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Sunrise Equation

Mathematical Physics, Biology and Game Theory

The sunrise equation, also called the sunset equation, is a formula that calculates when the sun rises or sets at a given location on Earth. It works from two astronomical quantities, the sun's declination and the observer's latitude, converting between the equatorial and horizontal coordinate systems to find the moment a celestial object crosses the horizon. In its basic geometric form the equation ignores atmospheric effects, but more refined versions account for atmospheric refraction and the sun's apparent size, giving the greater accuracy needed for practical uses such as astronomical almanacs. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

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1. Sunrise Equation (Wikipedia)
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The sunrise equation or sunset equation can be used to derive the time of sunrise or sunset for any solar declination and latitude in terms of local solar time when sunrise and sunset actually occur.
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