Sun Position Calculator

The Sun Position Calculator is a useful online tool that helps you understand the Sun’s position in the sky at a specific location, date, and local time. It calculates important solar measurements, including solar altitude, solar azimuth, solar zenith angle, sunrise time, sunset time, solar noon, and total daylight duration. Whether you are planning outdoor activities, designing a solar energy system, studying astronomy, or determining the best time for photography, this calculator provides helpful estimates for understanding daily sunlight patterns.

Sun Position Calculator

Calculate the Sun’s altitude, azimuth, sunrise, sunset, solar noon, and daylight duration for your location and selected date.

North is positive; south is negative.
East is positive; west is negative.
Use +5 for UTC+5 or -5 for UTC-5. Account for daylight saving time if applicable.
Elevation above sea level; used for the approximate sunrise and sunset horizon correction.
Used for approximate atmospheric refraction. Set to 0 to disable it.

Understanding Sun Position

Solar altitude: The angle of the Sun above or below the horizon.

Solar azimuth: The direction of the Sun along the horizon, measured clockwise from true north.

Solar zenith: The angle between the Sun and the point directly overhead. It equals 90° minus the solar altitude.

Solar noon: The time when the Sun reaches its highest daily position for the selected location.

Important: Results are astronomical estimates. Local terrain, buildings, weather, and the accuracy of the time-zone offset can affect observed sunrise and sunset.

The position of the Sun changes continuously because Earth rotates on its axis and revolves around the Sun. As a result, the Sun appears at different heights and directions throughout the day. Its position also changes with the seasons, affecting daylight hours, shadow lengths, solar energy production, and the amount of sunlight reaching a particular location.

For example, the Sun generally appears higher in the sky during summer than during winter in many locations. Sunrise and sunset times also vary throughout the year, depending on latitude, longitude, and Earth’s position in its orbit.

Calculating these values manually can be complicated because several astronomical factors must be considered. The Sun Position Calculator simplifies the process by using your geographic coordinates, selected date, local time, and UTC offset to estimate the Sun’s position and related solar information.

The tool also considers observer elevation, atmospheric pressure, and air temperature when estimating certain results. It provides a compass-style display to help you understand the Sun’s direction and a copy feature that allows you to save the calculated results for future reference.

What Is a Sun Position Calculator?

A Sun Position Calculator is an online calculation tool that estimates the apparent position of the Sun relative to an observer on Earth. It uses geographical coordinates and time information to determine where the Sun appears in the sky.

The calculator can help answer questions such as:

  • How high is the Sun above the horizon at a particular time?
  • In which direction should I look to find the Sun?
  • What time will sunrise and sunset occur?
  • When will the Sun reach its highest position?
  • How many hours of daylight will a location receive?
  • Is the Sun above the horizon, or is it nighttime?
  • What is the Sun’s declination on a particular date?
  • How does the Sun’s position change during different seasons?

These calculations are useful for homeowners, solar panel installers, photographers, architects, gardeners, students, travelers, and anyone interested in sunlight patterns.

Unlike a simple sunrise and sunset table, this calculator can estimate the Sun’s position at a specific time, making it more useful for detailed planning.

Key Features of the Sun Position Calculator

The calculator provides several measurements that help users understand solar movement and daylight conditions.

1. Solar Altitude

Solar altitude is the angle between the Sun and the local horizon. It describes how high or low the Sun appears in the sky.

A positive solar altitude means the Sun is above the geometric horizon, while a negative value means it is below the horizon. Atmospheric refraction can slightly change the apparent altitude, especially when the Sun is close to the horizon.

For example, a solar altitude of 45° indicates that the Sun is approximately halfway between the horizon and the point directly overhead in angular terms.

2. Solar Azimuth

Solar azimuth describes the direction of the Sun along the horizon. In this calculator, it is measured clockwise from true north.

