Islamic Calendar based on predicted lunar visibility

International Lunar Date Lines


Introduction

Islamic months begin at sunset on the day of visual sighting of the lunar crescent. Even though visual sighting is necessary to determine the start of a month, it is useful to accurately predict when a crescent is likely to be visible in order to produce lunar calendars in advance. Although it is possible to calculate the position of the moon in the sky with high precision, it is often difficult to predict if a crescent will be visible from a particular location. Visibility depends on a large number of factors including weather condition, the altitude of the moon at sunset, the closeness of the moon to the sun at sunset, the interval between sunset and moonset, atmospheric pollution, the quality of the eyesight of the observer, use of optical aids etc. Since ancient times, many civilisations and astronomers have tried to predict the likelihood of visualising the new moon using different 'minimum visibility criteria'. However, all these criteria are subject to varying degrees of uncertainty.


International Lunar Date Lines

The subject of crescent visibility has been studied in modern times by Prof. Ilyas in Malaysia who has developed several visibility criteria and the concept of the International Lunar Date Line (ILDL). Ilyas's main criterion depends on the moon's altitude (in degrees) above the horizon at sunset and the moon's angular distance from the sun (relative azimuth) at sunset. If a moon's altitude and relative azimuth are greater than certain threshold values, then the moon is likely to be visible. The ILDL is a curved line on a world map which separates areas (west of the line) where the crescent is likely to be seen at the start of the lunar month from areas (east of the line) where the crescent is unlikely to be seen. The probability of sighting the crescent increases as one travels west of the ILDL and diminishes as one travels east of the ILDL. Unlike the solar date line which has a fixed position, the position of the ILDL moves from month to month.


Computer Generated World Maps

A computer program called MoonCalc by Dr. Monzur Ahmed was used to search the world for locations which satisfy Ilyas's altitude/relative azimuth criterion at the start of a lunar month. On the basis of this scan, world maps for the start of each lunar month were drawn showing areas where the crescent is likely to be seen first. The different coloured bands represent the age of the moon at sunset on the day of predicted sighting. MoonCalc has many other features and also supports several other crescent sighting criteria.


Download MoonCalc


With the maps below:



Click thumbnails of maps to see full-sized maps



1420 AH

Muharram starts 17 or 18 April 1999

Conjunction: 16 April 1999, 04:23 TD

16 April apr1699s.gif (1878 bytes)17 April

 


Safar starts (16 or) 17 May 1999

Conjunction: 15 May 1999, 12:06 TD

15 May may1599s.gif (1620 bytes) 16 May


 

Rabi Al-Awwal starts 15 or 16 June 1999

Conjunction: 13 June 1999, 19:04 TD

14 June jun1499s.gif (2142 bytes) 15 June


 

Rabi Al-Thani starts (14 or) 15 July 1999

Conjunction: 13 July 1999, 02:25 TD

13 July jul1399s.gif (1829 bytes)14 July


 

Jumad Al-Ula starts 13 (or 14) August 1999

Conjunction: 11 August 1999, 11:10 TD

12 Aug aug1299s.gif (2329 bytes) 13 Aug


 

Jumad Al-Thani starts 11 or 12 September 1999

Conjunction: 9 September 1999, 22:03 TD

10 Sep sep1099s.gif (1937 bytes) 11 Sep


 

Rajab starts 11 (or 12) October 1999

Conjunction: 9 October 1999, 11:36 TD

10 Oct oct1099s.gif (2289 bytes) 11 Oct

 


Sha'ban starts (9) or 10 November 1999

Conjunction: 8 November 1999, 03:54 TD

8 Nov nov0899s.gif (1712 bytes) 9 Nov

 


Ramadhan starts 9 or 10 December 1999

Conjunction: 7 December 1999, 22:33 TD

8 Dec dec0899s.gif (1837 bytes) 9 Dec

 


Shawwal starts 8 or 9 January 2000

Conjunction: 6 January 2000, 18:15 TD

7 Jan jan0700s.gif (1951 bytes) 8 Jan

 


Zul-Qida starts 7 (or 8) Feb 2000

Conjunction: 5 February 2000, 13:04 TD

6 Feb feb0600s.gif (2227 bytes) 7 Feb


 

Zul-Hijja starts (7 or) 8 March 2000

Conjunction: 6 March 2000, 05:18 TD

6 March mar0600s.gif (1687 bytes) 7 March

1421 AH

 

Muharram starts 6 or 7 April 2000

Conjunction: 4 April 2000, 18:13 TD

5 April apr0500s.gif (2175 bytes) 6 April

 


Please note :

Conjunction (astronomical new moon) is used to describe the time of the birth of a new moon when the earth, sun and moon are in the same plane. Conjunction is NOT the same as visible new moon. Usually the moon has to be at least 15 hours old before it can be seen from somewhere on earth. Conjunction times are given in Terrestrial Dynamical Time (TD). TD is a uniform time scale based on the atomic clock and is not influenced by the earth's irregular and unpredictable rotation (unlike GMT and Universal Time). TD tends to be favoured by astronomers for accurate work.


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Copyright © by Dr. Monzur Ahmed. Last updated: 2nd May 1999

  monz@starlight.demon.co.uk