The field of a screened magnetic dipole

Computer Science

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Magnetic Dipoles, Magnetic Fields, Magnetic Shielding, Static Models, Cavities, Magnetostatics, Planetary Magnetotails, Transition Points

Scientific paper

The purpose of this note is to quantitatively study the asymptotic behavior of the dipole magnetic field in the tail region of a paraboloidal or cylindrical model of the magnetosphere, assuming the complete screening of the internal field by magnetopause currents. This screening assumption is equivalent to imposing the boundary condition that the normal component of the magnetic field is zero at the magnetopause. With this boundary condition, the screened dipole field falls off exponentially with distance down the tail, in sharp constrast to the bare dipole field. Analytic expressions for a cylindrical and paraboloidal magnetopause are given.

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