Dabir Ahmad Bhatti, UK
Dabir Ahmad Bhatti is a long-serving member of the Moon Sighting Committee for the Ahmadiyya Muslim Community UK
Our moon orbits around the earth in about 27 days, and one complete revolution is by definition one lunar month. Ever since time immemorial, the moon has been a source of fascination for man. Primitive man began to understand the different phases of the moon, though they would not have understood for many centuries that moon light was a reflective light of the sun – a fact revealed by Allah more than 15 centuries ago!
Allah says:
‘He it is Who made the sun radiate a brilliant light and the moon reflect a lustre, and ordained for it stages, that you might know the number of years and the reckoning of time. Allah has not created this but in truth. He details the Signs for a people who have knowledge.’ (The Holy Qur’an, 10:6)
Scientists today hypothesise that the universe was created by a Big Bang and this is confirmed by the Holy Qur’an:
‘Do not the disbelievers see that the heavens and the earth were a closed-up mass, then We opened them out? And We made from water every living thing. Will they not then believe?’ (The Holy Qur’an, 21:31)
Further, the current hypothesis is that after initial Big Bang, as the earth cooled, at some stage it was struck by a large meteorite:
‘The Moon may have formed in the wake of a collision between an early proto-planet and an astronomical body called Theia.’
‘They ask thee about the new moons. Say, “They are means for measuring time for the general good of mankind and for the Pilgrimage.”’ (The Holy Qur’an, 2:190)
‘The reckoning of months with Allah has been twelve months by Allah’s ordinance since the day when He created the heavens and the earth. Of these, four are sacred. That is the right creed.’ (The Holy Qur’an, 9:36)
Like the solar year the lunar year also has 12 months. These 12 months were established amongst the Arabs well before Islam, perhaps even way before Prophet Abraham (as) raised again the fallen relics of the the Holy Ka’bah (today the principal mosque of Islam located in Makkah). The 12 months are as follows:
Muharram, Safar, Rabi’ al-Awwal, Rabi’ al-Thani, Jumada al-Awwal, Jumada al-Thani, Rajab, Sha’ban, Ramadan, Shawwal, Dhu al-Qa’dah, and Dhu al-Hijjah
Of these 12 months, the following 4 months were sacred, and had been sacred for as long as the Arabs can remember, even before Islam:
Dhu al-Qa’dah, Dhu al-Hijjah, Muharram, and Rajab
The Ka’bah had remained focal point since time immemorial, and the Arabs gained from the commerce as a result of the influx of foreign traders who would come to perform their religious rites during the holy month Dhu al-Hijjah. As the lunar month of Dhu all-Hijjah would lag behind the seasons, the Arabs had the practice of interpolation of inserting ‘false’ lunar months so that they could align the month of al-Hijjah with their season of harvest to gain maximum benefit from trade. This practice was banned by Allah:
‘Surely, the postponement of a Sacred Month is an addition to disbelief. Those who disbelieve are led astray thereby. They allow it one year and forbid it another year, that they may agree in the number of the months which Allah has made sacred and thus may make lawful what Allah has forbidden. The evil of their deeds is made to seem fair to them. And Allah guides not the disbelieving people.’ (The Holy Qur’an, 9:37)
The moon is our nearest neighbour and it travels in an ellipse around the earth. The direction of the travel is anti-clockwise.
It travels in an ellipse around the earth. The nearest it gets to the earth is about 357,000km and the furthest is around 406,000Km
Diameter: | 3,475 km |
Mass: | 7.35 × 10^22 kg (0.01 Earths) |
Orbit Distance: | 384,400 km |
Orbit Period: | 27.3 days |
Surface Temperature: | -233 to 123 °C |
‘And for the moon We have appointed stages, till it becomes again like an old dry branch of a palm-tree’ (The Holy Qur’an, 36:40)
As the moon travels around the earth, the light of the sun that falls on the moon is reflected back to us. The part of the moon that is illuminated determines the shape of the moon. The earth itself is titled with respect to the sun, and the moon’s orbit around the earth is on a different plane to the earth’s orbit around the sun.
As can be seen, when the moon is directly in front of the sun, there is no light reaching the moon that is facing the earth. In this position it is impossible to see the moon. This by definition is known as the astronomical New Moon. As explained above, The moon itself does not have any inherent light. What we observe from earth is the reflected light of the sun.
As the moon continues to travel in its orbit, part of the moon begins to receive sunlight and we are able to see a portion of the sun’s light being reflected by the moon.
As the moon moves away from the sun – the thin crescent begins to appear. The further it moves away, the bigger the crescent. It takes about 2 hours to move one degree. For visibility by the naked eye, the moon must move by at least 10 degrees.
Looking at the moon during its stages, one can see the earth’s circular shadow cast upon the moon.
The moon takes approximately 29.53 days (about 29 days and 13 hours) to complete one full orbit of the Earth. The lunar year is 354.4 days (6 months are 29 days and 6 months are 30 days) and is about 10 days shorter than the solar year. This is why we see Ramadan come forward by about 10 days each year.
As the Moon travels in its 29.5 (or so) day orbit, its position changes daily. The Moon’s orbit sometimes takes it between the Earth and the Sun (known as New Moon or the Astronomical New Moon), sometimes opposite the Earth and Sun (known as ‘Full Moon’), and sometimes half way in between (known as ‘First-’ and ‘Third Quarter Moons’). The Moon does not itself produce any light but reflects the light radiated from the Sun. The different amounts of the Moon’s surface lit up by the Sun is seen from the Earth as lunar/Moon phases.
