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Solar Noon & Day Length Calculator

Result

Calculated result -22.8620595407 Based on the values entered.
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Solar Noon & Day Length Calculator — free online calculator.

Formula

Declination = 23.45° × sin(π × (284 + DOY) / 182)
  • Solar Noon & Day Length Calculator calculates its result from Doy. It uses the formula Declination = 23.45° × sin(π × (284 + DOY) / 182). Change any input to recalculate the result instantly.
  • The main inputs are Doy. Enter them in the units and format shown in the calculator.
  • Use the units, labels and assumptions shown beside each input so the formula is applied consistently.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Solar Noon & Day Length

Inputs
  • Doy: 2

Using Doy = 2, the calculated result is -22.8620595407.

Sample result: Calculating…

Frequently asked questions

What does the Solar Noon & Day Length calculate?

Solar Noon & Day Length Calculator — free online calculator.

Which values should I enter?

Enter Doy using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Declination = 23.45° × sin(π × (284 + DOY) / 182).

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026