Sunrise and Sunset Calculator
Calculate sunrise, solar noon, and sunset times, day length, and the sun's noon altitude from latitude, longitude, date, and time zone using the NOAA solar position algorithm.
Input
Enter latitude, longitude, date, and time zone to compute that day''s sunrise, solar noon, and sunset times and the length of the day.
North is positive, south is negative (minus 90 to 90)
East is positive, west is negative (minus 180 to 180)
UTC offset in hours (Japan is plus 9, US Eastern Standard is minus 5)
Result
Sunrise
04:26
Sunset
19:00
Solar noon
11:43
Day length
14 h 35 min
Noon altitude
77.748461 deg
Declination
23.437961 deg
Equation of time
-1.742699 min
Approximation based on the NOAA solar position algorithm. Actual times may differ by a few minutes depending on elevation, terrain, and atmospheric conditions.
How it works
- Based on the NOAA solar position algorithm: the Julian day is used to derive the sun's ecliptic longitude, declination, and equation of time, then each time is computed.
- Sunrise and sunset use a zenith angle of 90.833 degrees, which accounts for the sun's apparent radius and atmospheric refraction.
- Solar noon in minutes = 720 minus 4 times longitude minus the equation of time plus time zone times 60; sunrise and sunset are offset from noon by the hour angle H in minutes.
- The sun's noon altitude equals 90 minus the absolute value of latitude minus declination, in degrees.
- At high latitudes the sun may stay above the horizon all day (midnight sun) or below it all day (polar night); in those cases no times are shown.
- Results are approximations and may differ from observed times by a few minutes due to elevation, terrain, and atmospheric conditions.
- Enter the time zone as a UTC offset in hours, for example +9 for Japan or minus 5 for US Eastern Standard Time.
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Sunrise and Sunset Calculator