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Sunrise Sunset Calculator

Solar noon is almost never at twelve.

Work out Sunrise Sunset. Solar noon is almost never at twelve. States the assumption instead of hiding it.

Written and maintained by Mohit PatelLast checked August 4, 2026How we build these
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Sunrise and sunset (local)

04:43 – 21:21

16.64 hours of daylight · solar noon 13:02

Sunrise (local)04:43
Sunset (local)21:21
Day length16.641 hours
Solar noon (local)13:02
Civil twilight begins03:55
Civil twilight ends22:09
Sunrise (UTC)03:43
Sunset (UTC)20:21
Solar declination23.452°
Equation of time-1.33 minutes
Maximum sun altitude61.95°
ConditionsThe sun rises and sets normally today.
Solar time against clock timeSolar declination is 23.45° and the equation of time is -1.33 minutes today. Solar noon at -0.13° longitude falls at 13:02 local — not 12:00, because clock time is a time zone and solar time is a longitude. The equation of time is why sundials run up to 16 minutes fast or 14 minutes slow depending on the date, and why the earliest sunset is not on the shortest day.

Sunrise is defined as the moment the upper limb of the sun appears, and the calculation uses a zenith of 90.833° to account for both the sun's radius and atmospheric refraction. That correction is worth several minutes at temperate latitudes and far more near the poles. Solar noon is rarely at 12:00, for two reasons: clock time is a time zone spanning up to 15° of longitude, and the equation of time shifts solar noon by up to 16 minutes across the year. Together they are why the earliest sunset is not on the shortest day. Civil twilight — the sun 6° below the horizon — is the practical limit of useful outdoor light, and it is what most legal definitions of night are built on.

How the Sunrise Sunset Calculator works

Sunrise, sunset, solar noon, civil twilight and day length from latitude, longitude and day of year, with the equation of time and solar declination shown — and polar day and night handled.

Also known as: what time is sunrise here · day length by latitude · when does civil twilight end · why is solar noon not at 12

Frequently asked questions

How is sunrise calculated?

From the sun's declination and the observer's latitude, using a zenith of 90.833° — which accounts for both the sun's radius and atmospheric refraction. That correction is worth several minutes.

Why isn't solar noon at 12:00?

Two reasons: clock time is a time zone spanning up to 15° of longitude, and the equation of time shifts solar noon by up to 16 minutes across the year.

What is the equation of time?

The difference between clock time and sundial time, caused by Earth's elliptical orbit and axial tilt. It is why the earliest sunset is not on the shortest day.

What is civil twilight?

The period when the sun is up to 6° below the horizon — the practical limit of useful outdoor light, and what most legal definitions of night are built on.

What happens above the Arctic Circle?

The sun may not set at all in summer or rise at all in winter. The formula returns no solution for the hour angle, and the page reports midnight sun or polar night rather than a time.

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