Astronomy Calculators

Sun Position Calculator | Solar Azimuth & Elevation

Calculate sun position by date, time, latitude, longitude, and UTC offset. Get solar azimuth, elevation, zenith, declination, sunrise, sunset, and solar noon.
Astronomy Calculator Solar Azimuth & Elevation

Sun Position Calculator

Calculate the sun’s position for any date, time, latitude, longitude, and UTC offset. Get solar azimuth, solar elevation, solar zenith, declination, hour angle, equation of time, sunrise, sunset, solar noon, and daylight length in one place.

A strong sun position calculator should do more than display one angle. It should help people understand where the sun is in the sky, how that location changes through the day and through the year, and why those changes matter in real life. This page is built to do exactly that. You can enter a date, time, latitude, longitude, and UTC offset, then instantly estimate the sun’s azimuth, elevation, zenith angle, declination, sunrise time, sunset time, and solar noon. That makes this page useful not only as a quick solar angle calculator, but also as a practical learning resource for astronomy, solar design, architecture, photography, gardening, surveying, education, and outdoor planning.

The phrase sun position usually refers to where the sun appears in the sky for a given observer at a specific moment. Because the Earth rotates on its axis and orbits the sun, the sun’s apparent path changes constantly. During the day, it moves from east toward west. Across the seasons, its highest daily altitude shifts higher or lower depending on latitude and time of year. That is why the sun rises at different angles in summer and winter, why day length changes across the year, and why solar panel output, shadow length, and outdoor lighting conditions can vary so much from one season to another.

Many people search for a tool like this using phrases such as sun angle calculator, solar position calculator, solar azimuth calculator, solar elevation calculator, sun altitude calculator, sunrise sunset angle calculator, or where is the sun in the sky right now. All of those needs point to the same core question: where is the sun relative to me, and how do I interpret that answer in a practical way? This page answers that question with a live calculator and a detailed guide.

If you are a homeowner, you may be using this calculator to understand sunlight exposure on a roof or patio. If you are a photographer, you may want to predict light direction for portraits, landscapes, or architectural shots. If you work in solar energy, you may be checking seasonal sun angles, solar noon, and daylight duration. If you are a student or teacher, you may be learning how solar declination, hour angle, latitude, and Earth’s tilt affect the sun’s apparent path. If you are simply curious, this calculator is a straightforward way to connect astronomical ideas with everyday observation.

Calculate Sun Position

Enter local date, local time, latitude, longitude, and your UTC offset. Longitude should be positive east and negative west. Latitude should be positive north and negative south.

This calculator is intended for practical educational and planning use. Sunrise and sunset are approximate and use the standard apparent-horizon correction. Terrain, refraction, local obstacles, and weather can change what you actually see.

Your Solar Results

Current Solar Elevation
Enter values and calculate

Your results will show the sun’s apparent position and daily solar events for the selected location and time.

Solar Azimuth
Solar Zenith
Angle from straight overhead
Solar Declination
Seasonal solar latitude
Hour Angle
Negative before solar noon
Equation of Time
Difference from mean solar time
Daylight Length
Approximate daylight duration
Sunrise
Approx. local clock time
Solar Noon
Sun highest that day
Sunset
Approx. local clock time
Elevation Above Horizon
Solar azimuth is shown clockwise from north. Solar elevation is how high the sun is above the horizon. Solar zenith is the complementary angle measured down from directly overhead.

What a Sun Position Calculator Measures

A sun position calculator usually gives you several connected results, not just one. The most commonly requested values are solar azimuth and solar elevation. Solar azimuth tells you the horizontal compass direction of the sun. In this calculator, azimuth is measured clockwise from north. That means north is 0°, east is 90°, south is 180°, and west is 270°. If the sun’s azimuth is around 110°, it is in the eastern to southeastern sky. If the azimuth is around 240°, it is in the southwestern sky.

Solar elevation, also called solar altitude, tells you how high the sun is above the horizon. A positive elevation means the sun is above the horizon. A negative elevation means it is below the horizon. Near sunrise or sunset, elevation is close to 0°. Around solar noon, elevation is usually much higher, though the exact value depends on latitude and season. In tropical and subtropical regions, the sun can climb very high. In high-latitude regions, especially during winter, the midday sun can remain very low.

