Sun Position Calculator
Calculate the precise sun position calculator values including azimuth and elevation angles based on your specific geographic coordinates and time.
Current Solar Elevation (Altitude)
0.00°The sun is currently above the horizon.
Visual Sun Position (Compass View)
Orange dot represents the sun's azimuth direction.
Hourly Sun Position Table
| Time | Elevation (°) | Azimuth (°) | Status |
|---|
Table shows the sun position calculator results for the selected date at 2-hour intervals.
What is a Sun Position Calculator?
A sun position calculator is a specialized digital tool used to determine the coordinate geometry of the sun relative to a specific point on Earth at any given time. By processing variables such as latitude, longitude, date, and time, the sun position calculator provides two primary coordinates: azimuth and elevation. Azimuth represents the horizontal angle of the sun measured clockwise from North, while elevation (or altitude) indicates the vertical angle above the horizon.
Architects, solar engineers, and photographers rely heavily on a sun position calculator to predict lighting conditions and optimize energy collection. A common misconception is that the sun always rises exactly in the east and sets in the west; however, as our sun position calculator demonstrates, this only occurs during the equinoxes. Throughout the year, the sun's path shifts significantly due to the Earth's axial tilt.
Sun Position Calculator Formula and Mathematical Explanation
The mathematics behind a sun position calculator involves spherical trigonometry and astronomical algorithms. The process typically follows these steps:
- Calculate the fractional year (gamma) in radians.
- Estimate the Equation of Time (EqT) to account for irregularities in Earth's orbit.
- Calculate Solar Declination, the angle between the rays of the sun and the plane of the Earth's equator.
- Compute the Hour Angle (HA) based on local solar time.
- Apply trigonometric functions to find Elevation and Azimuth.
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| φ (Phi) | Latitude | Degrees | -90° to 90° |
| δ (Delta) | Solar Declination | Degrees | -23.44° to 23.44° |
| ω (Omega) | Hour Angle | Degrees | -180° to 180° |
| α (Alpha) | Solar Elevation | Degrees | -90° to 90° |
Practical Examples (Real-World Use Cases)
Example 1: Solar Panel Installation
A homeowner in Los Angeles (Lat: 34.05) uses the sun position calculator on June 21st at noon. The calculator shows an elevation of 79.4°. This data helps them determine the optimal seasonal tilt calculator settings for their panels to maximize absorption during peak summer hours.
Example 2: Architectural Shading
An architect designing a building in London uses the sun position calculator to check the shadow length calculator projections for December 21st. Understanding that the sun reaches a maximum elevation of only 15° allows them to place windows correctly for passive solar heating without creating excessive glare.
How to Use This Sun Position Calculator
Using our professional sun position calculator is straightforward:
- Enter Coordinates: Input your Latitude and Longitude. You can find these on any map service.
- Set the Date: Use the date picker to select the specific day you wish to analyze.
- Set the Time: Input the local time. The sun position calculator will adjust based on your UTC offset.
- Review Results: The primary display shows the elevation angle. The azimuth is shown in the detailed cards below.
- Analyze the Chart: The SVG compass provides a visual representation of where to look in the sky.
Key Factors That Affect Sun Position Calculator Results
- Latitude: Your distance from the equator is the most significant factor in determining the sun's maximum daily altitude.
- Day of the Year: The Earth's 23.5-degree tilt causes the sun to appear higher or lower in the sky depending on the season, a key metric for daylight duration calculator tools.
- Time of Day: The sun's position moves approximately 15 degrees per hour across the sky.
- Atmospheric Refraction: Near the horizon, the atmosphere bends light, making the sun appear slightly higher than it physically is. Our sun position calculator accounts for standard refraction.
- Equation of Time: The difference between apparent solar time and mean solar time can vary by up to 16 minutes throughout the year.
- Longitude & Timezones: Your position within a timezone affects the local time of "Solar Noon." Check sunrise sunset times to see how this varies.
Frequently Asked Questions (FAQ)
In tropical regions, when the sun passes nearly overhead, the azimuth must "swing" from East to West very quickly. The sun position calculator accurately reflects this rapid transition.
Yes, the sun position calculator is ideal for identifying the solar azimuth for panel orientation. You might also want to consult a solar panel efficiency calculator.
Solar noon is the moment the sun reaches its highest point in the sky for a specific location. It rarely happens exactly at 12:00 PM local time.
Yes, at night, the elevation is negative. A sun position calculator will show negative values when the sun is below the horizon.
The Zenith angle is simply 90 degrees minus the elevation angle. It represents the angle from directly overhead.
Our tool uses the standard NOAA solar algorithms, which are accurate to within 0.01 degrees for most dates and locations.
You must manually adjust the Timezone Offset input if Daylight Savings is active in your region (e.g., change -5 to -4).
By checking astronomical dawn calculator data, you can see the sun sits at -18° elevation during that period.
Related Tools and Internal Resources
- Solar Panel Efficiency Calculator – Optimize your energy yield based on sun angles.
- Daylight Duration Calculator – Calculate total hours of sunlight for any day.
- Sunrise Sunset Times – Get precise daily timings for your location.
- Astronomical Dawn Calculator – Determine when light first appears in the sky.
- Shadow Length Calculator – Predict shadow sizes based on the sun position calculator elevation.
- Seasonal Tilt Calculator – Find the best angle for solar hardware across seasons.