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Micropulsations and orthogonal curvilinear coordinates

Authors:	PC Kendall

Institution:	Department of Mathematics, University of Keele, Keele, Staffordshire ST5 5BG, U.K.

Abstract:	The theory of torsional hydromagnetic oscillations of the magnetosphere is usually cast in terms of orthogonal curvilinear coordinates. For a general magnetic field B with potential Ω it is shown that no coordinates exist in which a suitable solution may be found unless the Alfvén velocity V_A, together with B and Ω satisfy certain functional relationships. In the case V_A = constant, for example we must have $(B · ?)B = function of B and Ω only$ . The relationships presented are in fact satisfied by all the magnetic fields considered to date.

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