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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Bibliographic Details
Published inGeomagnetism and Aeronomy Vol. 55; no. 8; pp. 1152 - 1158
Main Authors Lukashenko, A. T., Veselovsky, I. S.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2015
Springer Nature B.V
Subjects
Aeronomy
Earth and Environmental Science
Earth Sciences
Geomagnetism
Geophysics
Geophysics/Geodesy
Lists
Magnetic fields
Mathematical analysis
Three dimensional
Null Point
Field Line
Spherical Function
Magnetic Reconnection
Associate Legendre Function
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0016-7932
1555-645X
0016-7940
DOI:10.1134/S0016793215080186