The general compass directions are:

AzimuthDirection
0°North
45°Northeast
90°East
135°Southeast
180°South
225°Southwest
270°West
315°Northwest
360°North

The calculated azimuth helps users determine the direction of sunlight for outdoor photography, solar panel planning, and building orientation.

Remember that these values refer to true north rather than necessarily matching the direction shown by a magnetic compass.

3. Sunrise Time

The calculator estimates when the Sun first appears at the horizon under its standard sunrise convention.

Actual sunrise can differ because of atmospheric refraction, local terrain, mountains, buildings, and other obstructions.

4. Sunset Time

Sunset represents the approximate time when the Sun disappears below the horizon. This information is helpful for planning outdoor activities, travel, photography, and evening schedules.

5. Solar Noon

Solar noon occurs when the Sun reaches its highest daily position for a particular location.

It does not necessarily happen at 12:00 PM on a clock. Longitude, the time zone, and the equation of time can cause solar noon to occur earlier or later.

6. Daylight Duration

Daylight duration is the estimated length of the day between sunrise and sunset.

It varies with latitude and season. Locations near the equator often experience relatively consistent daylight throughout the year, while high-latitude locations may experience very long summer days and very short winter days.

7. Solar Zenith Angle

The solar zenith angle measures the angular distance between the Sun and the point directly overhead.

It is closely related to solar altitude and helps describe the Sun’s position for scientific and practical applications.

8. Solar Declination

Solar declination describes the angular position of the Sun north or south of Earth’s equatorial plane.

It changes throughout the year and helps explain seasonal differences in daylight, solar altitude, and the apparent path of the Sun.

9. Equation of Time

The equation of time is the difference between apparent solar time and mean solar time. It accounts for the fact that the Sun does not appear to move at a perfectly uniform rate relative to clock time.

This difference results primarily from Earth’s elliptical orbit and the tilt of its rotational axis.

10. Sunlight Status

The calculator categorizes the current solar condition based on the estimated apparent solar altitude.

Possible results include:

  • Sun is above the horizon
  • Civil twilight
  • Nautical twilight
  • Astronomical twilight
  • Night

These categories help users understand whether the Sun is above the horizon or how far below it has descended.

How to Use the Sun Position Calculator

Using the Sun Position Calculator is straightforward. Follow these steps to calculate solar information for your selected location and date.

Step 1: Enter Your Latitude

Latitude identifies your position north or south of the equator.

Enter a value between -90° and +90°. Use a positive number for locations north of the equator and a negative number for locations south of the equator.

For example, a latitude of 31.5204° represents a location north of the equator.

You can obtain your coordinates from a mapping application or a reliable geographic coordinate source.

Step 2: Enter Your Longitude

Longitude identifies your position east or west of the prime meridian.

Enter a value between -180° and +180°.

  • Positive values represent locations east of the prime meridian.
  • Negative values represent locations west of the prime meridian.

For example, 74.3587° is an east longitude.

Use the latitude and longitude of the actual location where you want to calculate the Sun’s position. Even places within the same city can have slightly different coordinates.

Step 3: Select the Date

Choose the date for which you want solar information.

You can select today’s date or a future or past date to explore seasonal changes. The selected date affects the estimated solar declination, sunrise, sunset, daylight duration, and other measurements.

Step 4: Enter the Local Time

Enter the local clock time at which you want to calculate the Sun’s position.

The default time is 12:00, but you can change it to any valid time.

For example, entering 09:30 helps estimate the Sun’s altitude and direction during the morning.

Step 5: Enter the UTC Offset

The UTC offset is the difference between local standard or daylight-saving clock time and Coordinated Universal Time (UTC).

Examples include:

Time zoneUTC offset
Pakistan Standard Time+5
India Standard Time+5.5
UTC0
Eastern Standard Time-5
Japan Standard Time+9

Enter the offset applicable to your selected date. If daylight saving time applies in your location, account for it.

Some countries use half-hour or quarter-hour offsets, which the calculator can accept.

Step 6: Enter Observer Elevation

Observer elevation is the height of your observation point above sea level, measured in meters.

