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Flux coordinates: Difference between revisions
→Magnetic coordinates
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\frac{B^{\theta_f}}{B^{\phi_f}} = \frac{\Psi_{pol}'}{\Psi_{tor}'} \equiv \frac{\iota}{2\pi}~, | \frac{B^{\theta_f}}{B^{\phi_f}} = \frac{\Psi_{pol}'}{\Psi_{tor}'} \equiv \frac{\iota}{2\pi}~, | ||
</math> | </math> | ||
<math>\iota</math> being the [[rotational transform]]. In a magnetic coordinate system the ''poloidal'' and ''toroidal'' components of the magnetic field are individually divergence-less. | <math>\iota</math> being the [[rotational transform]]. In a magnetic coordinate system the ''poloidal'' <math> \mathbf{B}_P = B^\theta\mathbf{e}_\theta </math> and ''toroidal'' <math> \mathbf{B}_T = B^\phi\mathbf{e}_\phi</math> components of the magnetic field are individually divergence-less. | ||
It can be easily checked that any transformation of the angles of the from | It can be easily checked that any transformation of the angles of the from | ||