Accurate Prayer Time Calculation Tool

Prayer Times

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What is Prayer Time Calculation?

Prayer time calculation is the process of determining the prescribed times for the five daily Islamic prayers, known as Salah. These times are not static; they are determined by the position of the Sun as it appears from a specific location on Earth. Therefore, prayer times vary daily and depend on one’s geographic coordinates (latitude and longitude). The practice combines centuries of Islamic scholarship with astronomy to ensure Muslims can perform their prayers at the correct times, a fundamental pillar of Islam. This prayer time calculation is essential for Muslims worldwide.

The Formula and Explanation of Prayer Time Calculation

The calculation of Islamic prayer times is based on astronomical formulas that determine the sun’s position. The core of the calculation is finding the time of solar noon (Dhuhr), and then deriving other prayer times based on specific sun angles below the horizon or shadow lengths.

The main formula to find the time difference from noon for a given sun angle (α) is:

T(α) = (1/15) * arccos( (-sin(α) - sin(L) * sin(D)) / (cos(L) * cos(D)) )

Where L is the latitude and D is the sun’s declination for the given day. The times are then calculated as:

• Dhuhr: Calculated as the time of solar noon.
• Fajr & Isha: Calculated based on a specific angle of the sun below the horizon, which defines astronomical twilight. Different methods use different angles.
• Maghrib (Sunset): Occurs when the sun’s upper edge disappears below the horizon.
• Asr: Determined when the length of an object’s shadow reaches a certain multiple of its height.

For more on the Hijri calendar, see our Hijri date converter.

Variables in Prayer Time Calculation

Variable	Meaning	Unit	Typical Range
Latitude (L)	Your north-south position on Earth.	Degrees	-90 to +90
Longitude	Your east-west position on Earth.	Degrees	-180 to +180
Sun Declination (D)	The angle of the sun’s rays relative to the Earth’s equator.	Degrees	-23.45 to +23.45
Twilight Angle (α)	The sun’s angle below the horizon for Fajr/Isha.	Degrees	12 to 20
Asr Factor	The ratio of shadow length to object height for Asr.	Ratio	1 (Standard) or 2 (Hanafi)

Practical Examples

Example 1: Riyadh, Saudi Arabia

Let’s take a look at a prayer time calculation for Riyadh on a winter day.

• Inputs: Latitude: 24.7136, Longitude: 46.6753, Method: Umm al-Qura
• Results: The calculator would show Dhuhr around 12:00 PM, with Fajr much earlier and Isha later, reflecting the shorter daylight hours in winter.

Example 2: London, UK

Now, a prayer time calculation for London on a summer day.

• Inputs: Latitude: 51.5072, Longitude: -0.1276, Method: ISNA
• Results: Due to the high latitude, the time between Isha and Fajr would be very short. Fajr would be very early (e.g., around 3:00 AM) and Isha very late (e.g., around 10:30 PM). This demonstrates the significant impact of latitude on prayer time calculation. For help with your Zakat, you can use our Zakat calculator.

How to Use This Prayer Time Calculation Calculator

1. Enter Location: Input the latitude and longitude of your desired location.
2. Select Date: Choose the date for which you want the prayer times.
3. Choose Calculation Method: Select the calculation method that is followed in your community. The Islamic Society of North America (ISNA) method is common in the West.
4. Select Asr Method: Choose between Standard (for Shafi’i, Maliki, Hanbali schools) and Hanafi.
5. Calculate: Click the “Calculate” button to see the results. The times for all five prayers plus sunrise will be displayed.

Key Factors That Affect Prayer Time Calculation

Several factors influence the precise prayer time calculation, making it a dynamic and location-specific science. Understanding the Qibla direction is also vital for prayer.

• Geographic Latitude: This is the most significant factor. The higher the latitude (further from the equator), the greater the variation in daylight hours throughout the year, leading to extreme prayer times in summer and winter.
• Geographic Longitude: This determines your local time relative to the sun’s position and affects the timing of Dhuhr.
• Date of the Year: The sun’s path across the sky changes daily, affecting its declination and altering all prayer times.
• Calculation Method Convention: Different Islamic authorities and organizations have endorsed different angles for calculating Fajr and Isha. These conventions (like ISNA or Muslim World League) are a key variable.
• Asr Juristic Method: The choice between the Standard (majority) view and the Hanafi view for the Asr prayer time directly impacts its calculation.
• Altitude: Higher elevations can affect the observed time of sunrise and sunset, though most calculators assume sea level for simplicity.
• Timezone: The final times are adjusted for the local timezone of the location.

Frequently Asked Questions about Prayer Time Calculation

1. Why do prayer times change every day?

Prayer times change daily because they are based on the sun’s position, which changes due to the Earth’s axial tilt and its orbit around the sun. This causes the length of the day and the sun’s path to vary continuously. The Islamic calendar is lunar, but daily prayers are solar.

2. What do the different calculation methods mean?

The primary difference between methods like ISNA, MWL, and others is the angle of the sun below the horizon they use to define the start of Fajr (dawn) and Isha (night). For example, ISNA uses 15 degrees for both, while MWL uses 18 degrees for Fajr and 17 for Isha.

3. What is the difference between Standard and Hanafi Asr time?

The Standard method (used by Shafi’i, Maliki, Hanbali schools) starts Asr when an object’s shadow is equal to its length. The Hanafi school starts Asr when the shadow is twice the object’s length, resulting in a later Asr time.

4. How are prayer times calculated in high-latitude regions?

In regions where the sun doesn’t set in summer or twilight persists all night, special rules are applied. Some methods use an angle-based calculation, while others might divide the night into segments to estimate Fajr and Isha.

5. Is this calculator accurate for my local mosque?

This calculator provides a precise astronomical prayer time calculation. However, your local mosque might add a few minutes of precaution or follow a specific local calendar. It’s always good to cross-reference with your local mosque’s schedule.

6. Does this calculator account for Daylight Saving Time (DST)?

Yes, the calculations are based on the computer’s local time setting, which typically accounts for DST. The timezone offset is automatically applied.

7. Why is there a separate time for Sunrise?

Sunrise (Shuruq) marks the end of the time for Fajr prayer. It is forbidden to pray at the exact moment of sunrise, so knowing this time is important.

8. Can I use this for Ramadan?

Absolutely. This calculator is perfect for determining the start of fasting (Fajr) and the time to break the fast (Maghrib) during Ramadan. For more information, see our guide on Ramadan prayer times.