Sunrise and Sunset Calculator
Find sunrise, sunset, solar noon and day length for any latitude, longitude and date, on your own clock, with polar day and night stated plainly.
Result
Sunrise: 5:43 AMEstimate
Times are for a flat horizon with standard refraction, to about a minute below 72° latitude; hills, buildings and the weather shift what you see.
- Sunset
- 8:37 PMEstimate
- Solar noon
- 1:09:54 PMEstimate
- Day length
- 14:53:52Estimate
https://calcgallery.com/weather/sunrise-sunset-calculator/
Results come from the published equations applied to the values you enter. They are not electrical design, conductor sizing, laboratory safety or medical guidance. Weather indices describe a standard person in standard conditions and are not a forecast. Where codes apply, local rules vary and must be checked. Read the full disclaimer
How to use the Sunrise and Sunset Calculator
- Enter the date and the place as latitude and longitude in decimal degrees, north and east positive, south and west negative.
- Enter your clock's offset from UTC on that date, with daylight saving if it applies, so the times come out as your clock shows them.
- Read sunrise, sunset, solar noon and the length of the day.
How the times are worked out
The page follows the equations of NOAA’s solar calculator, which come from Jean Meeus’s Astronomical Algorithms. For the date it finds the sun’s declination, how far north or south of the equator it is, and the equation of time, how far the sun runs ahead of or behind a clock. The hour angle H is how far the Earth turns between the sun crossing the meridian and the sun reaching the horizon:
cos H = cos 90.833° ÷ (cos latitude × cos declination) − tan latitude × tan declinationsunrise (UTC minutes) = 720 − 4 × (longitude + H) − equation of timesunset (UTC minutes) = 720 − 4 × (longitude − H) − equation of timeEach is worked out twice, the second time using the sun’s position at the first answer, which is what NOAA does. Adding your UTC offset turns the result into your clock time.
Polar day and polar night
When the cosine of H would have to be greater than 1, the sun never climbs to the horizon that day, and when it would be less than −1 the sun never drops to it. The page states which rather than showing a time. At high latitudes an event can also fall just after midnight: in Reykjavik on 21 June the sun sets a few minutes into the next day, and the page notes it.
Choosing the offset
Your offset is the one your clock uses on the date you enter. Places that use daylight saving have two offsets a year, so a winter date and a summer date in the same city need different ones. Longitude itself does not set the offset: Spain uses the same clock as Germany although it lies far to the west, so its sunrises and sunsets come late by the clock.
With your numbers
- Hour angle H where the sun’s centre is 0.833° below the horizon: cos H = cos 90.833° ÷ (cos latitude × cos declination) − tan latitude × tan declination
- Solar noon, when the sun crosses the meridian: 1:09:54 PM
- Sunrise and sunset, H before and after the meridian, worked out again at the first estimate: 5:43 AM and 8:37 PM
Quick reference
Times are for a flat horizon with standard refraction, to about a minute below 72° latitude; hills, buildings and the weather shift what you see.
| Example | Sunrise |
|---|---|
| Washington, DC, 21 June 2026 (UTC−4) | 5:43 AM |
| Greenwich, 21 June 2026 (UTC+1) | 4:43 AM |
| Greenwich, 21 December 2026 (UTC) | 8:03 AM |
| The equator at 0°, 20 March 2026 (UTC) | 6:04 AM |
| Sydney, 25 September 2026 (UTC+10) | 5:41 AM |
| Honolulu, 25 September 2026 (UTC−10) | 6:21 AM |
| Reykjavik, 21 June 2026 (UTC) | 2:55 AM |
| Tromsø, 21 June 2026: polar day | |
| Tromsø, 21 December 2026: polar night |
Common questions about the Sunrise and Sunset Calculator
- Why does the page ask for a UTC offset instead of a city?
- Turning a city into a clock needs a time-zone database, whose rules change with local law, and the page keeps none. You type the offset your clock uses on that date, including daylight saving, and the page does the rest. For New York in summer that is −4, for London in summer 1.
- What counts as sunrise?
- The moment the sun first appears on a flat, level horizon. NOAA’s calculator takes that as the sun’s centre standing 0.833° below the horizon, an allowance for refraction, the bending of light through the air that lifts the sun into view before it is geometrically up.
- How accurate are the times?
- NOAA, whose equations the page uses, says within a minute between latitudes 72° north and south and within ten minutes beyond. Real refraction depends on temperature and pressure, and hills, buildings or the sea horizon from a height all change what you see, so treat the times as to the nearest minute or two.
- Why is there no sunrise at all?
- Near the poles the sun can stay up all day in summer, polar day, or stay below the horizon all day in winter, polar night. The page says which, gives a day length of 24 hours or none, and still shows solar noon, when the sun is highest or least far below the horizon.
- Why is solar noon not at 12:00?
- Clock time is set for a whole time zone, so only places on the zone’s central meridian see the sun highest near 12:00, and daylight saving moves it an hour later. On top of that, the equation of time, from the tilt of the Earth and its elliptical orbit, moves solar noon by up to about a quarter of an hour through the year.