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Solar Limb Darkening 1 Samantha Youles Solar Limb Darkening Photosphere • • • • • • 2 Depth ~ 330 km Temperature gradient Density gradient Mean free path Local thermal equilibrium Blackbody, L = 4πR2σT4eff Samantha Youles Solar Limb Darkening Equipment • 12” Meade Schmidt Cassegrain telescope • FireWire 400 Monochrome camera • AstroSolar Safety Film • Coloured filters • PC 3 Samantha Youles Solar Limb Darkening Exposure Times Clear Blue Green Red 1/350 s 1/12 s 1/45 s 1/55 s Sample box size 10 x 10 pixels 4 Samantha Youles Solar Limb Darkening Solar edges determined with derivative of intensity. Standard deviation from drift scan of central region. 5 Samantha Youles Solar Limb Darkening Uncertainties Solar surface • Magnetic field • Granulation • Faculae • Sunspots Atmosphere Dust on equipment Residual light 6 Samantha Youles Solar Limb Darkening Curve Fitting Curve Fitting 7 Plot χ2 (a) Full 5014 Left 316 Right 354 Samantha Youles Solar Limb Darkening Equation of Radiative transport 8 Samantha Youles Solar Limb Darkening Planck’s Radiation Law Reduction in uncertainties using full covariance matrix by 1/3. Temperature as a function of Optical Depth 9 Samantha Youles Solar Limb Darkening Effective Temperature 5777 K @ 0.6 Optical Depthse 10 Samantha Youles
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