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Hamada coordinates: Difference between revisions
→Form of the Jacobian for Hamada coordinates
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- \mathbf{B}\cdot\nabla\tilde{\eta} = p'~. | - \mathbf{B}\cdot\nabla\tilde{\eta} = p'~. | ||
</math> | </math> | ||
Taking the [[Flux coordinates#flux surface average|flux surface average]] <math>\langle\cdot\rangle</math> of this equation we find the MHD equilibrium equation | Taking the [[Flux coordinates#flux surface average|flux surface average]] <math>\langle\cdot\rangle</math> of this equation we find a synthetic version of the MHD equilibrium equation | ||
:<math>(-{I}'_{tor}{\Psi}'_{pol} + {I}'_{pol}{\Psi}'_{tor})= 4\pi^2{p}'\langle(\sqrt{g_f})^{-1}\rangle^{-1} = p'V'~. | :<math>(-{I}'_{tor}{\Psi}'_{pol} + {I}'_{pol}{\Psi}'_{tor})= 4\pi^2{p}'\langle(\sqrt{g_f})^{-1}\rangle^{-1} = p'V'~. | ||
</math> | </math> | ||