The default is 0 meters. You can leave this value unchanged if you do not know your elevation.

For elevated locations, the calculator estimates the effect of the lowered visible horizon on sunrise and sunset. This is an approximate correction and does not account for nearby hills or buildings.

Step 7: Enter Atmospheric Pressure

Atmospheric pressure affects how Earth’s atmosphere bends light from the Sun.

The calculator uses pressure in hectopascals (hPa), with a default value of 1010 hPa.

You can enter a more appropriate local pressure if known. Setting pressure to 0 disables the calculator’s atmospheric refraction adjustment for solar altitude.

Step 8: Enter Air Temperature

Enter the air temperature in degrees Celsius.

The calculator uses this value when estimating atmospheric refraction. The default is 10°C.

For everyday planning, the default may be sufficient. For more precise calculations, use representative atmospheric conditions.

Step 9: Click Calculate

After entering the required information, click the Calculate button.

The calculator validates your inputs and displays the estimated solar results. The results section includes solar altitude, azimuth, sunrise, solar noon, sunset, daylight duration, solar declination, equation of time, and other useful information.

Step 10: Review the Compass and Copy Your Results

Use the compass display to understand the Sun’s direction relative to north, east, south, and west.

The compass illustrates azimuth; it does not indicate how high the Sun is above the horizon.

If you want to keep the information, click Copy Results to copy the displayed calculations for notes, reports, or planning.

The Reset button reloads the calculator so you can start again with fresh inputs.

Sun Position Calculator Formulas Explained

The Sun Position Calculator uses astronomical approximations to estimate solar angles and daily sunlight conditions. Understanding the basic formulas helps you interpret the results.

The following equations explain the principal calculations behind the tool.

1. Solar Altitude Formula

Solar altitude is calculated using latitude, solar declination, and the solar hour angle.

\[ \sin(h)=\sin(\phi)\sin(\delta)+\cos(\phi)\cos(\delta)\cos(H) \]

Therefore,

\[ h=\sin^{-1}\left[ \sin(\phi)\sin(\delta)+ \cos(\phi)\cos(\delta)\cos(H) \right] \]

Where:

  • \(h\) = geometric solar altitude
  • \(\phi\) = observer latitude
  • \(\delta\) = solar declination
  • \(H\) = solar hour angle

The formula determines the geometric altitude of the Sun before the atmospheric refraction adjustment.

If the result is positive, the Sun is geometrically above the horizon. If it is negative, the Sun is below the horizon.

The calculator then estimates atmospheric refraction under suitable conditions and adds that adjustment to obtain an approximate apparent altitude.

2. Solar Zenith Angle Formula

The solar zenith angle is calculated as:

\[ Z=90^\circ-h \]

Where:

  • \(Z\) = solar zenith angle
  • \(h\) = geometric solar altitude

For example, if the geometric solar altitude is 60°, the zenith angle is:

\[ Z=90^\circ-60^\circ=30^\circ \]

This means the Sun is 30° away from the point directly overhead.

The calculator uses the geometric altitude for its zenith-angle calculation, so the zenith angle may not equal 90° minus the displayed apparent altitude when atmospheric refraction is applied.

3. Solar Azimuth Formula

Solar azimuth is calculated using the solar hour angle, observer latitude, and solar declination.

A form of the calculation is:

\[ A=\operatorname{mod}\left[ \operatorname{atan2} \left( \sin H,\, \cos H\sin\phi-\tan\delta\cos\phi \right) +180^\circ,\, 360^\circ \right] \]

Where:

  • \(A\) = solar azimuth
  • \(H\) = solar hour angle
  • \(\phi\) = latitude
  • \(\delta\) = solar declination

The result is normalized to a direction between 0° and 360°.

This allows the calculator to represent the Sun’s direction using a compass bearing measured clockwise from true north.

4. Solar Declination Formula

Solar declination changes as Earth moves around the Sun. The calculator uses an approximation based on the fractional year.

