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Birn 1979
Birn, J. (1979). Self-consistent magnetotail theory: General solution for the quiet tail with vanishing field-aligned currents. Journal of Geophysical Research 84: doi: 10.1029/JA084iA09p05143. issn: 0148-0227.

The three-dimensional theory of the quiet magnetotail by Birn et al. (1977a) is revised and generalized. The general static solution is presented for the case of vanishing field-aligned currents holding for quiet times with small bulk velocities and negligible pressure anisotropy. Since the knowledge of particle entry, transport, and loss an of the interaction of the magnetosphere with the solar wind is too small to determine the solution by appropriate initial and boundary conditions, the free functions of the general solution have been adjusted to the observational material inside the tail. It is shown that the quiet tail data can be fitted by a self-consistent model without flux loss through the boundary (closed magnetosphere). Restrictions following from self-consistency provide further (indirect) evidence for plasma sheet thickening towards the flanks. The effect of dipole tilt on the neutral sheet position and tail aberration can also be included of the field lines in the x, y plane is connected with the occurence of field-aligned currents.

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Abstract

Journal
Journal of Geophysical Research
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American Geophysical Union
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