Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999arep...43...24v&link_type=abstract
Astronomy Reports, Volume 43, Issue 1, January 1999, pp.24-37
Astronomy and Astrophysics
Astronomy
5
Scientific paper
We consider a simplification of the relations used to represent non-linear forces as expansions over a complete system of orthogonal spherical vectors in analyses of the equilibrium of a rotating star with a magnetic field. Since the equations describing stellar oscillations form an infinite system of coupled differential equations, the determination of the fundamental frequencies in the low-frequency range and of the equilibrium magnetic structures are quite complicated. In particular, the solution for an isolated magnetic flux tube is determined with account for the regularity condition for the field outside the tube. These calculations provide evidence that the transverse sizes of such isolated flux tubes are small. We also discuss low-frequency oscillations in a local approximation in the case of rigid rotation of the medium. Equations describing the frequency splitting of g modes in a differentially rotating star are derived.
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