Toroidal coordinates: Difference between revisions

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* ''Z'' = ''r'' sin ''θ''
* ''Z'' = ''r'' sin ''θ''
''R<sub>0</sub>'' corresponds to the torus axis and is called the ''major radius'', while ''r'' is called the ''minor radius'', and ''&theta;'' the ''poloidal angle''.
''R<sub>0</sub>'' corresponds to the torus axis and is called the ''major radius'', while ''r'' is called the ''minor radius'', and ''&theta;'' the ''poloidal angle''.
In order to adapt this simple system better to the magnetic surfaces of an axisymmetric [[MHD equilibrium]], it may be enhanced by
* letting ''R<sub>0</sub>'' depend on ''r'' (to account for the Shafranov shift of flux surfaces)
* adding ellipticity (''&epsilon;''), triangularity (''&kappa;''), etc.


== Toroidal ==
== Toroidal ==