Daylight duration geometric calculator

Calculate geometric daylight duration with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use geometric daylight duration to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Latitude (degrees)
51.5
Solar declination (degrees)
10
Geometric daylight duration (hours)
13.707645

Try another scenario

Latitude (degrees)
56.650000000000006
Solar declination (degrees)
10
Geometric daylight duration (hours)
14.07209
Calculation method

Calculation method

Geometric daylight duration (hours)

Hour-angle horizon geometry, solar centre altitude zero; polar conditions handled.

Symbols and units
a
Latitude (degrees)
b
Solar declination (degrees)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • No refraction, solar disc radius, terrain or civil twilight. Pole/equinox singularity excluded. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. No refraction, solar disc radius, terrain or civil twilight. Pole/equinox singularity excluded.
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