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		| Paper: | 
		The relation between Magnetic Energy and Helicity and their accumulation in Eruptive Solar Active Regions | 
	 
	
		| Volume: | 
		470, 370 Years of Astronomy in Utrecht | 
	 
	
		| Page: | 
		59 | 
	 
	
		| Authors: | 
		Tziotziou, K.; Georgoulis, M. K.; Raouafi, N.-E. | 
	 
	
	
		| Abstract: | 
		Magnetic free energy and relative magnetic helicity are two important
 quantities characterizing solar active regions (ARs). Although the
 importance of free magnetic energy storage for solar eruptions is widely
 accepted, the role of magnetic helicity, that quantifies the stress and
 distortion of the magnetic field compared to its lowest (potential) energy
 state, is still under debate. A new nonlinear force-free method designed to
 calculate the instantaneous free magnetic energy and relative magnetic
 helicity budgets of a solar active region from a single vector magnetogram
 is presented. A sample of 40 vector magnetograms corresponding to different
 eruptive and non-eruptive ARs is used to calculate their free magnetic
 energy and relative magnetic helicity budgets, aiming to find a
 statistically robust correlation between them. The derived correlation
 implies that magnetic helicity, besides free magnetic energy, is a crucial
 ingredient for active regions hosting major (M-class and higher) solar
 eruptions. Eruptive active regions appear well segregated from non-eruptive
 ones in both free energy and relative helicity with eruptive major flares
 occurring in ARs with free energy and helicity exceeding 4×1031  erg
 and  2×1042 Mx2, respectively. Helicity is expelled from ARs mainly
 in the form of coronal mass ejections (CMEs) and the above helicity
 threshold agrees well with estimates of typical helicity contents of CMEs. | 
	 
	
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