Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...277..415l&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 277, Feb. 1, 1984, p. 415-421.
Astronomy and Astrophysics
Astrophysics
25
Magnetic Field Configurations, Magnetostatics, Solar Corona, Solar Magnetic Field, Nonlinear Equations, Solar Prominences, Vertical Orientation
Scientific paper
Further developments in a study of three-dimensional magnetostatic equilibrium in the presence of a vertical uniform gravity are reported. In an earlier study, a set of analytic solutions for coronal structures was constructed with the constraint that the three-dimensional magnetic field lies in parallel vertical planes. This constraint is now relaxed, leading to geometrically more realistic solutions. These equilibrium states are characterized by the magnetic tension force being vertical everywhere and the total pressure being a function of height only. The nonlinear equations describing these special magnetic fields are derived with the use of Euler potentials. Two illustrative examples are given in explicit form, suggesting the quiescent prominence to be a highly inhomogeneous structure, composed of local density enhancements and depletions embedded in a three-dimensional sheared magnetic field.
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