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Statistical Relationship Between Solar Magnetic Free Energy and Major Solar Flares

Presentation #106.35 in the session Solar Eruptive Events: Posters.

Published onSep 18, 2023
Statistical Relationship Between Solar Magnetic Free Energy and Major Solar Flares

In this work we have examined the relationship between magnetic energy and 108 major solar flares (M-class and X-class) using nine active regions (ARs), whose data are taken from non-linear force-free extrapolations by “Institute for Space-Earth Environmental Research (ISEE) Database” in Nagoya University. For this we define three flare phases based on magnetic free energy (MFE): rising, peak (above 80 % of the maxmimum value), and declining one. For each phase, solar flare occurring rate is calculated as a ratio of the number of flares to the duration(hrs) of each phase. The flare occurring rate of each phase (raising, peak, and declining) is 0.13, 0.13 and 0.02, respectively, when all ARs are considered, and 0.17, 0.22, and 0.02, respectively, when ARs having 10 major flares are considered. The flare index rate (flare index divided by duration), which shows how strong flares occurred during each phase, are 5.68, 11.49, and 1.78, respectively. From this we conclude that flare rates in the rising and peak phases are almost same and significantly higher than that of declining phase. In the major and extreme flare rich ARs, the flare occurring rate of peak phase is a little higher than one of rising phase. It is interesting to note that the flare index rate of the peak phase is noticeably higher than that of the rising one.

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