Force-free magnetic fields of four-polar sunspots and magnetic energy of the big active region of August 1972

Details Force-free magnetic fields of four-polar sunspots and magnetic energy of the big active region of August 1972 Force-free magnetic fields of four-polar sunspots and magnetic energy of the big active region of August 1972

Jan 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982sssmp..25...89l&link_type=abstract

Scientia Sinica, Series A - Mathematical, Physical, Astronomical and Technical Sciences, vol. 25, Jan. 1982, p. 89-98.

Astronomy and Astrophysics

Astronomy

1

Force-Free Magnetic Fields, Solar Flares, Solar Magnetic Field, Sunspots, Boundary Value Problems, Lines Of Force, Magnetic Field Configurations, Penumbras

Scientific paper

The sunspot magnetic structure of the August 2-7, 1972 active region is considered, using the four-polar, force-free magnetic field approximation. Analytic formulas are derived for the three-dimensional components of the magnetic field, the magnetic energy, and the extractable energy for a four-polar constant, alpha-symmetric field. An evaluation and comparison of the daily extractable energy values with the daily regional flare indices suggests that: (1) the energy of solar flares in this region derives from the extractable energy stored by the twisting of the magnetic fields; (2) the region's magnetic field may be approximately represented by a four-polar magnetic field; (3) the analytic solutions and transverse field configurations derived are applicable to sunspot groups which appear to resemble polarity distributions; and (4) a lower limit of extractable energy of about 8 x 10 to the 31st exists for the occurrence of flares whose importance value is not lower than 2.0.

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