Toroidal equilibria with cross‐sectional shapes asymmetric to the plane z =0 are studied analytically. A general solution of the toroidal equilibrium is obtained with an inverse aspect‐ratio expansion and the Fourier decomposition as to the poloidal angle of the ideal magnetohydrodynamic equation. In the example of a tear drop rotated around its magnetic axis, the normal tear drop shows the deepest magnetic well, while the depth is only about 70% at 180° rotated ’’Pord‐raet’’ position. A proper combination of z‐asymmetric deformations, on the other hand, can deepen the well.
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© 1979 American Institute of Physics.
1979
American Institute of Physics
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