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Solar Noon Calculator

Work out solar noon instantly with clear inputs, formula shown and shareable results.

About Solar Noon Calculator

Solar noon is when the Sun crosses the local meridian, and it drifts from clock noon for two reasons: longitude offset within the time zone at four minutes per degree, and the equation of time, which swings plus or minus 15 minutes over the year because Earth's orbit is elliptical and its axis tilted.

Formulas

Solar noon

minutes = 720 - 4 x longitude - equation of time + timezone x 60

Equation of time

EoT = 9.87 sin(2B) - 7.53 cos(B) - 1.5 sin(B), B = 360(n - 81)/364

Worked example

With the default values below, Solar Noon Calculator returns Solar Noon of 787.5. Change any input above and every figure here is recalculated in your browser.

Inputs used

Longitudeaccepts -180–180 deg
-1.5 deg
Time zone offset from UTCaccepts -12–14 h
1 h
Date
2026-06-21

Results

Solar Noon
787.5 min after local midnight
Solar Noon Clock Time
13:08
Equation Of Time
-1.50 min
Longitude Correction
6.00 min

Step by step

  1. 1Values used
  2. 2Solar noon
  3. 3Equation of time
  4. 4Solar Noon= 787.5 min after local midnight
  5. 5Solar Noon Clock Time= 13:08
  6. 6Equation Of Time= -1.50 min
  7. 7Longitude Correction= 6.00 min

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Why is solar noon rarely at 12:00?

Time zones are wide, so most places sit degrees away from their standard meridian, and the equation of time adds up to a further quarter hour either way.

When is the equation of time largest?

About +16 minutes in early November and -14 minutes in mid February, which is why sunset times shift asymmetrically around the solstice.

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