Atmospheric Chemistry and Physics
Atmospheric Chemistry and Physics
ACP
Articles | Volume 24, issue 8
Articles | Volume 24, issue 8
https://doi.org/10.5194/acp-24-5093-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/acp-24-5093-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 24, issue 8
Research article
 | 
30 Apr 2024
Research article |  | 30 Apr 2024

Analytical approximation of the definite Chapman integral for arbitrary zenith angles

Dongxiao Yue

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Latest update: 24 May 2026
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Short summary
The stunning colors of the sky and clouds result from light scattering in the atmosphere, whose density changes with height. Previously, calculating these colors involves costly, sometimes inaccurate methods. This paper presents a silver bullet: a single elegant formula that simplifies these complex calculations. What is the result? We have faster, more precise predictions of atmospheric colors, from Earth's blue skies and red sunsets to Venus's golden hues.
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