Sun Angle Calculator
Free calculate solar altitude angle, azimuth angle, and sun position for any location and time. Get instant, accurate results with our easy-to-use calculator.
Input Parameters
Degrees (-90 to 90, negative for South)
Degrees (-180 to 180, negative for West)
UTC offset (e.g., -5 for EST, +1 for CET)
Results
Enter parameters to calculate sun angle
Sun Angle Formulas
Solar Altitude (α)
sin(α) = sin(δ) × sin(φ) + cos(δ) × cos(φ) × cos(H)
Where:
- • δ = solar declination
- • φ = latitude
- • H = hour angle
Solar Azimuth (A)
cos(A) = (sin(δ) - sin(α) × sin(φ)) / (cos(α) × cos(φ))
Solar Declination
δ = 23.45° × sin(360° × (284 + n) / 365)