Another important value is the solar zenith angle. Zenith is the angle between the sun and a line straight overhead. When the sun is directly overhead, zenith is 0°. When the sun is at the horizon, zenith is close to 90°. Because zenith and elevation are complementary, they add up to 90° if the sun is above the horizon. Some industries, especially solar resource and atmospheric science work, use zenith more often than elevation, so a good solar position calculator should provide both.

This page also calculates solar declination, hour angle, equation of time, sunrise, sunset, and solar noon. Declination describes the sun’s apparent latitude relative to Earth’s equator. It changes through the year because Earth’s rotational axis is tilted. Hour angle tells you how far the sun is from local solar noon in angular terms. The equation of time describes the difference between apparent solar time and mean clock time. Sunrise and sunset are estimated using a standard apparent-horizon correction, and solar noon is the moment the sun reaches its highest apparent elevation that day for the selected location.

In practical terms, these values answer common real-world questions. Where should I point a solar panel? When will direct sunlight hit my balcony? How long will a building cast a shadow? What time will the sun clear a nearby roofline? When is the best time for warm side-light in outdoor photography? How high will the sun get in winter compared with summer? Once you understand the outputs, the calculator becomes much more valuable than a simple angle converter.

Key Term

Solar Azimuth

Solar azimuth is the compass direction to the sun measured clockwise from north. It is useful for solar design, photography planning, landscape orientation, and understanding where sunlight will arrive from during a day.

Key Term

Solar Elevation

Solar elevation, or solar altitude, is the angle of the sun above the horizon. High elevation usually means shorter shadows and stronger overhead sunlight. Low elevation often means long shadows and more directional light.

Key Term

Solar Zenith

Solar zenith is measured down from the vertical. It is widely used in solar radiation and atmospheric calculations. A small zenith angle means the sun is high. A large zenith angle means it is low.

Why the Sun’s Position Changes

The sun’s apparent motion is one of the clearest examples of how Earth’s movement shapes what we observe in the sky. On the shortest time scale, the sun appears to move because Earth rotates. That rotation creates the daily cycle of sunrise, noon, afternoon, sunset, and night. If Earth did not rotate, the sun would not seem to travel across the sky the way it does from our perspective on the ground.

On the seasonal time scale, the sun’s apparent path changes because Earth’s axis is tilted relative to its orbital plane. This axial tilt is why the noon sun is much higher in summer and lower in winter for many places on Earth. It is also why day length changes across the year. Near the equator, those seasonal changes are smaller. At higher latitudes, they become far more dramatic. In extreme cases, some locations experience very long summer daylight and very short winter daylight, or even polar day and polar night.

Latitude strongly affects sun position. Two people on the same date at the same clock time but at very different latitudes can see very different solar elevations. The observer closer to the equator usually sees a higher sun. Longitude matters too, because local solar time shifts with position east or west. That is why solar noon is not exactly the same as 12:00 on the clock in many places. Your clock follows time zones and daylight-saving conventions, while the sun follows geometry.

Time of day matters because the Earth keeps rotating. At sunrise, the sun is near the horizon and elevation is near zero. Around morning and afternoon, the elevation climbs or falls. Around solar noon, the sun reaches its maximum daily elevation. The exact clock time of solar noon varies with longitude and the equation of time, which is why a clock noon and a solar noon are often different.

This combination of rotation, tilt, orbit, latitude, and longitude is what gives solar position calculations their structure. A good sun angle calculator translates those astronomical relationships into practical values you can actually use. That is the purpose of this page: not only to compute numbers, but to make those numbers meaningful.

How to Use This Sun Angle Calculator Correctly

The first input is the date. The day of year matters because solar declination changes across the seasons. A June date and a December date can produce very different noon elevations and very different sunrise directions for the same location. That means you should always calculate for the specific day you care about rather than assuming a summer result applies to winter or vice versa.

The second input is the local time. Because the sun moves continuously, even a difference of thirty or sixty minutes can change the result noticeably. This is especially important when you are planning photography, checking facade shading, arranging windows, or predicting when a roof or garden bed will receive direct light.

The third and fourth inputs are latitude and longitude. Latitude is positive in the Northern Hemisphere and negative in the Southern Hemisphere. Longitude is positive east of Greenwich and negative west of Greenwich. Those signs matter. A wrong sign can shift the result drastically. If you are entering coordinates copied from a map, make sure you preserve the correct north/south and east/west sign.

The fifth input is the UTC offset. This is your local clock offset from Coordinated Universal Time. Examples include +4, -5, +1, or +5.5. If your location uses daylight saving time and your current local clock is already shifted, use the offset that matches your chosen local time. In other words, match the offset to the clock time you entered.

