Prayer Time Calculator

Calculate Islamic prayer times (Salat times) for any location and date with our accurate Prayer Time Calculator.

Calculate Prayer Times

What is a Prayer Time Calculator?

A Prayer Time Calculator is a tool used to determine the prescribed times for the five daily Islamic prayers (Salat): Fajr (dawn), Dhuhr (midday), Asr (afternoon), Maghrib (sunset), and Isha (night). These times are not fixed but vary daily and depend on the geographical location (latitude and longitude) and the position of the sun in the sky.

Muslims around the world use a Prayer Time Calculator to ensure they perform their prayers within the correct time windows. The calculations are based on astronomical formulas that determine the sun’s position relative to the horizon at different times of the day for a specific location and date. Different Islamic organizations and scholars have slightly varying conventions for the angles used, especially for Fajr and Isha, which is why our Prayer Time Calculator offers multiple calculation methods.

Common misconceptions include the idea that prayer times are the same every day or the same everywhere in a time zone. In reality, they change daily due to the Earth’s tilt and orbit, and vary significantly with latitude and longitude. A reliable Prayer Time Calculator accounts for these factors.

Prayer Time Calculator Formula and Mathematical Explanation

The calculation of prayer times involves several astronomical steps:

1. Julian Date (JD): The date is converted into a Julian Date, which is the continuous count of days since the beginning of the Julian Period.
2. Solar Coordinates: Using the Julian Date, we calculate the Sun’s ecliptic longitude, obliquity of the ecliptic, and right ascension. From these, we derive the Solar Declination (δ) and the Equation of Time (EoT). The Solar Declination is the angle between the rays of the Sun and the plane of the Earth’s equator. The Equation of Time accounts for the difference between apparent solar time and mean solar time.
3. Solar Noon (Dhuhr): Solar noon is the time when the sun is at its highest point in the sky. It’s calculated as 12:00 – EoT (adjusted for longitude and timezone). Dhuhr time is typically a few minutes after solar noon to allow the sun to pass its zenith.
4. Hour Angle (H): For other prayer times (Fajr, Sunrise, Asr, Maghrib/Sunset, Isha), we need to find the hour angle of the sun when it reaches a certain altitude (or depression below the horizon). The formula `cos(H) = (sin(a) – sin(φ)sin(δ)) / (cos(φ)cos(δ))` is used, where ‘a’ is the altitude of the sun, φ is the latitude, and δ is the solar declination.
   • Sunrise/Sunset (Maghrib): ‘a’ is approximately -0.833 degrees (accounting for atmospheric refraction).
   • Fajr & Isha: ‘a’ is a negative angle below the horizon, specified by the chosen calculation method (e.g., -15 degrees for Fajr ISNA).
   • Asr: The time when the shadow of an object is a certain multiple of its height (plus the shadow at noon). The hour angle is derived from the sun’s altitude at that point. For Standard, `a = arccot(1 + tan|φ-δ|)`, and for Hanafi, `a = arccot(2 + tan|φ-δ|)`.
5. Time Calculation: The hour angle (H) is converted into hours (H/15), and the time is calculated relative to solar noon: Time = Solar Noon ± (H/15) hours, adjusted for the timezone.

Variables Table

Variable	Meaning	Unit	Typical Range
φ (phi)	Latitude	Degrees	-90 to +90
λ (lambda)	Longitude	Degrees	-180 to +180
JD	Julian Date	Days	> 2450000
δ (delta)	Solar Declination	Degrees	-23.45 to +23.45
EoT	Equation of Time	Minutes	-16 to +14
a	Sun’s Altitude/Depression	Degrees	-18 to 0 (for Fajr/Isha/Sunrise)
H	Hour Angle	Degrees	-180 to 180

Practical Examples (Real-World Use Cases)

Example 1: Prayer Times in Riyadh, Saudi Arabia

Let’s find the prayer times for Riyadh (Latitude: 24.7136° N, Longitude: 46.6753° E) on July 15, 2024. Timezone: UTC+3. We use the Makkah (Umm Al-Qura) method and Standard Asr.

• Latitude: 24.7136
• Longitude: 46.6753
• Date: 2024-07-15
• Timezone: 3
• Method: Makkah
• Asr Method: Standard

The Prayer Time Calculator would output times approximately like: Fajr 3:40 AM, Sunrise 5:07 AM, Dhuhr 11:58 AM, Asr 3:23 PM, Maghrib 6:49 PM, Isha 8:19 PM (Isha is 90 mins after Maghrib for Makkah method outside Ramadan).

Interpretation: A person in Riyadh on this date should observe the prayers around these times according to the Umm Al-Qura convention.

Example 2: Prayer Times in London, UK

Let’s find prayer times for London (Latitude: 51.5074° N, Longitude: 0.1278° W) on December 20, 2024. Timezone: UTC+0. We use the MWL method and Hanafi Asr.

• Latitude: 51.5074
• Longitude: -0.1278
• Date: 2024-12-20
• Timezone: 0
• Method: MWL
• Asr Method: Hanafi

The Prayer Time Calculator might show: Fajr 6:10 AM, Sunrise 8:02 AM, Dhuhr 11:58 AM, Asr 2:35 PM, Maghrib 3:54 PM, Isha 5:30 PM.

