Solar irradiance variations and nonlinear mean field dynamo

Astronomy and Astrophysics – Astronomy

Scientific paper

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Dynamo Theory, Irradiance, Nonlinearity, Solar Convection (Astronomy), Stellar Models, Angular Velocity, Solar Magnetic Field, Solar X-Rays, Stellar Luminosity, Stellar Rotation

Scientific paper

By using a nonlinear model of an axisymmetric alpha - omega dynamo, an analytical expression which gives the magnitude of the mean magnetic field as a function of rotation and other parameters for a solar-type convection zone is obtained. The mean magnetic field varies as the 3/4 power of the rotation rate. The resulting theoreticl relationship of the X-ray luminosity as a function of the angular velocity is in agreement with observations by Fleming, Gioia, and Maccacaro (1989).

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