Published in: 2004, Magnetic Stars, Proc. Internat. Conf. SAO, Nizhnij Arkhyz, 27-31 August 2003, p. 152-165. Eds.: Yu.V. Glagolevskij, D.O. Kudryavtsev, I.I. Romanyuk
On generating and derived magnitudes
of stellar magnetic fields
Ewald Gerth and Yurij V. Glagolevskij

Abstract
The structure of the stellar magnetic surface field is covered from direct observation by many mixing processes. The discovery of the topographic surface structure requires an inversion procedure but does not reveal the origin of the magnetic field from which it is derived. Modelling of magnetic stars, however, has to start from the generating magnitudes and is a matter of construction by a strategy of forward caculation. The model of the star is fitted to the observed appearance of the real object by variation of parameters and optimizing. The magnetic field strength on the surface of the star - including the magnetic poles - is a derived magnitude, which should not be taken as a parameter for modelling. At present time two versions of magnetic modelling are discussed:
        1. expansion of spherical harmonics,
        2. magnetic charge distribution.
Both methods claim for the application of parameters, which determine the magnetic field. In this paper the question is investigated, what the generating and the derived magnitudes of the magnetic field are. Tracing back the observed spherical distribution of the magnetic field to its origin, one is led to the eigenvalues as the solution of Legendre's differential equation. We regard the eigenvalues as the generating magnitudes of the magnetic field, the physical quantities of which are the constituents of any vector field, namely the sources and vortices, from which the field originates. This interpretation is substantiated by graphical representations of magnetic maps with topographical features like poles - derived from the field-generating sources: the virtual magnetic charges.

Keywords: Chemically peculiar stars, magnetic fields, modelling

Publication:

E. Gerth, Yu. V. Glagolevskij:
On generating and derived magnitudes of stellar magnetic fields
2004, Magnetic Stars, Proc. Internat. Conf. Nizhnyj Arkhyz, 27-31 August 2003. Eds.: Yu.V. Glagolevskij, D.O. Kudryavtsev, I.I. Romanyuk, p. 152-165

Conference Volume: Magnetic Stars, 2003


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