Equilibrium of toroidal configurations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Io, Magnetic Stars, Plasma Equilibrium, Toroidal Plasmas, Boundary Conditions, Boundary Value Problems, Equilibrium Equations, Linear Equations

Scientific paper

A class of solutions is presented for the equilibrium equation of toroidal configurations in terms of infinite series which in a limited number of cases can be reduced to known functions. In the linear case, the solution can be given in the form of a particular solution plus the solution of the homogeneous equation, thereby satisfying certain boundary conditions. Applications are presented for the zero- and first-order approximations.

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