The geometry of magnetic fieldlines in magnetogeostrophic flows

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Atmospheric Circulation, Geostrophic Wind, Magnetic Field Configurations, Current Density, Differential Equations, Incompressible Flow

Scientific paper

Taking into account the Lorentz force, magnetogeostrophic flows are theoretically investigated in order to study the geometry of magetic field lines. The only circulation-preserving magnetospheric motions for which the current density is lamellar and bears a constant value on a current density vector are shown to be: (1) a plane motion of constant current density, on which may be superimposed a coplanar isochronous motion and a time-dependent rigid translation perpendicular to the plane of motion; and (2) a helical motion whose magnetic field lines have prescribed physical components.

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