A simplified conceptual relationship is:

\[ \delta \approx 23.44^\circ \sin\left(\frac{360^\circ}{365}(N-81)\right) \]

Where \(N\) represents the day of the year.

This simplified equation is useful for understanding the annual pattern, but it is not the exact series used by the calculator. The tool uses a more detailed trigonometric approximation to estimate solar declination from the date and time.

Declination is near 0° around the equinoxes and reaches approximately +23.44° and -23.44° around the solstices.

5. Equation of Time Formula

The calculator estimates the equation of time using the fractional-year angle \(\gamma\).

\[ \gamma=\frac{2\pi}{365} \left(N-1+\frac{t_{\mathrm{UTC}}-12}{24}\right) \]

Here, \(N\) is the UTC day of the year and \(t_{\mathrm{UTC}}\) is the UTC fractional hour.

The equation of time is then approximated by:

\[ \begin{aligned} E=229.18(&0.000075+0.001868\cos\gamma\\ &-0.032077\sin\gamma\\ &-0.014615\cos2\gamma\\ &-0.040849\sin2\gamma) \end{aligned} \]

Where \(E\) is expressed in minutes.

This correction accounts for the difference between apparent solar time and mean solar time.

6. Solar Noon Formula

The calculator estimates local solar noon using longitude, the equation of time, and the UTC offset.

\[ T_{\text{noon}}=720-4\lambda-E+60z \]

Where:

  • \(T_{\text{noon}}\) = solar noon in local minutes after midnight
  • \(\lambda\) = longitude in degrees, positive east
  • \(E\) = equation of time in minutes
  • \(z\) = UTC offset in hours

The factor of four appears because Earth rotates approximately 1° of longitude every four minutes.

This explains why solar noon can differ from 12:00 PM even when a location follows its expected time zone.

7. Sunrise and Sunset Formula

Sunrise and sunset can be estimated from the solar hour angle at the horizon.

The calculator uses a standard sunrise or sunset altitude of approximately -0.833°, with an additional horizon-dip correction for positive observer elevations.

The hour-angle relationship is:

\[ \cos H_0= \frac{\sin h_0-\sin\phi\sin\delta} {\cos\phi\cos\delta} \]

Where:

  • \(H_0\) = sunrise or sunset hour angle
  • \(h_0\) = assumed horizon altitude
  • \(\phi\) = latitude
  • \(\delta\) = solar declination

When the hour angle can be calculated, sunrise and sunset are estimated as:

\[ T_{\text{sunrise}}=T_{\text{noon}}-4H_0 \]

\[ T_{\text{sunset}}=T_{\text{noon}}+4H_0 \]

In these equations, \(H_0\) is expressed in degrees and the resulting times are in minutes.

If the geometry indicates that the Sun remains above or below the specified horizon throughout the day, the calculator reports no sunrise or sunset for that date and estimates daylight duration accordingly.

8. Daylight Duration Formula

When both sunrise and sunset occur, daylight duration is:

\[ D=T_{\text{sunset}}-T_{\text{sunrise}} \]

For example, if sunrise occurs at 6:15 AM and sunset occurs at 6:45 PM:

\[ D=18{:}45-06{:}15=12.5\text{ hours} \]

The calculator converts the result into hours and minutes for easier reading.

9. Atmospheric Refraction Formula

Earth’s atmosphere bends sunlight, making the Sun appear slightly higher than its geometric position when it is near the horizon.

The calculator uses an approximate refraction relationship:

\[ R\approx\frac{1.02}{\tan\left(h+\frac{10.3}{h+5.11}\right)} \]

The angular variables in the tangent expression are in degrees, and the result \(R\) is in arcminutes before conversion to degrees.

The tool scales this estimate according to atmospheric pressure and temperature and applies it only within a limited altitude range.

Atmospheric refraction varies with actual atmospheric conditions, so this correction should not be treated as an exact prediction.

Practical Examples of Using the Sun Position Calculator

The following examples show how solar calculations can be useful in everyday situations. The times and measurements are illustrative rather than verified outputs from the calculator.

