An Analytical Three-Dimensional Field Model for Coronal Mass Ejections

Mathematics – Logic

Scientific paper

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7511 Coronal Holes, 7513 Coronal Mass Ejections (2101), 7519 Flares, 7526 Magnetic Reconnection (2723, 7835), 7531 Prominence Eruptions

Scientific paper

We have obtained an explicit expression for the magnetic field of an upward moving 3D flux rope whose feet are anchored in the solar surface. The magnetic field in this model is rigorously line-tied. The new field model allows us to investigate the equilibrium and stability properties of line-tied flux ropes. We find that long flux ropes tend to be more unstable than short ones, and that the shape and orientation of the flux rope are likely to be significantly altered upon eruption. We are also using this model to examine the reconnection process in a situation where there is no topological distinction between field lines. Our analysis indicates that reconnection can significantly alter the appearance of the flux-rope footprint on the surface. This work is supported by NSF National Space Weather Program grants ATM0518218 and ATM0519249 to the University of New Hampshire and Helio Research.

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