Revisit to Schlueter-Temesvary Self-similar Sunspot Models

Astronomy and Astrophysics – Astronomy

Scientific paper

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Sun: Magnetic Fields, Sun: Sunspots

Scientific paper

Sunspot models based on self-similarity have been reassessed by computing them with the use of a shape function incorporating the Wilson effect. It is found that the newly computed models not only remove the inconsistency spotted by Osherovich in 1982 from Yun's models but also account fairly well for the observed relation between field strength and effective temperature. By virtue of empirical relations found by recent high-resolution observations, the computed models can be characterized by the effective temperature at the sunspot center if an appropriate field gradient is assumed. The vertical gradient of the angle of inclination in the outer part of the model spot is found to be 0.dg01-0.dg03 km-1, in agreement with the finding of Solanki, Walther, & Livingston in 1993. This demonstrates the importance of accounting for the Wilson effect in constructing self-similar sunspot models.

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