Calculateur de Durée du Jour

Calculez la durée d'ensoleillement pour une date et un lieu donnés.

°
°

Daylight Hours

14.92 hrs

Night Hours9.08 hrs

Daylight Hours vs Latitude

Formule

## Daylight Duration The number of hours between sunrise and sunset depends on latitude and the Sun's declination (which changes through the year). ### Formula **D = (2/15) × arccos(-tan(φ) × tan(δ))** hours where φ = latitude and δ = solar declination (both in degrees, converted to radians for calculation). Solar declination ranges from -23.44° (Dec solstice) to +23.44° (Jun solstice).

Exemple Résolu

New York (40.7°N) at summer solstice (declination = 23.44°).

  1. 01cos(H) = -tan(40.7°) × tan(23.44°)
  2. 02= -0.860 × 0.433 = -0.3726
  3. 03H = arccos(-0.3726) = 111.86°
  4. 04D = 2 × 111.86 / 15 = 14.91 hours of daylight

Questions Fréquentes

What declination should I use?

Solar declination varies from +23.44° (June solstice) to -23.44° (December solstice). At equinoxes it is 0°, giving exactly 12 hours everywhere.

What happens at the Arctic Circle?

At 66.56° latitude, the formula gives 24 hours at summer solstice (midnight sun) and 0 hours at winter solstice (polar night).

Does this include twilight?

No. This gives centre-of-disc sunrise to sunset. Civil twilight adds roughly 30-40 minutes of usable light at each end.

Calculatrices Associées