Tracking Magnetic Footpoints in Active Regions

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

The accurate estimation of magnetic footpoint velocities from a temporal sequence of photospheric magnetograms is critical for estimating the magnetic energy and helicity fluxes through the photosphere. A new technique for determining the magnetic footpoint velocities from a sequence of magnetograms is presented. This technique determines the optical flow for magnetic footpoints by applying the magnetic induction equation and an affine velocity profile to a windowed subregion of the magnetogram sequence producing an overdetermined system that can be solved directly by standard least squares or total least squares methods. The resulting optical flow field and associated uncertainties are statistically consistent with the magnetic induction equation and the affine velocity profile within this subregion. The technique is applied to several active regions. The gross motion of the active regions is roughly consistent with solar differential rotation. The more complex small scale motion is analyzed and discussed.

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