Sunrise Calculator

Calculate the approximate sunrise time for any location based on latitude and day of year using the standard sunrise equation.

SUNRISE TIME (LOCAL)
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Solar Noon
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Declination
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Day Length
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Hour Angle
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What Determines Sunrise Time?

Sunrise time depends on three primary factors: your geographic latitude, the time of year (which determines the sun's declination), and your longitude relative to your time zone's central meridian. As Earth orbits the sun with its axis tilted at 23.45 degrees, the point where the sun rises on the horizon shifts north and south throughout the year.

At the equator, sunrise times vary by only about 30 minutes throughout the year. At higher latitudes the variation becomes extreme, with Arctic regions experiencing 24-hour daylight in summer and 24-hour darkness in winter. This calculator uses the standard astronomical sunrise equation to compute when the sun's upper limb crosses the horizon.

Sunrise Equation

cos(ω) = -tan(φ) × tan(δ)

where ω is the sunrise hour angle, φ is latitude, and δ is solar declination. Sunrise occurs at solar noon minus ω/15 hours.

δ = 23.45° × sin(360/365 × (284 + n))

Sunrise Times by Season (40.7°N, UTC-5)

DateApprox SunriseDay Length
March 20 (Equinox)6:00 AM12h 0m
June 21 (Solstice)4:28 AM15h 6m
September 22 (Equinox)6:00 AM12h 0m
December 21 (Solstice)7:16 AM9h 15m

Factors Affecting Sunrise

  • Atmospheric refraction: Bends sunlight so the sun appears about 0.83 degrees higher than its geometric position, making sunrise appear earlier.
  • Elevation: Higher elevations see the sun sooner because the horizon is lower.
  • Equation of time: Earth's elliptical orbit causes solar noon to shift by up to 16 minutes from clock noon.
  • Longitude within time zone: Cities on the eastern edge of a time zone see sunrise earlier than those on the western edge.

Frequently Asked Questions

Why does sunrise time vary throughout the year?

Earth's axial tilt of 23.45 degrees causes the sun's declination to change as Earth orbits. This changes the arc the sun traces across the sky, affecting both when it rises and how long it stays above the horizon.

What is civil twilight vs sunrise?

Sunrise is when the sun's upper edge crosses the horizon. Civil twilight begins when the sun is 6 degrees below the horizon - there is enough light for outdoor activities. Nautical twilight (12 degrees) and astronomical twilight (18 degrees) are darker stages before sunrise.