Prayer Time Calculator

Positive north of the equator.
Positive east of Greenwich.
Include daylight saving if it is in force on that date; no zone rule is applied for you.
Sunrise
04:43
Prayer Times Calculator
Dhuhr
13:02
Asr
17:25
Maghrib (sunset)
21:22
Length of the day
16.6414 h
Length of the night
7.3586 h
Asr shadow factor
1
Sun’s altitude at Asr
33.1121 deg
Fajr depression angle
18.00 deg
Isha depression angle
17.00 deg
Solar transit (UT)
12:02
Method
Muslim World League (18 / 17)
Summary
2024-06-21 at 51.5074, -0.1278: Fajr -, sunrise 04:43, Dhuhr 13:02, Asr 17:25, Maghrib 21:22, Isha -.
Worked out from Jean Meeus, Astronomical Algorithms, 2nd edition, chapters 15 (rising, transit and setting) and 25 (solar coordinates) and 2 other sources.
At this latitude and date the Sun does not descend far enough for a true Fajr or Isha; no time is given. Choose the one-seventh rule for an approximation, or follow your local timetable.
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.

How this is worked out

5 steps
  1. Solar transit (Dhuhr) is at 12:02 UT, 13:02 local.
  2. 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.
  3. Sunrise and Maghrib are the crossings of -0.8333 degrees, which allows for refraction and the Sun's semidiameter.
  4. Fajr and Isha are the crossings of -18 and -17 degrees (Muslim World League (18 / 17)).
  5. All times shifted by the UTC offset +1 h to local clock time.

Results are general information, not financial, tax, legal, medical or engineering advice.