Example 1: Finding the Sun’s Position in Lahore, Pakistan

Suppose you want to determine the Sun’s position in Lahore on a selected date.

Enter these example values:

InputExample value
Latitude31.5204°
Longitude74.3587°
DateYour selected date
Local time10:00 AM
UTC offset+5
Observer elevation217 meters
Atmospheric pressure1010 hPa
Air temperature10°C

After entering the values, click Calculate.

The calculator estimates the Sun’s altitude and azimuth at 10:00 AM, along with the day’s sunrise, solar noon, sunset, and daylight duration.

You can use the azimuth to determine the direction of sunlight and the altitude to estimate how high the Sun appears.

This information can be useful when planning a morning photography session, arranging outdoor work, or assessing the direction of sunlight entering a room.

For an accurate result, select the actual date and use the correct UTC offset for that date.

Example 2: Planning a Solar Panel Installation

Imagine a homeowner wants to understand how the Sun moves across the sky before installing rooftop solar panels.

The homeowner enters the property’s latitude and longitude and calculates the solar position at several times throughout the day.

For example, calculations at 9:00 AM, 12:00 PM, and 3:00 PM can provide a general picture of how the Sun’s direction and altitude change between morning and afternoon.

This information can help with preliminary decisions about panel orientation and potential shading.

However, the Sun Position Calculator alone cannot determine the exact electricity production of a solar system. Panel tilt, roof orientation, shading, panel efficiency, weather, and seasonal sunlight conditions must also be considered.

For a final installation design, use a dedicated solar assessment or professional site survey.

Example 3: Planning Outdoor Photography

Photographers often need to know where the Sun will be before arriving at a location.

Suppose a photographer wants soft morning light for a landscape shoot. They can enter the location, date, and expected shooting time to estimate solar altitude and azimuth.

A low solar altitude may create long shadows and warm-looking directional light, depending on weather and atmospheric conditions. A higher solar altitude often creates shorter shadows and more direct illumination.

The calculator also helps photographers anticipate sunrise and sunset, making it easier to plan when to arrive and where to position the camera.

For detailed photography planning, combine the results with a local weather forecast and a map of the shooting location.

Example 4: Understanding Seasonal Daylight

A student wants to compare daylight duration in June and December.

By entering the same coordinates and changing only the date, the student can compare the estimated sunrise, sunset, solar noon, and daylight duration.

At many locations in the Northern Hemisphere, June has longer daylight hours than December. The reverse is generally true in the Southern Hemisphere.

The results help explain how Earth’s axial tilt affects the length of the day.

Near the equator, the seasonal difference is generally smaller than at high latitudes.

Solar Altitude vs. Solar Azimuth vs. Solar Zenith

These three measurements describe different aspects of the Sun’s position.

MeasurementWhat it describesTypical range
Solar altitudeHeight above or below the horizon-90° to +90°
Solar azimuthCompass direction of the Sun0° to 360°
Solar zenithAngular distance from directly overhead0° to 180°

Solar altitude tells you how high the Sun appears. Solar azimuth tells you the direction in which it appears. Solar zenith indicates how far it is from the point directly above you.

For example, a Sun altitude of 30° means the Sun is relatively low in the sky compared with its position at 70°. An azimuth of 90° indicates east, while a zenith angle of 60° corresponds to a geometric altitude of 30°.

Understanding these differences makes the calculator’s results easier to interpret.

Factors That Affect the Sun’s Position

Several factors determine the Sun’s apparent position and the duration of daylight.

Latitude

Latitude is one of the most important factors affecting solar altitude and seasonal daylight changes.

Locations close to the equator generally experience smaller annual changes in daylight duration. Locations closer to the poles experience much larger seasonal differences.

Longitude

Longitude affects the relationship between local clock time and the Sun’s apparent daily movement.

Two locations in the same time zone can experience solar noon at different clock times because they are located at different longitudes.

