Prayer Time Calculator
Prayer time calculator works out Fajr and Sunrise from Date, Latitude and Longitude. The default figures on this page give sunrise of 04:43; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
5 steps
- Solar transit (Dhuhr) is at 12:02 UT, 13:02 local.
- The Sun's declination at transit is 23.437 degrees; with a shadow factor of 1, Asr is when the Sun's altitude falls to arccot(1 + tan|51.5074 - 23.437|) = 33.1121 degrees.
- Sunrise and Maghrib are the crossings of -0.8333 degrees, which allows for refraction and the Sun's semidiameter.
- Fajr and Isha are the crossings of -18 and -17 degrees (Muslim World League (18 / 17)).
- All times shifted by the UTC offset +1 h to local clock time.
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
3 sources
What the prayer time calculator calculates
The five daily prayer times plus sunrise for any date and location, solved from the Sun’s apparent altitude: Fajr and Isha at the twilight depression angles of the chosen authority (Muslim World League, ISNA, Egyptian, Karachi, Umm al-Qura or Tehran), Dhuhr at solar transit, Asr when the shadow has grown by one object-length (majority view) or two (Hanafi), and Maghrib at sunset. Times are given in local clock time for the UTC offset supplied.
How to use this prayer time calculator
Enter Date, Latitude, Longitude and UTC offset of local clocks. Fajr updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Fajr, Sunrise and Dhuhr.
The method follows Jean Meeus, Astronomical Algorithms, 2nd edition, chapters 15 (rising, transit and setting) and 25 (solar coordinates), PrayTimes.org, Calculation Methods (documented parameters of the recognised authorities) and US Naval Observatory, Astronomical Applications Department: rise, set and twilight definitions.
London on the summer solstice example
With Date: 2024-06-21, Latitude: 51.5074, Longitude: -0.1278, UTC offset of local clocks: 1, the calculator returns Sunrise: 04:43. This example is checked against an independent source in the test suite.
What you can compare
Change one input at a time to see how it affects Fajr, Sunrise and Dhuhr. The inputs you can vary are Date, Latitude, Longitude, UTC offset of local clocks, Calculation method and Asr.
Understanding Fajr, Sunrise and Dhuhr
Computed times can differ by a minute or two from a local mosque timetable, which may apply a safety margin, a local horizon correction or a different convention. Follow your local timetable where they differ.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
Can you pray 20 minutes before prayer time?
The five daily prayer times plus sunrise for any date and location, solved from the Sun’s apparent altitude: Fajr and Isha at the twilight depression angles of the chosen authority (Muslim World League, ISNA, Egyptian. On the figures this page opens with — latitude 51.5074 deg, longitude -0.1278 deg and UTC offset of local clocks 1 — the sunrise is 04:43. Put your own figures in their place and the working updates beside the result.
What is the time for each prayer?
On the figures this page opens with — latitude 51.5074 deg, longitude -0.1278 deg and UTC offset of local clocks 1 — the sunrise is 04:43. No single number fits everyone: change any figure above and the answer updates as you type, with each step of the arithmetic beside it.
How to figure out prayer times?
The five daily prayer times plus sunrise for any date and location, solved from the Sun’s apparent altitude: Fajr and Isha at the twilight depression angles of the chosen authority (Muslim World League, ISNA, Egyptian. Open “How this is worked out” beside the result to see each step for your own figures.
What information do I need for the prayer time calculator?
You need Date, Latitude, Longitude, UTC offset of local clocks, Calculation method, Asr and When twilight does not end (high latitudes). The page opens with default figures that give sunrise of 04:43, so you can see the scale before entering your own.
What does this prayer time calculator show?
It shows Fajr, Sunrise, Dhuhr, Asr, Maghrib (sunset), Isha, Length of the day and Length of the night, with the working and any warnings for your entries.
Can I check how the prayer time calculator result was calculated?
Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.