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 The Islamic calendar is based on lunar months, which begin when a new
  crescent is sighted in the western sky after sunset within a day or so after
  the New Moon. Hence, the month is either 29 days or 30 days. There are 12
  months in an Islamic year, which is either 354 days or 355 days long,
  compared to the Gregorian calendar year of 365 or 366 days. Since the Islamic
  lunar year has 12 lunar months, it is on an average 11 days shorter than the
  Gregorian year; the Islamic year shifts by about 11 days to an early date
  according to the Gregorian calendar.
 
 The starting date of a month in the Islamic lunar calendar is very important
  in the Islamic world as it determines the essential religious days, like the
  first and last days of fasting, and Muslim holidays.
 
 The Moon
 It takes about 27 days and 8 hours for the Moon to complete one revolution
  around the Earth. At the same time, while revolving around the Earth, the
  Moon rotates around itself. Because of this, we always see the same side of
  the Moon. In the picture below, we see the phases of the Moon. For
  simplicity, the sunlight is fixed, but this is not a problem as the Earth and
  the Moon are revolving around the sun together. The position of the Moon with
  the Earth according to sunlight determines how we see the Moon.
 
 The Moon’s position does not change greatly in one day relative to that of
  the Earth, but the Earth’s rotation around itself changes our position a
  great deal. One might ask then why do we see the Moon as the same shape
  throughout the night. As the figures below suggest, the distance from the
  Moon to the Earth is much greater than the diameter of the Earth. While the
  closest distance of the Moon to the Earth is around 350 thousand kilometers,
  the diameter of the Earth is around 13 thousand kilometers. Because of this
  huge difference, we see almost the same shape of the Moon anywhere in the
  world— this “almost” will cause many problems, when we determine the dates in
  lunar calendar. On the other hand, the place where we see the Moon in the sky
  depends on our parallel on the Earth. In other words, the northern observer
  sees the Moon at a lower place in the sky, while the southern one sees the
  Moon at a higher place in the sky. This is because the Earth is round and our
  horizon changes if we go to the north or the south.
 
 Now, let’s examine another point. We have just said that the Moon completes
  one revolution around the Earth in 27 days and 8 hours. However, the time
  between two New Moons is around 29 and a half days. How does this happen? The
  reason is not very hard to understand. While the Moon is revolving around the
  Earth, the Earth revolves around the Sun. Hence, when the Moon completes one
  full revolution around the Earth and comes to the same point from where it
  had started, the position of the sunlight changes and the Moon’s shape, as we
  perceive it, has changed.
 
 
 the Moon completes one full revolution around the Earth and comes to the same
  point from where it had started, the position of the sunlight changes and the
  Moon’s shape, as we perceive it, has changed.
 
 Now, let’s make some computations. How much does the angle of the sun change
  in 27 days and 8 hours? The Earth completes one revolution around the Sun in
  365 days, so there are 365 days in one year. So the angle change should be
  about 27 days /365 days x 360 ~ 27 degrees. So, how long does it take to
  complete 27 degrees in the revolution of the Moon around the Earth? One
  complete revolution takes 27 days and 8 hours. Hence, 27 days x 27/360 ~ 2
  days. So, we add 2 days to 27 days and 8 hours, we get about 29 days and a
  half. Therefore, in this time period, the Moon comes to the same position as
  the Earth according to sunlight, and we see the same shape of the Moon in the
  sky. When we do an exact calculation, we get 29 days, 12 hours, 44 minutes,
  and 3 seconds for the time period between two new Moons.
 
 The Islamic lunar calendar
 The earliest calendars in human history were based on the phases of the Moon.
  Historically, this was used by southern Europeans, as well as Jewish,
  Chinese, Muslim, and African civilizations. Some of these civilizations are
  still using semi-lunar calendars, but the Muslim calendar is the only purely
  lunar calendar in widespread use today. In the Qur’an, there are many
  references to the moon as a means of measuring time (see Rahman 55:5, Yunus
  10:5; Baqara 2:189).
 
 In a lunar calendar, a month is the period between the two consecutive new
  Moons. Since the exact period between two new Moons is 29 days, 12 hours, 44
  minutes, and 3 seconds, a month in a lunar calendar is either 29 days, or 30
  days, depending on the appearance of the Moon at night.
 
