Sunrise and Sunset Calculator

Latitude

Longitude

Time zone, UTC±

Date

Result

Sunrise06:33
Sunset18:42
Length of day12 h 9 min
Solar noon12:38
Civil twilight05:56 — 19:19
Change+4.6 min by tomorrow

Solar noon is almost never twelve o'clock

Calculates sunrise, sunset, solar noon and civil twilight for any coordinates and date, along with how the day is changing.

Sunrise depends on three things: where you are along the meridian, how far you are from the equator, and the date. Clock time then adds a fourth, because time zones are political rather than solar.

That is why solar noon in Moscow falls near half past twelve rather than at twelve: the city sits west of the meridian its zone is named after. The calculation follows the standard NOAA formulas and is good to about a minute.

What this calculator shows

Sunrise, sunset and solar noon in local clock time
The length of the day and how much it changes by tomorrow
The civil twilight window at each end of the day

What to keep in mind

Sunrise is taken at a zenith of 90.833°, which allows for refraction and for the radius of the solar disc.
The horizon is assumed flat. Mountains to the east delay sunrise noticeably, and no formula knows about them.

FAQs

Why is the equinox day longer than twelve hours?

Two reasons together. Sunrise is the moment the upper edge appears rather than the centre, and refraction raises the apparent position of the sun by about half a degree.

Why is solar noon not at twelve?

Because a time zone covers fifteen degrees of longitude and the whole zone keeps one clock. Add the equation of time, which swings solar noon by up to a quarter of an hour across the year.

What is civil twilight?

The period when the sun is up to six degrees below the horizon: still light enough to read outdoors and to see the brightest stars.

Does it work above the Arctic Circle?

Yes. When the sun neither rises nor sets, the tool says so and names it as polar day or polar night rather than returning a time.

Worked example

Moscow at the equinox

Input: 55.75° N, 37.62° E, UTC+3, 20 March 2026

Output: sunrise 06:33, sunset 18:42

Note: The day comes to 12 hours 9 minutes — longer than the twelve the equinox is supposed to give, because sunrise counts the first edge of the disc and the atmosphere lifts the image.

Useful links

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Sunrise and Sunset Calculator

Result

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