Hale's law

In solar physics, Hale's law, also known as Hale's polarity law or the Hale–Nicholson law, describes the tendency for bipolar active regions within the same northern or southern heliographic hemisphere to have the same leading magnetic polarity with respect to the solar rotation, and for those in the opposite hemisphere to have the opposite leading polarity. It further describes how this pattern reverses from one sunspot cycle to the next. It is named after George Ellery Hale and Seth Barnes Nicholson. Hale's law, along with Joy's law, provides observational evidence for the solar dynamo.

The three features of Hale's law with bipolar active regions represented by pairs of red and blue sunspots of exaggerated size

History

The solar magnetic field was first detected in 1909 by George Ellery Hale when he showed observationally that sunspots had strong, bipolar magnetic fields. With these observations, Hale also noted how the majority of sunspot groups within the same heliographic northern or southern hemisphere shared the same leading polarity and that this pattern reversed across the equator. As solar cycle 14 transitioned into solar cycle 15, further observations were carried out by Hale and his collaborators revealing in 1919 that the magnetic polarity of sunspot pairs within both hemispheres reversed from one 11-year sunspot cycle to the next. These patterns became collectively known as Hale's polarity law, or simply Hale's law.[1][2]

Definition

Photospheric magnetograms taken during solar cycles 24 and 25 demonstrate Hale's law. Here, white (black) patches indicate magnetic field lines pointing out of (into) the page, and bipolar active regions appear as pairs of these black and white patches. In these magnetograms, the leading polarity of a given active region is the rightmost polarity.

Hale's law describes the magnetic polarity associated with solar active regions. The magnetic field of most active regions can usually be approximated by a pair of magnetic monopoles with opposite polarity, in which case the region is referred to as a bipolar active region. These poles are generally oriented so that one pole is leading with respect to the direction of solar rotation, and one pole is trailing.

Hale's law states that bipolar active regions have the following properties depending on whether the region is located in the northern or southern heliographic hemisphere:[1]

  • In the same hemisphere, regions tend to have the same leading polarity.
  • In the opposite hemisphere, regions tend to have the opposite leading polarity.
  • Leading polarities in both hemispheres reverse from one sunspot cycle to the next.

Anti-Hale regions

Bipolar active regions that violate Hale's law are known as anti-Hale regions. The estimated relative number of anti-hale regions varies from 2 to 9%, due to how often anti-Hale regions are misidentified.[3]

Small, weak, ephemeral active regions violate Hale's law more frequently than average with a relative number around 40%. In contrast, only 4% of medium to large sized active regions violate Hale's law.[4][5] Additionally, anti-Hale regions, and small regions in general, tend to have an orientation angle, or tilt, that does not follow Joy's law.[6]

See also

References

  1. Hale, George E.; Ellerman, Ferdinand; Nicholson, S. B.; Joy, A. H. (April 1919). "The Magnetic Polarity of Sun-Spots". The Astrophysical Journal. 49: 153. Bibcode:1919ApJ....49..153H. doi:10.1086/142452.
  2. "Hale's Sunspot Polarity Law | High Altitude Observatory". www2.hao.ucar.edu.
  3. Zhukova, Anastasiya; Khlystova, Anna; Abramenko, Valentina; Sokoloff, Dmitry (December 2020). "A Catalog of Bipolar Active Regions Violating the Hale Polarity Law, 1989 – 2018". Solar Physics. 295 (12): 165. arXiv:2010.14413. Bibcode:2020SoPh..295..165Z. doi:10.1007/s11207-020-01734-9. S2CID 225076009.
  4. Richardson, Robert S. (January 1948). "Sunspot Groups of Irregular Magnetic Polarity". The Astrophysical Journal. 107: 78. Bibcode:1948ApJ...107...78R. doi:10.1086/144988. ISSN 0004-637X.
  5. Hagenaar, Hermance J. (July 2001). "Ephemeral Regions on a Sequence of Full‐Disk Michelson Doppler Imager Magnetograms". The Astrophysical Journal. 555 (1): 448–461. Bibcode:2001ApJ...555..448H. doi:10.1086/321448. S2CID 121706849.
  6. Howard, Robert F. (1989). "The magnetic fields of active regions: I. Data and first results". Solar Physics. 123 (2): 271–284. Bibcode:1989SoPh..123..271H. doi:10.1007/BF00149106. S2CID 125590815.

Further reading

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