 Now, let’s examine another point. We have just said that the Moon completes
  one revolution around the Earth in 27 days and 8 hours. However, the time
  between two New Moons is around 29 and a half days. How does this happen? The
  reason is not very hard to understand. While the Moon is revolving
  around the Earth, the Earth revolves around the Sun.
  Hence, when 
  
 The Islamic calendar was introduced in 632 by the Prophet, peace be upon him;
  however the beginning of the Islamic era for the count of Islamic years was
  considered and discussed in 639, during the time of the fourth year of the
  Caliphate of Umar. For the Islamic lunar calendar, the time that a month
  started was decided according to the following hadith. The Prophet said:
  “Fast when you see the Moon and break your fast when you see the next Moon.
  But if you cannot see it, then complete the 30th day [of fasting].” Hence, in
  the Islamic lunar calendar, the first day of a month is the day after the
  first night on which you can see the new crescent Moon. Since the Moon’s
  orbit around the Earth is 29 days and a half, Islamic months are either 29 or
  30 days long. If there is doubt or if the new crescent Moon is not sighted
  due to clouds or other atmospheric conditions, then it has been agreed upon
  by Muslim scholars that the previous month is completed after 30 days.
 
 The controversy
 Now, let’s turn to the controversy in determining the first day of a new
  month in the Islamic lunar calendar. There are essentially two main issues,
  which are “Local vs. Non-local Sighting,” and “Naked Eye Observation vs.
  Astronomical Data.”
 
 i. Local vs. non-local sighting
 Since the cycles of the Moon and the sun are not completely synchronized, the
  new crescent Moon might not be observed everywhere in the world on the same
  night. As we mentioned above, the shape of the Moon is seen almost the same
  anywhere in the world, but not exactly same. On the same night, Spain might
  observe the new crescent Moon while Japan might see nothing in the sky. The
  only thing we can say about these observations is that if one city observes
  the new crescent Moon, than any city to the west of the original one should
  be able to observe the same on a clear night, as the Earth rotates about
  itself from west to east. This means the new crescent Moon can be observed on
  different nights in different places in the world. There are essentially two
  different opinions on which Moon sighting should be taken as the basis. The
  first opinion asserts that all Muslims in the world should begin the new
  month if the new crescent Moon is sighted in any Muslim country, and the
  second one says that the new month starts only with a local Moon sighting.
 
  The scholars defending the non-local Moon sighting give evidence from other
  Islamic practices. They claim that all Muslims should start the fasting and
  the Eid on the same day, as many practices of Islam suggest that the unity of
  Muslims is important in Islam; hence Muslims should celebrate these days in
  unity. So, according to this view, if the Moon is sighted, for example, in
  Saudi Arabia, all Muslims should start fasting. This is the common opinion
  among the followers of the Sunni Hanbali school. On the other hand, some
  other Islamic scholars assert that the starting day of a month in the Islamic
  lunar calendar might be different depending on local observations. Those
  scholars derive this result from the principle of simplicity in Islam. All
  people should be able to perform the practices of Islam by themselves without
  the need of any outside input. In other words, a Muslim should be able to
  decide by themselves when Ramadan starts by observing the Moon. A Muslim in
  Brazil might not get the information of the sighting in Mecca, and this
  contradicts the simplicity of practices in Islam. A Muslim can determine the
  prayer times by observing the sun’s position in the sky, and similarly,
  therefore, they should be able to decide about the starting time and ending
  time of the fast.
 
 So, the first controversial point in Moon sighting is about whether it is
  local or non-local. The second issue is about how we make the observations.
 
 ii. Naked Eye Observation vs. Astronomical Data
 We are living in the 21st century, and astronomy is a very well-developed
  science. Man can go to space, observe the distant galaxies, and even observe
  the expansion of the universe. Hence, at such a time, calculating the times
  of the visibility of the Moon for a given location should be very
  straightforward for astronomers. So, why is still there an ambiguity about
  the starting date of a month in the Islamic lunar calendar?
 
 In the Islamic lunar calendar, the month starts with the visibility of the
  Moon, not the scientific phase of the Moon. In other words, “Theoretical
  Visibility” is not the same as “Real Visibility.” If the Moon was a perfectly
  round sphere with a perfectly flat surface, if the atmospheric conditions
  were always very clear and did not affect our vision, or if there were no
  other physical conditions affecting the Moon sighting, then “Theoretical
  Visibility” would be the same as “Real Visibility,” and we would be able to
  compute the exact times when we could sight the new crescent Moon by using
  astronomical data. However, there is an important difference between theory
  and real life; hence, the problem lies in this difference. Even though the
  astronomical data tell you the positions of the Moon, the Earth and the Sun,
  the visibility of the Moon from the Earth depends on many different factors.
 
 This difference between “Theoretical Visibility” and “Real Visibility” is the
  origin of the second controversy about the starting day of a month. Some
  Muslim scholars interpret the theoretical visibility as being sufficient to
  start the month, and as they determine the dates of the lunar calendar by
  using astronomical data, they do not bother with sighting the Moon. That is,
  they know the dates for Ramadan for the following 100 years, and they
  practice according to this calendar depending only on the astronomical data.
  However, some other scholars assert that people must be able to sight the new
  crescent Moon with the naked eye for the month to start. Since astronomical
  data and naked eye observation are not always in sync, some Muslims might
  start fasting in Ramadan on a different day from other Muslims.
 
