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Daylight Calculator By Location

Daylight Hours Formula:

\[ Hours = \frac{2}{15} \times \arccos(-\tan(\phi) \times \tan(\delta)) \]

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1. What is a Daylight Calculator By Location?

Definition: This calculator estimates the number of daylight hours at a specific latitude based on the sun's declination angle.

Purpose: It helps astronomers, gardeners, and outdoor planners determine daylight duration for any location and date.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Hours = \frac{2}{15} \times \arccos(-\tan(\phi) \times \tan(\delta)) \]

Where:

Explanation: The formula calculates the hour angle when the sun rises/sets, then converts it to daylight duration.

3. Importance of Daylight Calculation

Details: Accurate daylight estimation helps in agriculture, solar energy planning, construction scheduling, and outdoor activities.

4. Using the Calculator

Tips: Enter latitude (-90° to 90°) and solar declination (-23.45° to 23.45°). Both values must be within these ranges.

5. Frequently Asked Questions (FAQ)

Q1: What is solar declination?
A: The angle between the sun's rays and Earth's equatorial plane, varying between ±23.45° throughout the year.

Q2: How do I find my latitude?
A: Use GPS coordinates or online maps. Positive for north, negative for south.

Q3: What's the maximum possible daylight hours?
A: 24 hours at poles during summer solstice, 12 hours at equator year-round.

Q4: Why does the formula use arccos?
A: It calculates the angle when the sun crosses the horizon based on latitude and declination.

Q5: How accurate is this calculation?
A: It provides theoretical maximum daylight; actual daylight may vary due to atmospheric refraction and terrain.

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