Sun Angle Calculator
Quickly estimate solar declination and noon elevation at your latitude.
How to Use This Calculator
1
Enter your latitude
Positive for north, negative for south. Example: New York ≈ 40.7°.
2
Select the day number
Use 1–366. Approximate seasons: Mar 20 ≈ 79, Jun 21 ≈ 172, Sep 23 ≈ 266, Dec 21 ≈ 355.
Formula
δ ≈ 23.44° sin(2π (N−81)/365), h_noon ≈ 90° − |φ − δ|
Valid for a quick estimation near solar noon. For hourly positions, account for hour angle and equation of time.
Frequently Asked Questions
How accurate is this?
Typically within a couple of degrees at noon. For precise solar angles use full solar position algorithms.
Can I get sunrise/sunset from this?
No, but see the Sunrise Sunset Calculator for that specific purpose.