Time Evolution of Coronal Magnetic Helicity in the Flaring Active Region NOAA 10930

Astronomy and Astrophysics – Astronomy

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Scientific paper

To study the three-dimensional (3D) magnetic field topology and its long-term (a few days) evolution associated with the X3.4 flare of 2006 December 13, we investigate the temporal evolution of the relative coronal magnetic helicity in NOAA active region (AR) 10930 during the time period of December 8, 21:20 UT through December 14, 5:00 UT. The coronal helicity is calculated based on the 3D nonlinear force-free (NLFF) magnetic fields reconstructed by the optimization method (Wheatland et al. 2000) as implemented by Wiegelmann (2004). As the boundary conditions for the force-free reconstruction, we use the preprocessed Hinode Spectropolarimeter (SP) vector magnetograms in which the net Lorentz force and the torque in the photosphere are minimized (see Wiegelmann et al. 2006 for the details). The major findings of this study are: (1) a negative (left-handed) helicity of -5×1043 Mx2 in the AR corona is estimated right before the X3.4 flare; (2) the major flare is preceded by a significantly and consistently large amount of negative helicity injection (-2×1043 Mx2) into the corona over 2 days; (3) the temporal variation of helicity is comparable to that of the rotational speed in the southern sunspot with positive polarity; (4) in general, the time profile of the coronal helicity is well-matched with that of the helicity accumulation by the time integration of the simplified helicity injection rate (Chae 2001) determined by using SOHO MDI magnetograms; (5) at the time period of the channel structure development (December 11, 4:00-8:00 UT) with newly emerging flux and just right before the C5.7 class flare, the time variation of the coronal helicity shows a rapid and huge increase of negative helicity, but that of the helicity accumulation by MDI magnetograms indicates a monotonous increase of negative helicity.

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