Daylight Hours Formula:
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Definition: This calculator estimates the number of daylight hours during the summer solstice based on geographic latitude.
Purpose: It helps astronomers, geographers, and curious individuals understand how latitude affects daylight duration on the longest day of the year.
The calculator uses the formula:
Where:
Explanation: The formula calculates the hour angle when the sun rises/sets, then converts this to daylight duration.
Details: Understanding daylight patterns helps in agriculture, urban planning, solar energy projects, and understanding seasonal variations.
Tips: Enter your latitude in degrees (-90 to 90). Positive for northern hemisphere, negative for southern hemisphere.
Q1: Why 23.44 degrees in the formula?
A: This represents Earth's axial tilt relative to its orbital plane, which is maximum during solstices.
Q2: What results should I expect at extreme latitudes?
A: Near the poles (above 66.56°), you'll get 24 hours of daylight. Near the equator, about 12 hours.
Q3: Does this account for atmospheric refraction?
A: No, this is a theoretical calculation. Actual daylight may be slightly longer due to atmospheric effects.
Q4: How does this differ from winter solstice?
A: For winter solstice, use -23.44° instead. The formula would then calculate the shortest day's daylight.
Q5: What about other times of year?
A: The formula changes as Earth's axial tilt relative to the sun changes throughout the year.