Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...293..906l&link_type=abstract
Astronomy and Astrophysics 293, 906-912 (1995)
Astronomy and Astrophysics
Astrophysics
1
Sun: Corona, Sun: Prominences, Sun: Magnetic Fields, Magnetohydrodynamics
Scientific paper
A prominence is often modelized by a vertical infinitely thin massive current sheet {SIGMA} embedded in the coronal half-space {z>0}, and supported against a uniform gravitational field -gz{hat} by an x-invariant magnetic field which is potential outside {SIGMA}. In the framework of this simple model, we reconsider the problem of the determination of the magnetic field from the knowledge of its normal components on both {SIGMA} and the photospheric plane {z=0}, the values of these quantities being assumed to be extracted from actual observational data. It is shown that there is in general no regular field satisfying these boundary conditions. A sensible "regularization" procedure can however be applied to the problem, which allows to determine a field in a unique way. Conditions on the data for this field being actually able to support a prominence are established, and an explicit example is computed.
Aly Jean-Jacques
Lepeltier T.
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