A model of Io's local electric field for a combinedAlfv'enic and unipolar inductor far-field coupling

Physics

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Scientific paper

We present an equation for Io's electric field/electric potential, which includes Io's inhomogeneous and anisotropic conductances and covers for Io's far-field, both, the unipolar inductor and the Alfvén wing model. We solve this equation for constant elliptically shaped ionospheric conductances, which leads to useful analytic expressions for properties of Io's local interaction such as for the total electric current driven by Io's interaction. This expression also shows that not the voltage across Io's ionosphere, as often assumed, is physically related to the electric current; it is the extensions of the ionosphere in both directions what controls the total current. Our solution also shows that the Alfvénic and unipolar inductor models lead to different properties of Io's local interaction. For example, the maximum plasma speed up around Io is higher in the Alfvénic coupling case.

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