Plasma confinement in the field of a magnetic dipole
Abstract
When constructing a model of the outer shell of a pulsar, or considering processes during solar flares in studying the processes during solar flares or studying the dynamics of the magnetosphere, one must encounter problems of equilibrium and nonequilibrium configurations of magnetized plasma. These problems are very complex, because they often reduce to solving second-order nonlinear equations, the analytical method of solving which at the present time being not sufficiently developed. These problems are very complex. The analytical method for solving such problems is still not sufficiently developed. In this paper we consider a model problem on the equilibrium of a plasma bundle in a magnetic dipole field. The problem is solved in the two-dimensional case, which made it possible to use the mathematical apparatus of analytic functions. One assumption is made: a second plasma symmetric with respect to the dipole was replaced by an equivalent linear current, which led to a single-connected problem. The results of the problem can be used in astrophysics and in the study of magnetospheric processes.
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