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    During a solar eclipse, the sky isn't completely dark due to scattered light. This study models sky brightness during totality, revealing it's significantly darker and bluer than the daytime sky.

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    Area of Science:

    • Atmospheric optics
    • Radiative transfer theory
    • Solar eclipses

    Background:

    • The sky during a solar eclipse is not completely dark.
    • This dim illumination is caused by light scattering in the atmosphere outside the eclipse shadow.
    • Second-order scattering is the dominant process.

    Purpose of the Study:

    • To describe a method for calculating sky spectral radiance during a solar eclipse.
    • To predict the spectral radiance of the zenith sky during totality using a second-order scattering model.
    • To improve the understanding of atmospheric optical effects during eclipses.

    Main Methods:

    • Developed a second-order scattering model incorporating molecular and aerosol scattering.
    • Included an illumination function to quantify solar illumination falloff.
    • Simulated spectral radiance and compared with observational data.

    Main Results:

    • The zenith sky during totality is predicted to be approximately four orders of magnitude darker than the daytime sky.
    • The color of the totality zenith sky is bluer than the daytime sky.
    • Totality skylight originates from high troposphere scattering within a ~66 km radius for hazy conditions.

    Conclusions:

    • The developed model accurately predicts zenith sky spectral radiance during solar eclipses.
    • The findings enhance the understanding of atmospheric light scattering and eclipse observation.
    • The study validates model predictions with real-world eclipse observations.