Sunrise Sunset Equations:
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The Sunrise Sunset Calculator estimates the times of sunrise and sunset based on latitude and solar declination. It uses astronomical equations to provide the best estimate of daylight hours for a given location and date.
The calculator uses these equations:
Where:
Explanation: The equations account for the Earth's tilt and the observer's latitude to calculate when the sun crosses the horizon.
Details: Knowing sunrise and sunset times is crucial for agriculture, photography, outdoor activities, religious observances, and understanding seasonal daylight variations.
Tips: Enter latitude (-90 to 90 degrees) and solar declination (-23.5 to 23.5 degrees). For accurate results, use precise values for your location and date.
Q1: What is solar declination?
A: Solar declination is the angle between the rays of the Sun and the plane of the Earth's equator, varying between -23.5° and +23.5° throughout the year.
Q2: Why does the calculation use 12 as the base?
A: 12 represents solar noon when the sun is at its highest point. Sunrise and sunset are symmetric around solar noon.
Q3: How accurate are these calculations?
A: They provide theoretical values. Actual sunrise/sunset may vary due to atmospheric refraction, elevation, and local topography.
Q4: What happens at extreme latitudes?
A: Near the poles, the equations may result in 24-hour daylight (midnight sun) or 24-hour darkness (polar night) during certain seasons.
Q5: Can I use this for any date?
A: Yes, but you need the correct solar declination for your specific date, which changes throughout the year.