Photospheric limb-darkening signatures of global structure variations

Physics

Scientific paper

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Limb Darkening, Photosphere, Solar Limb, Amplitudes, Atmospheric Temperature, Convective Heat Transfer

Scientific paper

Observations of short-term irradiance variations and consideration of mechanisms of the solar activity cycle suggest the possibility of long-term variation of the solar flux. Since the limb darkening is sensitive to effective temperature and convective efficiency, observations of the solar limb darkening may provide a useful means to detect and study long-term global variations. The limb-darkening responses to impulsive variation (in depth) of the source function, to effective temperature variation, and to convection variations are presented. For the variations considered, the limb-darkening variation is approximately linearly proportional to the associated parameters. The minimum detectable amplitude of those parametric variations is derived as a function of observational noise. Given demonstrated errors of observation, single-parameter sensitivities are 3 K for effective temperature variation and 0.007 for local mixing-length variation for year-to-year changes at 99 percent confidence.

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