Non-Circular Dynamics of Solar Coronal Loops

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We apply an integrated set of MHD equations to determine the dynamics of solar coronal loops. These integrated equations specifically determine the time evolution of: (1) the displacement of each loop element due to the "toroidal" force; and (2) the minor radial cross section of each loop element. Previous loop models assume a uniform loop curvature and minor radial cross section along the loop (Chen 1989). These restrictions are relaxed within the present loop model. The solar loop is assumed to initially be in MHD equilibirum, with the restriction that the two footpoints of the loop are anchored within the more massive photosphere. An initial equilibrium electric current is presumed to flow through the loop. This loop model assumes that a return current flows through the surface of the phototsphere. Motions of the photospheric plasma increases the poloidal magnetic flux through the circuit, causing the loop to rise. A circular loop can expand to many times its inital height and attain the shape of a "horse-shoe." These loop shapes bear some semblance to coronal mass ejections. This non-circular toroidal loop model should provide a useful extension in the study of magnetic clouds. Chen, J. 1989, Ap. J., 338, 453.

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