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Analytical Reference Functions F(λ) for the Sun's Limb Darkening and Its Absolute Continuum Intensities (λλ 300 to 1100 m)

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Abstract

It is shown (1) that the coefficients A i of the limb darkening functions I(μ)/Icenter = P5 (μ) = ∑A i μi (i = 0... 5; μ = cos ϑ), which had been published by Neckel and Labs (Solar Phys. 153, 91, 1994), can well be approximated by analytical functions of wavelength λ, and (2) that at first sight purely formal extrapolation of the functions P5(μ) to the very limb (μ = 0.0) is not meaningless: in combination with absolute intensities for the disk center these functions yield ‘limb intensities’ which all correspond to almost the same ‘limb temperature’, Tlimb≈4746 K. Together these results lead to ‘reference functions’ which can quickly yield rather reliable values of the Sun's continuum intensities, for any values of μ and λ.

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  1. Heinz Neckel

    Present address: , Gorch-Fock-Street 2, D-21465, Reinbek, Germany

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  1. Hamburger Sternwarte, D-21029, Hamburg, Germany

    Heinz Neckel

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  1. Heinz Neckel
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Correspondence to Heinz Neckel.

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Neckel, H. Analytical Reference Functions F(λ) for the Sun's Limb Darkening and Its Absolute Continuum Intensities (λλ 300 to 1100 m). Sol Phys 229, 13–33 (2005). https://doi.org/10.1007/s11207-005-4081-z

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  • DOI: https://doi.org/10.1007/s11207-005-4081-z

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