Interpretation: In London during winter, the day is short. Isha time is relatively early. A Hanafi follower would pray Asr later than a Shafii follower. Using a reliable Prayer Time Calculator is crucial here.

How to Use This Prayer Time Calculator

1. Enter Location: Input your Latitude and Longitude. Positive values for North latitude and East longitude, negative for South and West.
2. Select Date: Choose the date for which you need the prayer times.
3. Set Timezone: Enter your local timezone offset from UTC.
4. Choose Calculation Method: Select the method that corresponds to your local mosque or preferred convention (e.g., ISNA, MWL). This affects Fajr and Isha angles.
5. Select Asr Method: Choose between Standard (Shafii, Maliki, Hanbali) and Hanafi for Asr calculation.
6. Calculate: Click “Calculate” or observe the results updating automatically.
7. Read Results: The calculator will display Fajr, Sunrise, Dhuhr, Asr, Maghrib, and Isha times, along with intermediate values like Julian Date. The next prayer or Dhuhr might be highlighted.
8. Use the Table and Chart: The table provides a clear list of times, and the chart visualizes their distribution across the day.
9. Copy Results: Use the “Copy Results” button to copy the times and parameters for your records.

Decision-Making: If you are unsure about the method, check with your local Islamic center or mosque. The Prayer Time Calculator provides the most common methods.

Key Factors That Affect Prayer Time Calculator Results

• Latitude: Your North-South position significantly affects the length of the day and the angles of the sun, thus changing all prayer times, especially at higher latitudes.
• Longitude: Your East-West position within a time zone determines the local solar noon and thus shifts all prayer times earlier or later.
• Date of the Year: The Earth’s tilt causes the sun’s declination to change throughout the year, affecting sunrise/sunset times and the duration of twilight, thus impacting all prayer times, especially Fajr and Isha.
• Timezone: The local time is derived by adjusting the calculated UTC times based on the selected timezone offset. Incorrect timezone input will shift all times.
• Calculation Method: Different methods use different angles for the sun’s depression below the horizon for Fajr and Isha, leading to variations in these two prayer times. Some methods also have fixed Isha intervals after Maghrib.
• Asr Juristic Method: The Standard and Hanafi methods define Asr based on different shadow lengths, resulting in a later Asr time for the Hanafi school.
• Altitude/Elevation: While not a primary input in many basic calculators (including this one for simplicity), higher altitudes can slightly affect sunrise and sunset times due to a more distant horizon. Advanced calculators might include this.
• Atmospheric Refraction: The bending of light by the atmosphere makes the sun appear higher than it is, especially near the horizon. Calculations for sunrise and sunset usually account for an average refraction of 0.833 degrees.

Understanding these factors helps appreciate why a precise Prayer Time Calculator is essential for accuracy.

Frequently Asked Questions (FAQ)

Q1: Why are the prayer times different from my local mosque’s calendar?

A1: Your local mosque might use a specific calculation method, a fixed timetable, or make local adjustments not reflected in a general Prayer Time Calculator. Check which method they follow and select it here, or consult them directly.

Q2: What is the difference between Standard and Hanafi Asr?

A2: Asr time begins when the shadow of an object is a certain length. For the Standard (Shafii, Maliki, Hanbali) method, it’s when the shadow length equals the object’s height plus the shadow length at noon. For the Hanafi method, it’s when the shadow length is twice the object’s height plus the shadow at noon, resulting in a later Asr time.

Q3: What if I am in a very high latitude region (e.g., near the poles)?

A3: In high latitudes, during summer or winter, the sun might not set or rise, or twilight might persist all night. In such cases, standard calculations for Fajr and Isha based on angles may not be possible. Special methods like “Nearest Latitude” or “One-Seventh of the Night” are used, which are not implemented in this basic Prayer Time Calculator but are used by more specialized ones.

Q4: How accurate is this Prayer Time Calculator?

A4: This Prayer Time Calculator uses standard astronomical formulas and well-known calculation methods. The accuracy depends on the correct input of latitude, longitude, date, timezone, and the chosen methods. It should be accurate to within a minute or two for most locations, assuming standard atmospheric conditions.

Q5: Can I use this Prayer Time Calculator offline?

A5: If you save this HTML page, the calculator part (JavaScript) will work offline in your browser as it doesn’t rely on external servers for the core calculations once loaded.

Q6: What does “90min” for Makkah Isha mean?

A6: For the Umm Al-Qura (Makkah) method, Isha is often set at 90 minutes after Maghrib time throughout the year, except during Ramadan when it might be 120 minutes. Our Prayer Time Calculator applies the 90-minute rule for Makkah.

Q7: Why does the date input matter so much for the Prayer Time Calculator?

A7: The date determines the Sun’s declination (its position relative to the equator) due to the Earth’s tilt, which changes daily. This directly affects the timing of sunrise, sunset, and the duration of twilight, impacting all prayer times calculated by the Prayer Time Calculator.

Q8: Is there a mobile app version of this Prayer Time Calculator?

A8: While this is a web-based Prayer Time Calculator, many mobile apps are available on app stores that provide similar functionality, often with location services to automatically get your coordinates.