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Toroidal coordinates: Difference between revisions
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== Magnetic == | == Magnetic == | ||
All of the above coordinate systems are ''fixed''. | All of the above coordinate systems are ''fixed'' and ''axisymmetric'' (except the Cartesian system). | ||
By contrast, magnetic coordinates ''adapt'' to the magnetic field, and therefore to the [[MHD equilibrium]] (also see [[Flux surface]]). Magnetic coordinates simplify the description of the magnetic field. | By contrast, magnetic coordinates ''adapt'' to the magnetic field, and therefore to the [[MHD equilibrium]] (also see [[Flux surface]]). Magnetic coordinates simplify the description of the magnetic field. | ||
* Hamada coordinates. <ref>S. Hamada, Nucl. Fusion '''2''' (1962) 23</ref><ref>[http://dx.doi.org/10.1063/1.1706651 J.M. Greene and J.L Johnson, ''Stability Criterion for Arbitrary Hydromagnetic Equilibria'', Phys. Fluids '''5''' (1962) 510]</ref> In these coordinates, both the field lines and current lines corresponding to the [[MHD equilibrium]] are straight. | * Hamada coordinates. <ref>S. Hamada, Nucl. Fusion '''2''' (1962) 23</ref><ref>[http://dx.doi.org/10.1063/1.1706651 J.M. Greene and J.L Johnson, ''Stability Criterion for Arbitrary Hydromagnetic Equilibria'', Phys. Fluids '''5''' (1962) 510]</ref> In these coordinates, both the field lines and current lines corresponding to the [[MHD equilibrium]] are straight. | ||