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Daylight Hours Calculator

Daylight Hours Formula:

\[ \text{Daylight Hours} = \frac{24}{\pi} \times \arccos(-\tan(Lat) \times \tan(Dec)) \]

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1. What is the Daylight Hours Calculation?

The Daylight Hours calculation estimates the number of hours of daylight at a specific location on Earth for a given day of the year. It uses astronomical formulas based on latitude and solar declination to determine sunrise and sunset times.

2. How Does the Calculator Work?

The calculator uses the astronomical formula:

\[ \text{Daylight Hours} = \frac{24}{\pi} \times \arccos(-\tan(Lat) \times \tan(Dec)) \]

Where:

Explanation: The formula calculates the hour angle of sunrise/sunset and converts it to daylight duration. The result represents the time between sunrise and sunset.

3. Importance of Daylight Hours Calculation

Details: Calculating daylight hours is essential for agriculture, solar energy planning, outdoor activities, architectural design, and understanding seasonal variations in different geographical locations.

4. Using the Calculator

Tips: Enter latitude in degrees (-90 to 90) and solar declination in degrees (-23.5 to 23.5). The calculator automatically converts degrees to radians and computes the daylight duration.

5. Frequently Asked Questions (FAQ)

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. It varies throughout the year between approximately -23.5° and +23.5°.

Q2: Why does daylight duration vary?
A: Daylight duration varies due to the Earth's axial tilt (23.5°) and its orbit around the sun, causing seasonal changes in the angle and duration of sunlight.

Q3: What are extreme cases of daylight hours?
A: At the equator, daylight is nearly constant at 12 hours. At the poles, there can be 24 hours of daylight (midnight sun) or 24 hours of darkness during solstices.

Q4: How accurate is this calculation?
A: This provides a theoretical maximum. Actual daylight can be affected by atmospheric refraction, terrain, and local weather conditions.

Q5: Can this calculate for any date?
A: Yes, when provided with the correct solar declination for that specific date. Declination can be calculated or looked up in astronomical tables.

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