After you click Calculate, the tool returns the main solar angles and daily solar events. If you want a quick setup, you can use the current date and time button. If your browser allows location access, the location button can fill latitude and longitude automatically. Even then, it is worth checking the UTC offset, especially if you are calculating for a place different from your current one.

The output values are easiest to interpret when you compare them together. Azimuth tells you the direction. Elevation tells you the height. Zenith tells you how far the sun is from directly overhead. Sunrise and sunset show the daily solar window. Solar noon tells you when the sun reaches peak height. Declination helps explain the season. Hour angle tells you how far before or after solar noon you are. Together, these outputs provide a fuller picture of solar geometry than any single number on its own.

Why People Use a Solar Position Calculator

One of the most common uses is solar panel planning. Solar installers, homeowners, and energy enthusiasts often want to know how high the sun climbs, where it rises and sets, and how sunlight direction changes across the year. These factors affect panel tilt, expected shading, rooftop suitability, and how different roof faces perform. While a full solar engineering workflow requires more than sun angles alone, a sun position calculator is often the first practical step.

Another major use is architecture and building design. The path of the sun affects passive heating, glare, facade performance, window shading, daylighting, and occupant comfort. Designers often need to know when direct sunlight will strike a window wall, how deep an overhang should be, or how long shadows from nearby structures will be. Knowing sunrise, sunset, and solar noon is helpful, but knowing the sun’s elevation and azimuth at specific times is often even more useful.

Photography and filmmaking are other natural use cases. Outdoor creators often care deeply about the angle and quality of sunlight. Low morning and late-afternoon sun can create long shadows and warm side-light. Higher midday sun usually creates shorter shadows and more overhead contrast. A good sun altitude calculator helps creators predict whether the light will be frontal, lateral, backlit, or overhead before they even arrive on location.

Gardening, agriculture, and landscaping also benefit from solar angle planning. If you want to know whether a plant bed will receive enough winter sun, whether a tree will cast afternoon shade on a vegetable area, or whether a wall garden will be sunlit in a specific season, solar position matters. The geometry of sunlight can strongly influence crop health, irrigation demand, heat stress, and the suitability of different planting zones.

Education is another important use. Students learning astronomy, geography, environmental science, architecture, or energy systems often need to connect textbook ideas to observable patterns. A live sun position tool makes concepts like declination, hour angle, seasonal shift, and solar noon much easier to understand. Instead of abstract formulas only, learners can see direct numerical consequences for a real place and time.

Even for simple everyday planning, the tool is useful. You may want to know when a backyard becomes shaded, when direct sunlight reaches a balcony, or whether a hiking route will be exposed in the morning or afternoon. In these cases, a solar position calculator becomes a practical sunlight planner.

How to Interpret Solar Azimuth

Azimuth can be easier to understand if you think in compass terms. An azimuth near 90° means the sun is roughly in the east. An azimuth near 180° means it is roughly in the south. An azimuth near 270° means it is roughly in the west. In the Northern Hemisphere, the midday sun is typically toward the southern part of the sky. In the Southern Hemisphere, it is often toward the northern part of the sky.

This is why azimuth is so useful for facade analysis, window placement, solar panels, and photography. It tells you whether sunlight is arriving from the front, side, or rear of a surface. If you know the orientation of a building or camera subject, azimuth can help you predict when direct sunlight will be favorable or problematic.

How to Interpret Solar Elevation

Elevation tells you how high the sun is above the horizon. Low elevation usually means long shadows, softer raking light, and lower-angle sunlight entering windows more deeply. High elevation means the sun is more overhead, shadows are shorter, and the light path through the atmosphere is different. In hot climates, high elevation can contribute to stronger midday heat loads. In photography, it can create harder contrast.

Elevation is also helpful for judging whether local obstructions such as walls, trees, terrain, or neighboring buildings are likely to block direct sunlight. A low solar elevation can be blocked easily. A high solar elevation is much harder to obstruct unless the obstacle is very tall or very close.

Solar Noon, Sunrise, Sunset, and Day Length

Solar noon is often misunderstood. It is not necessarily 12:00 on your clock. Instead, it is the moment when the sun reaches its highest apparent elevation for that day at your selected longitude. Because time zones are political and geographic averages, and because the equation of time varies across the year, solar noon can happen before or after 12:00 local clock time.

