Sun Angle Calculator

Sun Angle Calculator — Free Solar Altitude & Azimuth Tool

Calculate precise sun position for any location, date, and time. Essential for solar panel placement, shading analysis, and optimal system design.

About This Tool

Why Use a Sun Angle Calculator for Solar Design?

Understanding the sun's position at any time of day and year is fundamental to solar design. This calculator gives you precise altitude and azimuth data for shading analysis, panel orientation, and row spacing calculations.

Precise Solar Position
Calculates solar altitude (elevation) and azimuth angles using the solar position algorithm for any latitude, longitude, date, and time.
Year-Round Analysis
View sun path data for any day of the year to understand seasonal variation in sun position and daylight hours.
Shading Analysis Aid
Determine when and where shadows fall to identify potential shading issues from trees, buildings, or other obstructions on a solar site.
When to Use

When Do You Need a Sun Angle Calculator?

Understanding sun position is fundamental to solar design. Use this calculator when:

Shading Analysis
Determine exactly when nearby trees, buildings, or chimneys will cast shadows on your proposed panel location. Check winter solstice angles for worst-case shading scenarios.
Row Spacing Design
For ground-mount and flat-roof arrays, calculate the minimum row spacing to prevent inter-row shading using the winter solstice solar altitude angle at your location.
Panel Orientation Optimization
Verify that your panel azimuth and tilt are optimized for your location's sun path. Non-south-facing roofs may benefit from seasonal tilt adjustments.
How To Use

How to Use the Sun Angle Calculator

1
Enter Your Location

Input your location's latitude and longitude, or use the auto-detect feature for your current location.

2
Select the Date

Choose the date you want to analyze, or use today's date as the default.

3
Choose a Time

Select a specific time or view the full-day sun path from sunrise to sunset.

4
Review Solar Angles

Review the solar altitude (height above horizon) and azimuth (compass direction) angles displayed in the results.

5
Apply to Your Project

Use the results for panel tilt optimization, shading analysis, or site survey documentation.

Understanding Results

What Your Results Mean

Solar Altitude

The angle of the sun above the horizon in degrees. 0° = horizon, 90° = directly overhead. Determines shadow length and solar intensity.

Solar Azimuth

The compass bearing of the sun in degrees. 0° = North, 90° = East, 180° = South, 270° = West. Determines which direction shadows point.

Solar Declination

The angle between the sun and the celestial equator, ranging from -23.45° to +23.45° throughout the year. Drives seasonal variation.

Sunrise / Sunset Times

Exact times when the sun crosses the horizon, determining available solar production hours for the selected date and location.

Solar Noon

The time when the sun reaches its highest altitude — the moment of maximum solar intensity and shortest shadows.

Methodology

How We Calculate Sun Position

Our calculator uses established astronomical formulas to compute the sun's position based on your geographic coordinates, date, and time.

Solar Declination: δ = 23.45° × sin(360/365 × (284 + day_of_year))

Hour Angle: ω = 15° × (solar_time - 12)
  where solar_time accounts for equation of time and longitude correction

Solar Altitude: sin(α) = sin(φ) × sin(δ) + cos(φ) × cos(δ) × cos(ω)
  where φ = latitude

Solar Azimuth: cos(A) = (sin(δ) - sin(α) × sin(φ)) / (cos(α) × cos(φ))

Sunrise/Sunset: When altitude = 0°,
  ω₀ = arccos(-tan(φ) × tan(δ))

Worked example: At 35°N latitude (Charlotte, NC) on June 21 (summer solstice): Solar noon elevation angle = 90° − 35° + 23.45° = 78.45°. On December 21 (winter solstice): 90° − 35° − 23.45° = 31.55°. Optimal fixed tilt = latitude = 35°. A 35° tilt captures 98.5% of optimal annual yield. Adjusting to 25° boosts summer output by ~4% but reduces winter generation by ~9%.

Calculations sourced from SurgePV’s Sun Angle Calculator — surgepv.com/tools/sun-angle-calculator/

Reference

Solar Noon Altitude by US City

Maximum sun altitude angles at solar noon for major US cities on key dates.

CityLatitudeSummer SolsticeEquinoxWinter Solstice
Miami, FL25.8°N87.7°64.2°40.8°
Houston, TX29.8°N83.7°60.2°36.8°
Phoenix, AZ33.4°N80.1°56.6°33.2°
Los Angeles, CA34.1°N79.4°55.9°32.5°
Atlanta, GA33.7°N79.8°56.3°32.8°
Denver, CO39.7°N73.8°50.3°26.8°
New York, NY40.7°N72.8°49.3°25.8°
Chicago, IL41.9°N71.6°48.1°24.6°
Boston, MA42.4°N71.1°47.6°24.1°
Seattle, WA47.6°N65.9°42.4°18.9°
Pro Tips

Sun Angle Tips for Solar Professionals

Always Design for Winter Solstice

The winter solstice (Dec 21) has the lowest sun altitude and longest shadows. If your system is shade-free on this date, it will be shade-free year-round. This is your worst-case design point.

Magnetic vs. True North

Compasses point to magnetic north, which differs from true north by the magnetic declination (up to 20° in some US locations). Always use true north for azimuth calculations.

Shadow Length for Row Spacing

Row spacing = panel height / tan(winter solstice altitude). For a 4-foot-high panel in New York (altitude 25.8°), minimum spacing = 4 / tan(25.8°) = 8.3 feet between rows.

Check 9 AM to 3 PM Window

80% of daily solar energy is captured between 9 AM and 3 PM. Focus shading analysis on this 6-hour window. Partial morning/evening shade has minimal production impact.

FAQ

Frequently Asked Questions

Sun angle data is essential for three things — tilting panels for maximum energy capture, identifying shading from nearby objects, and determining row spacing in ground-mount or flat-roof arrays to avoid inter-row shading.

At solar noon, altitude = 90° - |latitude - declination|. In New York (40.7°N) on the summer solstice (declination +23.45°), solar noon altitude = 90° - |40.7 - 23.45| = 72.75°.

The sun's maximum altitude varies by ±23.45° between summer and winter solstices. The sun is highest on June 21st and lowest on December 21st. This affects daily energy production by 30–50% between seasons.

Azimuth tells you which direction the sun is at any time. For shading analysis, you can determine exactly when a tree or building will cast a shadow on your panels. For panel orientation, you want panels facing true south (180°) in the Northern Hemisphere.

To prevent inter-row shading, calculate the shadow length at winter solstice solar noon. Shadow length = panel height / tan(altitude angle). Add this as minimum row spacing.

The calculator uses solar time (based on actual sun position) rather than clock time. Solar noon may differ from 12:00 PM clock time by up to an hour or more depending on your time zone position and DST.

Win your next project in just minutes.

Connect with a specialist for personalized insights and support tailored to your solar business needs.
Book Demo
UX designer