Cylindrical Prominences and the Magnetic Influence of the Photospheric Boundary
Abstract
We construct exact, non-linear, solutions for an horizontal, cylindrical, current-carrying, prominence supported against solar gravity by the action of a Lorentz force. The solutions incorporate the photosphere boundary condition, proposed by van Tend and Kuperus (1978), and analyzed by them for line filaments. Our solutions have finite radius for the prominence material and, as well as satisfying the equations of magnetostatic equilibrium, they allow for the continuity of gas pressure, and of the normal and tangential components of magnetic field across the circular prominence boundary. We show that an infinity of solutions is possible and we illustrate the basic behavior by investigation of a special case.
- Publication:
-
Solar Physics
- Pub Date:
- June 1980
- DOI:
- 10.1007/BF00150586
- Bibcode:
- 1980SoPh...66..285L
- Keywords:
-
- Magnetic Effects;
- Magnetostatics;
- Photosphere;
- Solar Physics;
- Solar Prominences;
- Boundary Conditions;
- Cross Sections;
- Equations Of State;
- Equilibrium Equations;
- Gas Pressure;
- Plasma Cylinders;
- Solar Physics;
- Magnetic Field;
- Evolutionary History;
- External Magnetic Field;
- Lorentz Force;
- Tangential Component