Sunrise and sunset are also more subtle than people assume. A standard practical definition uses an apparent solar zenith of about 90.833°, which accounts approximately for atmospheric refraction near the horizon and the apparent radius of the solar disk. That means the time labeled sunrise or sunset is not based on the center of the sun crossing a perfect geometric horizon with no atmosphere. It is a practical observational convention used widely in solar calculations.

Daylight length is the interval between the estimated sunrise and estimated sunset times. This varies with season and latitude. Near the equator, it stays closer to twelve hours year-round. At higher latitudes, the variation can become much larger. Understanding day length is useful for outdoor planning, solar potential, biology, agriculture, travel, and education.

If you are comparing sites, it is important to remember that sunrise and sunset are horizon-based calculations. What you personally see may differ because of mountains, buildings, trees, haze, or local atmospheric conditions. That is why a calculator should be treated as a geometric planning tool rather than a perfect visual forecast of what your eyes will observe on the horizon line.

Accuracy, Limits, and Practical Notes

This calculator is designed for practical use, planning, and education. It follows a standard solar-position approach that is well suited to general-purpose work. However, there are important limits to keep in mind. First, actual observed sunlight at a site can differ because of terrain, local obstructions, weather, haze, refraction variability, and elevation above sea level. Second, if you need observatory-grade or research-grade precision, you should rely on a higher-precision solar position implementation and, when relevant, local topographic and atmospheric corrections.

Another limit is the difference between geometric sky position and site-specific visibility. A calculator may say the sun is above the horizon, but a mountain ridge or nearby tower can still block it from view. Similarly, sunrise may occur geometrically at a certain time, but a building can delay direct sunlight on a facade or ground surface well beyond that moment.

Time input also matters. A small mistake in UTC offset or local time can distort results. This is especially easy to do when calculating for a remote location, a future date, or a place that uses daylight saving time. Always confirm that the clock time and UTC offset match each other for the selected date.

Finally, solar position is only one part of many practical workflows. For solar energy, you may also need irradiance, shading analysis, panel orientation, and weather patterns. For architecture, you may also need shadow simulation and facade geometry. For photography, you may also care about cloud cover, haze, atmospheric color, and local reflections. The sun’s position is foundational, but it is not the only variable.

Frequently Asked Questions

What does a sun position calculator calculate?

A sun position calculator typically computes solar azimuth, solar elevation or altitude, solar zenith, declination, hour angle, solar noon, sunrise, sunset, and daylight duration for a selected date, time, and location.

What is the difference between solar azimuth and solar elevation?

Solar azimuth describes the horizontal compass direction of the sun. Solar elevation describes how high the sun is above the horizon. Azimuth tells you where to look around the horizon. Elevation tells you how high to look.

What is solar zenith angle?

Solar zenith is the angle between the sun and the vertical direction straight overhead. If the sun is directly above you, zenith is 0°. If the sun is at the horizon, zenith is about 90°.

Why is solar noon not exactly 12:00?

Solar noon depends on longitude and the equation of time, while your clock follows time-zone rules. Because of that, the sun’s highest point in the sky often occurs before or after 12:00 local clock time.

Why do sunrise and sunset times change through the year?

They change because Earth’s axis is tilted and Earth orbits the sun. That changes the sun’s apparent path in the sky, affecting both day length and the direction of sunrise and sunset.

How accurate is this solar angle calculator?

It is suitable for educational and practical planning use, but local obstacles, refraction changes, weather, and topography can make real observed conditions differ from the geometric result.

What is a good use case for solar azimuth?

Solar azimuth is useful for solar panel orientation, facade sunlight studies, shadow planning, and photography because it tells you the directional bearing of incoming sunlight.

What is a good use case for solar elevation?

Solar elevation is useful for understanding shadow length, overhead heat exposure, facade penetration, garden sunlight, and the general height of the sun through the day.

Can I use this as a solar panel calculator?

It can help with the sun-angle part of solar planning, but full solar design also depends on roof geometry, shading, panel orientation, local climate, irradiance, and electrical system assumptions.

Why are my results different from what I see on site?

The calculator gives geometric solar position. Real conditions can differ because of mountains, buildings, trees, haze, atmospheric refraction variability, and local horizon obstruction.

This Sun Position Calculator is intended as an educational and practical planning tool. Results are approximate and represent the sun’s apparent geometric position for the selected date, time, and coordinates. Real-world visible sunlight can be affected by terrain, buildings, vegetation, weather, refraction, and local site conditions.
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