 Now, let’s return to the question as to why astronomical data and naked eye
  observation are not in sync. Scientifically, there are two main factors
  affecting the visibility of the Moon other than atmospheric conditions or
  clouds. The first one is the Moon’s altitude measured from the horizon. The
  second one is the age of the Moon, that is, the time after the new Moon (when
  the Sun, Earth, and Moon are in line). To see the Moon in the sky, it should
  be “high” enough above the horizon, and it should be “old” enough (the
  crescent should be sufficiently pronounced).
 
 The first important factor is the Moon’s altitude above the horizon. If the
  thickness of the crescent is sufficient, but if it is not sufficiently above
  the horizon, then it cannot be seen. This happens in the month of September
  and October in the UK and the USA, when the Moon is in the southern
  hemisphere, therefore, it cannot be seen from northern hemisphere. If the
  Moon is above the horizon, but close to it, falling within the glare of the
  Sun, then it may not be visible. A crescent within an altitude of 10 degrees
  is usually not visible.
 
 The second important factor is the age of the Moon. When the New Moon has moved
  away at least about 7 degrees and it is about 20 hours old, then it becomes
  visible. Until this angle becomes 7 degrees, no light of the sun reflected by
  the Moon can come to the Earth, because the mountains on the surface of the
  Moon block the sun’s light. This angle must be about 10-12 degrees for
  sufficient sunlight to reflect off the Moon and come to the Earth, making a
  thin crescent which can be seen. Sometimes, this crescent is very thin and
  very low on the horizon, so it will not be seen, as it fades due to the glare
  of the sun, even though it may remain above the horizon for 20-30 minutes
  after sunset. There are many other factors involved in visibility. Without
  going into technical details, due to other factors, even a 36 hour old Moon
  may not be visible. Therefore, human knowledge so far has not reached the
  stage at which it can inform us of the Moon’s visibility in different
  countries with an accuracy of minutes and seconds, but calculations can be
  made within a few hours difference.
 
 So, these facts show that astronomical data provide a good means for
  estimating the starting day of the new month, but it cannot tell us exactly
  when it begins. There are some Muslim experts who are working on this
  problem. By using data from the past, they are trying to calculate more
  accurately the times of the visible Moon for all locations in the world.
 
 On the other hand, this uncertainty of the starting day makes Muslims more
  aware, and keeps their attention on Ramadan and other festivities. In many
  countries, Muslims go to hilltops to observe the new crescent in the night,
  watching the Moon-sighting news on the internet, or calling their friends
  about it to welcome Ramadan. Hence, the uncertainty of the day causes the
  Muslim community to be more aware about Ramadan. There are some Muslim
  experts who have been working on this problem. By using data from the past,
  they are trying to calculate more accurately the times of the visible Moon
  for all locations in the world. Finally in 2006, they released an algorithm
  which can detect the visibility of the Moon by using astronomical data; ISNA
  (the Islamic Society of North America) has adopted this method to determine
  the starting day of the Islamic Lunar month. This algorithm makes use of
  several thousand controlled observations, collected over a period of 150
  years in different locations of the world. Moreover, these visibility
  calculations have been confirmed by observations of the Moon made every month
  since 1993. Again, this algorithm does not depend upon purely astronomical
  data, but rather the observational data of the last 150 years. The
  researchers, Khalid Shaukat et al., used these observations, and comparing
  them with the astronomical data of the same time were able to attain
  information about the degree of the Moon and at which geographical position
  of the Earth the Moon became visible. For more information, please visit
  www.Moonsighting.com.
 
 To sum up, we have provided an overview of the controversies about the
  starting day of the month in the Islamic lunar calendar. There are
  essentially two points of controversy which are “Local vs. Non-local
  Sighting,” and “Naked Eye Observation vs. Astronomical Data.” We have
  attempted to show that these controversies are not as simple as many people
  might think. So, if there are different starting days for Ramadan, or
  different celebration dates for Islamic holidays for different Muslim
  communities, we should not see this situation as a huge controversy caused
  over a small issue. As the Prophet Muhammad said: “The difference of opinion
  among my followers is a mercy.”
 
 
 
 References
 1. Dr Jamie Love, The Phases of the Moon, http://www.synapses.
  co.uk/astro/Moon2.html
 2. Syed Khalid Shaukat, What is Islamic Calendar, http://www.
  Moonsighting.com/islamcal.html
 3. Syed Khalid Shaukat, The Science of Moon Sighting, http://
  www.ummah.net/Moonsighting/science/Moonscie.htm
 4. Zahoor Niazi, The Question of Moon Sighting, http://www.
  Moonsighting.com/question-rooyat-hilal.mht
 5. The Moon, http://www.enchantedlearning.com/subjects/astronomy/
  Moon/index.shtml
 6. Moon Calendars, http://www.riverocean.org.uk/lunarcalendar/ calendar.htm
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