Equation of Time Calculator

Calculate the Equation of Time (EoT) - the difference between apparent solar time (sundial time) and mean solar time (clock time). This varies throughout the year due to Earth's orbital eccentricity and axial tilt.

Equation of Time

Equation of Time

+3m 52s

3.874 minutes

Interpretation

Sundials run 3.9 minutes FAST (sun ahead of mean time)

Contributing Factors

Eccentricity Effect

5.544 min

Elliptical orbit

Obliquity Effect

-8.961 min

Axial tilt (23.5 deg)

Solar Declination

19.3718 deg

Day of Year

138

Annual Extremes

Maximum Fast (Sundial ahead)

+16.38 min

Around day 305 (early November)

Maximum Slow (Sundial behind)

-14.26 min

Around day 45 (mid February)

When EoT = 0 (Sundial matches clock)

~April 15
~June 13
~September 1
~December 25

About the Equation of Time

The Equation of Time is the difference between apparent solar time and mean solar time. Two factors cause this variation: (1) Earth's elliptical orbit causes it to move faster at perihelion (January) and slower at aphelion (July), and (2) the 23.5 degree tilt of Earth's axis means the sun's apparent motion along the ecliptic projects onto the celestial equator at varying rates. The combination produces a maximum variation of about +/- 16 minutes throughout the year.

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