Three-dimensional structures of magnetostatic atmospheres. V - Coupled electric current systems

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Electric Current, Magnetostatics, Solar Atmosphere, Solar Magnetic Field, Equilibrium Equations, Gravitational Fields

Scientific paper

The magnetostatic equations describing equilibrium among the Lorentz, pressure, and gravitational forces are transformed to a statement of Ampere's law incorporating the condition of equilibrium. The pressure as a function of space is expressed in terms of the gravitational potential, a component of the magnetic field, and an arbitrary third variable to complete a set of local curvilinear coordinates. The coupling of the two current systems is shown to be manifest in the need for the third variable to describe the pressure structure. A discussion relating the derived equations to other known forms of the magnetostatic equations is presented.

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