A&A 398, 801-807 (2003)
DOI: 10.1051/0004-6361:20021691
A force-free field with constant alpha in an oblate cylinder: A generalization of the Lundquist solution
M. Vandas1 and E. P. Romashets21 Astronomical Institute, Academy of Sciences, Bocní II 1401, 141 31 Praha 4, Czech Republic
e-mail: vandas@ig.cas.cz
2 Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation, Russian Academy of Sciences, Troitsk, Moscow Region, 142190, Russia
e-mail: romash@izmiran.rssi.ru
(Received 10 September 2002 / Accepted 30 October 2002 )
Abstract
A force-free magnetic field with constant alpha for a circular cylindrical
flux rope (Lundquist solution) is widely used to describe the magnetic field
configuration in interplanetary flux ropes. Observations as well as MHD
simulations indicate that interplanetary flux ropes are not circular but
have an oblate shape. Here we present an analytical solution for
a force-free magnetic field with constant alpha in an elliptic flux rope
which may be regarded as a direct generalization of the Lundquist solution.
An alternative simpler solution for a force-free magnetic field with constant
alpha in an oblate flux rope is discussed.
Key words: magnetic fields -- Sun: coronal mass ejections (CMEs)
Offprint request: M. Vandas, vandas@ig.cas.cz
© ESO 2003
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