Date of the Year

Earth’s axial tilt causes the Sun’s apparent declination to change throughout the year.

This affects the height of the Sun at solar noon, sunrise and sunset times, and the total number of daylight hours.

Local Time and UTC Offset

The calculator needs the correct local time and UTC offset to estimate the Sun’s position at the requested moment.

Using an incorrect offset can shift the calculated solar position and solar event times.

Observer Elevation

Higher observation points can have a more distant visible horizon. This may allow the Sun to appear earlier at sunrise and remain visible later at sunset compared with an observer at sea level.

The calculator approximates this effect using a horizon-dip correction.

Atmospheric Conditions

Atmospheric pressure and temperature influence refraction, particularly when the Sun is near the horizon.

Cloud cover does not change the underlying astronomical solar position, but it can prevent you from seeing the Sun directly.

Buildings, Trees, and Mountains

Physical obstructions can block sunlight even when the Sun is geometrically above the horizon.

The calculator does not model nearby buildings, trees, mountains, or local terrain. Its sunrise and sunset times should therefore be understood as astronomical estimates rather than guaranteed times of direct sunlight at a particular property.

Benefits of Using an Online Sun Position Calculator

An online solar calculator provides several advantages for everyday planning and learning.

  • Quick calculations: Estimate solar angles and daylight information without manually solving multiple astronomical equations.
  • Location-specific results: Use latitude and longitude to calculate solar conditions for different places.
  • Date flexibility: Compare solar positions on different days of the year.
  • Direction guidance: Use azimuth and the compass display to understand where the Sun appears.
  • Outdoor planning: Estimate sunrise, sunset, and daylight duration before arranging activities.
  • Educational value: Learn how latitude, declination, and Earth’s rotation influence the Sun’s apparent movement.
  • Solar planning support: Obtain preliminary information for evaluating sunlight direction and possible shading.
  • Easy result sharing: Copy the calculated results for notes, reports, and personal records.

These benefits make the calculator useful for both casual users and people who need basic solar information for practical projects.

Important Tips for Accurate Results

Follow these recommendations to improve the usefulness of your calculations.

1. Use accurate coordinates. Small location differences can affect the calculated direction and timing, particularly over large geographic areas.

2. Check the date carefully. Sunrise, sunset, and daylight duration change throughout the year.

3. Enter the correct UTC offset. Account for daylight saving time when applicable.

4. Keep coordinate signs correct. North and east are positive, while south and west are negative.

5. Use appropriate atmospheric values. The default pressure and temperature are estimates. Local conditions may differ.

6. Understand the elevation setting. The calculator uses elevation for an approximate horizon correction, not for a complete terrain model.

7. Treat the results as estimates. The calculations are not a substitute for precise astronomical software or professional surveying.

8. Check local obstructions. Buildings, trees, hills, and mountains can affect when direct sunlight reaches your location.

9. Use true north for compass directions. Magnetic compass readings may differ because of magnetic declination.

10. Compare multiple times. Calculating the Sun’s position at several times helps you understand how its altitude and direction change during the day.

Limitations of the Sun Position Calculator

Although the calculator is useful for general solar planning, it is important to understand what it does not provide.

First, its results are based on approximate astronomical formulas. Small differences may occur compared with professional ephemerides or dedicated solar-position applications.

Second, sunrise and sunset estimates rely on a standard horizon convention and an approximate elevation correction. Actual visibility depends on local geography and atmospheric conditions.

Third, the calculator does not model clouds, weather, surrounding buildings, vegetation, or terrain profiles.

Fourth, atmospheric refraction is estimated using pressure and temperature rather than a detailed model of the atmosphere.

Finally, the calculator does not provide solar irradiance, photovoltaic energy production, UV exposure, or a complete solar panel design. Those applications require additional information and specialized calculations.

For everyday use, education, and preliminary planning, the tool provides a convenient overview of solar conditions at a selected place and time.

