A theoretical study of magnetohydrodynamic instabilities in non-rotating and rotating magnetospheric plasmas

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A new magnetospheric energy principle was constructed for spherically symmetric monopolar magnetospheres with magnetic field lines extending to infinity. By using eikonal assumption, I showed the existence of ionosphere-driven magnetohydrodynamic (MHD) instabilities for spherically symmetric monopolar magnetospheres and for magnetospheres with closed field lines. For an arbitrary closed magnetospheric configuration, which includes a dipole field, a general stability criterion was obtained for pressure-driven interchange instability. A nonideal MHD eigenmode equation was derived for a velocity shear instability, which is driven by a shear in the ion diamagnetic drift velocity in sheared magnetic fields, and a general stability criterion was obtained.