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Abstract
We present threedimensional (3D) solutions of the magnetohydrostatic equations in the corotating frame of reference outside a magnetized rigidly rotating cylinder. We make no symmetry assumption for the magnetic field, but to be able to make analytical progress we neglect outflows and specify a particular form for the current density. The magnetohydrostatic equations can then be reduced to a single linear partial differential equation for a pseudopotential U, from which the magnetic field can be calculated by differentiation. The equation for U can be solved by standard methods. The solutions can also be used to determine the plasma pressure, density and temperature as functions of all three spatial coordinates. Despite the obvious limitations of this approach, it can, for example, be used as a simple tool to create 3D models for the closed field line regions of rotating magnetospheres without rotational symmetry.
Original language  English 

Pages (fromto)  535547 
Number of pages  13 
Journal  Geophysical and Astrophysical Fluid Dynamics 
Volume  103 
Issue number  6 
Early online date  30 Jul 2009 
DOIs  
Publication status  Published  2009 
Keywords
 Magnetohydrodynamics
 Analytical solutions
 Rotating magnetospheres
 Threedimensional equilibria
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Dive into the research topics of 'Threedimensional analytical magnetohydrostatic equilibria of rigidly rotating magnetospheres in cylindrical geometry'. Together they form a unique fingerprint.Projects
 2 Finished


Solar&Magnetospheric Plasma Theory PP/E1: Solar and Magnetospheric Plasma Theory
Neukirch, T., Hood, A. W., Parnell, C. E., Priest, E. R., Roberts, B. & Wright, A. N.
1/04/07 → 31/03/12
Project: Standard