General principles of describing second- and higher-order null points of a potential magnetic field in 3D

General principles of describing secondand higher-order null points of a potential magnetic field are formulated. The potential near a second-order null of the general form can be specified by a linear combination of four basic functions, the list of which is presented. Near secondand higher-order n...

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Veröffentlicht in:Geomagnetism and Aeronomy 2015-12, Vol.55 (8), p.1152-1158
Hauptverfasser: Lukashenko, A. T., Veselovsky, I. S.
Format: Artikel
Sprache:eng
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Zusammenfassung:General principles of describing secondand higher-order null points of a potential magnetic field are formulated. The potential near a second-order null of the general form can be specified by a linear combination of four basic functions, the list of which is presented. Near secondand higher-order null points, field line equations often cannot be integrated analytically; however, in some cases, it is possible to present a qualitative description of the geometry of null vicinities with consideration of the behavior of field lines near rays outgoing from null, at which the field is radial or equals zero.
ISSN:0016-7932
1555-645X
0016-7940
DOI:10.1134/S0016793215080186