These phases of the Moon change throughout the month in a regular, predictable way. In fact, the phase of the Moon is correlated to its angular distance from the Sun, as seen from the Earth (known also as ‘angle of elongation’ or ‘angular separation’).
The Crescent Moon is usually seen after sunset. As the Moon moves west from the point where the Crescent Moon is first visible on Earth, the crescent becomes thicker. Due to the elliptical orbit of the Moon, the first visibility starts from different locations on the Earth every month. Sometimes, it may start from the Southern hemisphere and sometimes from the Northern hemisphere. It may also start from any location from the east to the west.
The location of the first visibility of the Moon is not repeatable every year (like sunrise/sunset times) because the length of the lunar year (354.4 days) is shorter than the solar year (365.25 days). Hence, it takes approximately 33.5 years for the location of the first Crescent Moon visibility to repeat itself! The Moon can be seen at different positions in the sky, depending on where one observes from – in some locations it will appear higher above the horizon than others. And the path that it takes for moonrise (to go above the horizon) and moonset (to go below the horizon) are different depending on one’s location on Earth. In some locations it will seem like a slanting path while in others it will be more vertical.
The distance of sun and moon from earth varies depending upon their positions in orbit. The sun is at an average distance of about 8.4 light minutes from earth. The moon is at an average distance of 1.38 light seconds (or 0.023 light minutes) from earth.
When the moon is in line with the sun as shown in the picture above, it is in ‘Conjunction’, which is known as the birth of the new moon or the astronomical new moon. At conjunction, the moon is 0 degrees away from the sun. The Islamic month does not start at astronomical new moon.
As early as Babylonian times, it was possible to calculate date and time of conjunction. Today, with modern astronomical calculations, conjunction can be calculated very precisely – to the second!
So the question is, why the uncertainty in the start of Ramadan and when Eid falls?
The moon is used to determine the start of each lunar month. The Holy Prophet (sa) was aware of the neighbouring Jewish tribes, who also kept a lunar calendar. They were able to calculate with a good degree of accuracy, the birth of the new moon.
Yet, the Holy Prophet Muhammad (sa) instructed the Muslims:
‘We are ummiyah (unlettered) people, we neither write nor calculate. The month is this way and that, sometimes 29 days and sometimes 30.’
And again, he said:
‘When you see the new moon, observe fast, and when you see it (again) then break it, and if the sky is cloudy for you, then complete thirty days for the month of Shaban’. (Bukhari and Muslim)
It is upon these guiding principles enunciated by the Holy Prophet (sa) of seeing the crescent moon with the naked eye that lays the foundation for determining the start of each lunar month.
While conjunction or astronomical new moon can be calculated accurately, visibility of the new moon depends on a number of variable conditions and it can take from two to three days from the birth of the astronomical new moon to satisfy those conditions.
Inspired by the guiding principles given by the Holy Prophet (sa), Arab Muslim astronomers embarked on the study of the heavens and began to postulate various theories to predict when the moon could be seen with the naked eye and thus determine the start of the next lunar month.
Several theories were presented by various scholars, amongst the eminent scientists were Al-Biruni (973-1048), Al-Qarafi (1228-1285), Ibn Taymiyyah (1263-1328), Al-Subki (1284-1355) to name a few. Whereas they could all predict accurately when the astronomical new moon was going to be born but predicting when it would be visible to the naked eye was an entirely different matter altogether.
Crescent visibility by the naked eye is dependent on a number of factors resulting in a complex series of computations of the moon in relation to the sun, together with effects of varying and unpredictable atmospheric conditions.
While the Arab astronomers made impressive progress without the aid of modern technological instruments, it was later in the 19th and 20th centuries that scientists of western nations began to get involved.
One important discovery was made by a French astronomer by the name of André-Louis Danjon (6 April 1890 – 21 April 1967) who with extensive study using modern instruments available at the time, came to the conclusion that the moon would be impossible to see even with a telescope if the angle between the sun and the moon was less then 7.5 degrees. This angular separation of the sun and the moon is known as the elongation, and the limiting factor is now known as the Danjon limit.
Today, the Danjon limit still exists, and plays a crucial part in any Crescent Visibility Criteria. The Danjon limit, with further ongoing study by other scientists, has been refined and the general acceptable Danjon limit today is 6.4 degrees. It is important to understand that the Danjon limit is just one of several criteria that forms part of any Crescent Visibility Criteria.
In 1998, Dr Bernard Yallop in his capacity as a lead for HM Nautical Alamanac Office at the Royal Greenwich Observatory, published a criterion based on around 300 sightings and non-sightings of the moon. His algorithm gave a quantitative value ‘q’ which was an indication of the probability of sighting the crescent moon. Using this value of ‘q’ he created the following 6 bands of visibility:
A | q > +0.216 | easily visible to the unaided eye |
B | –0.014 < q < +0.216 | visible to the unaided eye under perfect atmospheric conditions |
C | –0.160 < q < –0.014 | optical aid needed before seen with the unaided eye |
D | –0.232 < q < –0.160 | only visible with binoculars or conventional telescopes |
E | –0.293 < q < –0.232 | not visible with conventional telescopes |
F | q < –0.293 | below the Danjon limit (7°) |
Using the Yallop’s Cresent Visibility Criteria, we can sum up broadly what is required for a positive visibility.
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