EDP Sciences
Free access
Volume 412, Number 1, December II 2003
Page(s) 281 - 292
Section Diffuse matter in space
DOI http://dx.doi.org/10.1051/0004-6361:20031424

A&A 412, 281-292 (2003)
DOI: 10.1051/0004-6361:20031424

Potential magnetic fields around flux ropes

M. Vandas1, E. P. Romashets2 and S. Watari3

1  Astronomical Institute, Academy of Sciences, Bocní II 1401, 141 31 Praha 4, Czech Republic
2  Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation, Russian Academy of Sciences, Troitsk, Moscow Region, 142092, Russia
    e-mail: romash@izmiran.rssi.ru
3  Communications Research Laboratory, 4-2-1 Nukuikita, Koganei, Tokyo 184-8795, Japan
    e-mail: watari@crl.go.jp

(Received 19 September 2002 / Accepted 8 September 2003 )

A method of calculation of potential magnetic fields around cylindrical and toroidal flux ropes is presented. The flux rope has an arbitrary orientation with respect to ambient field. The problem is solved analytically. Expressions for the magnetic field components, diamagnetic force, and its moment are found. Results obtained can be used for estimations of magnetic forces in systems where magnetic flux ropes and potential fields coexist, e.g., in the solar corona.

Key words: magnetic field -- flux ropes -- solar corona

Offprint request: M. Vandas, vandas@ig.cas.cz

© ESO 2003