Approximate Equilibrium and Local Stability of the Earth's Magnetotail.

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Approximate equilibrium solutions for the earth's magnetic tail are constructed. They contain plasma flow along the magnetic field lines as is seen in various observations. In the two-dimensional case, the flow occurs in a narrow layer modeling the plasma sheet boundary layer, and examples of both open and closed magnetospheres are shown. Also described are examples of finite-size compressible plasmoids traveling down the magnetotail. The three-dimensional case is developed with an example given. The local (ballooning) stability of the magnetotail is examined by investigating a special case of approximate equilibrium with parallel super-Alfvenic flow. Previously, others showed that the sub-Alfvenic flow case is exponentially unstable for a range of parameter values. Surprisingly, in the super -Alfven case, instability (when it occurs) is found to only grow algebraically in time.

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