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The geomagnetic tail is represented by a cylinder with a central plane (the neutral sheet) dividing it into two regions containing antiparallel magnetic fields. Thus, in cross section, it resembles the letter theta. The equations for the two possible hydromagnetic modes, the transverse magnetic and the transverse electric, are derived. The effect of the parallel electric field is retained to obtain a complete description of the transverse magnetic mode. The solutions for these modes are presented, and the associated eigenperiods are calculated assuming perfectly reflecting boundaries.
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McClay et al. (1967) studied this question.
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