GEOGRAPHY & CARTOGRAPHY CALCULATOR Polar Night Duration A precise tool.
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What is the Polar Night Duration & How does it work?
Polar night occurs when the Sun stays below the horizon for a full 24‑hour period. This phenomenon is confined to latitudes inside the Arctic and Antarctic circles, where the tilt of Earth’s axis prevents the Sun from rising during the winter months. The duration of the polar night depends primarily on two geometric factors: the observer’s latitude (Ο†) and Earth’s axial tilt (Ξ΅ β‰ˆ 23.44Β°). As the planet orbits the Sun, the solar declination changes, and at the winter solstice the Sun’s declination reaches –Ρ for the Northern Hemisphere (and +Ξ΅ for the Southern Hemisphere). Using spherical astronomy, the hour angle at sunrise/sunset is given by cosβ€―Hβ‚€ = –tanβ€―Ο†β€―Β·β€―tanβ€―Ξ΄. At the solstice Ξ΄ = –Ρ, and the length of daylight can be converted to time. Subtracting this from 24β€―h yields the length of the polar night.
D_{night}=24-frac{2}{15}cdotfrac{180}{pi},arccosbigl(-tanvarphi,tanvarepsilonbigr)
Ο† = latitude (Β°) Ρ = Earth’s axial tilt (Β°)
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Frequently Asked Questions
What is polar night?
Polar night occurs when the Sun stays below the horizon for a full 24-hour period, affecting latitudes within the Arctic and Antarctic circles.
How does latitude affect polar night duration?
The closer you are to the poles, the longer the polar night lasts. At the poles themselves, it can last up to six months.
What is Earth’s axial tilt?
Earth’s axial tilt is approximately 23.44 degrees, which influences the duration and occurrence of polar nights.
When does polar night occur?
Polar night occurs during the winter months when the Earth’s axis is tilted away from the Sun in the Arctic or toward it in the Antarctic.
How can I calculate the duration of polar night for my location?
Use this calculator by inputting your latitude to determine how long you will experience polar night each year.
What is solar declination, and why is it important?
Solar declination is the angle between the Sun’s rays and Earth’s equatorial plane. It changes throughout the year due to Earth’s orbit around the Sun, affecting the duration of polar night.
Are there any specific times of the year when polar night is most pronounced?
Yes, polar night is most pronounced during the winter solstice when the Earth’s axis is tilted furthest away from the Sun in the Arctic or toward it in the Antarctic.

Results are for informational purposes only and do not constitute professional advice.