{2\pi\sqrt{g}}\mathbf{e}_\phi~. | |||
</math> | </math> | ||
Now a field line is given by <math>\psi = \psi_0</math> and <math>\Psi_{tor}'\theta_f - \Psi_{pol}'\phi_f = 2\pi\nu_0</math>. | Now a field line is given by <math>\psi = \psi_0</math> and <math>\Psi_{tor}'\theta_f - \Psi_{pol}'\phi_f = 2\pi\nu_0</math>. | ||