Frequently Asked Questions (FAQs)

1. What does a Sun Position Calculator do?

A Sun Position Calculator estimates the Sun’s altitude, azimuth, zenith angle, sunrise, sunset, solar noon, and daylight duration using your geographic coordinates and selected date and time.

2. How do I find the Sun’s position at a specific time?

Enter your latitude, longitude, date, local time, and UTC offset. You can also provide elevation, atmospheric pressure, and temperature. Click Calculate to view the estimated solar position and related information.

3. What is solar altitude?

Solar altitude is the angle between the Sun and the local horizon. A positive value generally means the Sun is above the geometric horizon, while a negative value means it is below it.

4. What is solar azimuth?

Solar azimuth is the Sun’s compass direction, measured clockwise from true north. For example, 90° represents east, 180° represents south, and 270° represents west.

5. What is the difference between solar altitude and solar zenith?

Solar altitude measures the Sun’s height above or below the horizon. Solar zenith measures its angular distance from directly overhead. Geometrically, zenith angle equals 90° minus solar altitude.

6. Why does solar noon not always occur at 12:00 PM?

Solar noon depends on longitude, time-zone boundaries, and the equation of time. These factors cause the Sun to reach its highest daily position at a clock time that may differ from noon.

7. Can I calculate sunrise and sunset for any date?

You can select different dates to estimate sunrise and sunset. However, at some high-latitude locations, the Sun may remain above or below the specified horizon throughout the day. In these cases, the calculator may report that sunrise or sunset does not occur.

8. Why is the UTC offset important?

The UTC offset converts local clock time into the time reference needed for the solar calculation. An incorrect offset can produce inaccurate solar angles and event times.

9. What UTC offset should I use in Pakistan?

Pakistan Standard Time uses UTC+5. Enter +5 for dates when Pakistan follows its standard time. If you are calculating for another location, use that location’s applicable UTC offset.

10. Does elevation affect sunrise and sunset?

Yes. An observer at a higher elevation may have a more distant horizon, potentially allowing the Sun to become visible earlier and disappear later. This calculator estimates the effect through a horizon-dip correction.

11. Why does atmospheric pressure matter?

Atmospheric pressure influences how much the atmosphere bends sunlight. This effect, known as refraction, can make the Sun appear slightly higher than its geometric position, especially near the horizon.

12. Can I use this calculator for solar panel installation?

Yes, it can provide preliminary information about the Sun’s direction and altitude at different times. However, a complete solar installation assessment also requires panel orientation, tilt, shading analysis, weather data, and energy-production estimates.

13. Is the Sun Position Calculator accurate?

It provides useful astronomical estimates based on established approximate relationships. Results can differ slightly from more advanced astronomical calculations because of model approximations, atmospheric variability, and local horizon conditions.

14. Why can the Sun be below the horizon while twilight is still present?

Twilight occurs when the Sun is below the horizon but its light still illuminates the atmosphere. Civil, nautical, and astronomical twilight correspond to different ranges of solar altitude below the horizon.

15. Can I save or share the calculated solar results?

Yes. Click the Copy Results button after calculating the solar information. The tool attempts to copy the displayed measurements to your clipboard so you can paste them into notes, documents, or reports.

Conclusion

The Sun Position Calculator is a practical tool for estimating solar altitude, azimuth, zenith angle, sunrise, sunset, solar noon, and daylight duration for a specific location and date. By combining latitude, longitude, local time, and the correct UTC offset, it helps users understand the Sun’s apparent movement throughout the day.

Additional inputs for observer elevation, atmospheric pressure, and air temperature provide useful approximate corrections for horizon visibility and atmospheric refraction. The compass display makes solar direction easier to understand, while the copy feature helps users save and reuse their results.

Whether you are studying astronomy, planning outdoor photography, comparing seasonal daylight, or exploring sunlight conditions for a solar project, this calculator provides a convenient starting point. For the best results, enter accurate coordinates, use the correct time-zone offset, and remember that actual sunlight visibility can be affected by weather, terrain, and nearby obstructions.

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