Home Back

Calculate Day Length From Latitude

Day Length Equation:

\[ DL = 2 \times \frac{\arccos(-\tan \phi \tan \delta) \times \frac{180}{\pi}}{15} \]

degrees
degrees

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Day Length Calculation?

The day length calculation determines the number of daylight hours at a given latitude for a specific date (represented by solar declination). It's important for agriculture, ecology, and understanding seasonal variations in sunlight.

2. How Does the Calculator Work?

The calculator uses the day length equation:

\[ DL = 2 \times \frac{\arccos(-\tan \phi \tan \delta) \times \frac{180}{\pi}}{15} \]

Where:

Explanation: The equation calculates the time between sunrise and sunset based on the angle of the sun relative to the Earth's surface at a given latitude.

3. Importance of Day Length Calculation

Details: Day length affects plant growth, animal behavior, energy consumption patterns, and has cultural significance in many societies. Accurate calculation is essential for agricultural planning and solar energy projects.

4. Using the Calculator

Tips: Enter latitude between -90° (South Pole) and 90° (North Pole). Solar declination ranges from -23.45° (December solstice) to +23.45° (June solstice). Values outside these ranges will be automatically adjusted.

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 between ±23.45° throughout the year.

Q2: How do I find the solar declination for a specific date?
A: Solar declination can be calculated using specialized formulas or found in astronomical tables. Common values: 0° at equinoxes, +23.45° at June solstice, -23.45° at December solstice.

Q3: Why does day length change with latitude?
A: The Earth's axial tilt causes different latitudes to receive sunlight for different durations as the Earth orbits the Sun.

Q4: What happens at extreme latitudes?
A: Near the poles, day length can be 24 hours (midnight sun) or 0 hours (polar night) during solstices. The equation handles these cases mathematically.

Q5: Can this calculate twilight durations?
A: No, this calculates only the time between sunrise and sunset. Twilight calculations require additional parameters for different definitions of twilight.

Calculate Day Length From Latitude© - All Rights Reserved 2025