Qibla
The qibla () is the direction towards the Kaaba in the Sacred Mosque in Mecca, which is used by Muslims in various religious contexts, particularly the direction of prayer for the salah. In Islam the Kaaba is believed to be a sacred site built by prophets Abraham and Ishmael, and that its use as the qibla was ordained by God in several verses of the Quran revealed to Muhammad in the second Hijri year. Prior to this revelation, Muhammad and his followers in Medina faced Jerusalem for prayers. Most mosques contain a "mihrab" (a wall niche) that indicates the direction  of the qibla. The qibla is also the direction for entering the "ihram" (sacred state for the hajj pilgrimage); the direction to which animals are turned during "dhabihah" (Islamic slaughter); the recommended direction to make "dua" (supplications); the direction to avoid when relieving oneself or spitting; and the direction to which the deceased are aligned when buried. The qibla may be observed facing the Kaaba accurately ("ayn al-ka'bah") or facing in the general direction ("jihat al-ka'bah"). Most Islamic scholars consider that "jihat al-ka'bah" is acceptable if the more precise "ayn al-ka'bah" cannot be ascertained. The  most common technical definition used by Muslim astronomers for a location is the direction of the great circle—in the Earth's sphere—passing through the location and the Kaaba. This is the direction of the shortest possible path from a place to the Kaaba, and allows the exact calculation ("hisab") of the qibla using a spherical trigonometric formula that takes the coordinates of a location and of the Kaaba as inputs (see formula below). The method is applied to develop mobile applications and websites for Muslims, and to compile qibla tables used in instruments such as the qibla compass . The qibla can also be determined at a location by observing the shadow of a vertical rod on the twice-yearly occasions when the sun is directly overhead in Mecca—on 27 and 28 May at 12:18 Saudi Arabia Standard Time (09:18 UTC), and on 15 and 16 July at 12:27 SAST (09:27 UTC). Before the development of astronomy in the Islamic world, Muslims used traditional methods to determine the qibla. These methods included facing the direction that the companions of Muhammad had used when in the same place; using the setting and rising points of celestial objects; using the  direction of the wind; or using due south, which was Muhammad's qibla in Medina. Early Islamic astronomy was built on its Indian and Greek counterparts, especially the works of Ptolemy, and soon Muslim astronomers developed methods to calculate the approximate directions of the qibla, starting from the mid-9th century. In the late 9th and 10th centuries, Muslim astronomers developed methods to find the exact direction of the qibla which are equivalent to the modern formula. Initially, this "qibla of the astronomers" was used alongside various traditionally determined qiblas, resulting in much diversity in medieval Muslim cities. In addition, the  accurate geographic data necessary for the astronomical methods to yield an accurate result was not available before the 18th and 19th centuries, resulting in further diversity of the qibla. Historical mosques with differing qiblas still stand today throughout the Islamic world. The spaceflight of a devout Muslim, Sheikh Muszaphar Shukor, to the International Space Station (ISS) in 2007 generated a discussion with regard to the qibla direction from low Earth orbit, prompting the Islamic authority of his home country, Malaysia, to recommend determining the qibla "based on what is possible" for the astronaut. Location. The qibla is the direction of  the Kaaba, a cube-like building at the centre of the Sacred Mosque ("al-Masjid al-Haram") in Mecca, in the Hejaz region of Saudi Arabia. Other than its role as qibla, it is also the holiest site for Muslims, also known as the House of God ("Bait Allah") and where the (the circumambulation ritual) is performed during the Hajj and umrah pilgrimages. The Kaaba has an approximately rectangular ground plan with its four corners pointing close to the four cardinal directions. According to the Quran, it was built by Abraham and Ishmael, both of whom are prophets in Islam . Few historical records remain detailing the history of the Kaaba before the rise of Islam, but in the generations prior to Muhammad, the Kaaba had been used as a shrine of the pre-Islamic Arabic religion. The qibla status of the Kaaba (or the Sacred Mosque in which it is located) is based on the verses 144, 149, and 150 of the al-Baqarah chapter of the Quran, each of which contains a command to "turn your face toward the Sacred Mosque" ("fawalli wajhaka shatr al-Masjid il-Haram"). According to Islamic traditions, these verses were revealed in the month  of Rajab or Shaban in the second Hijri year (624 CE), or about 15 or 16 months after Muhammad's migration to Medina. Prior to these revelations, Muhammad and the Muslims in Medina had prayed towards Jerusalem as the qibla, the same direction as the prayer direction—the mizrah—used by the Jews of Medina. Islamic tradition says that these verses were revealed during a prayer congregation; Muhammad and his followers immediately changed their direction from Jerusalem to Mecca in the middle of the prayer ritual. The location of this event became the Masjid al-Qiblatayn ("The Mosque of the  Two Qiblas"). There are different reports of the qibla direction when Muhammad was in Mecca (before his migration to Medina). According to a report cited by historian al-Tabari and exegete (textual interpreter) al-Baydawi, Muhammad prayed towards the Kaaba. Another report, cited by al-Baladhuri and also by al-Tabari, says that Muhammad prayed towards Jerusalem while in Mecca. Another report, mentioned in Ibn Hisham's biography of Muhammad, says that Muhammad prayed in such a way as to face the Kaaba and Jerusalem simultaneously. Today Muslims of all branches, including the Sunni and the Shia, all pray towards  the Kaaba. Historically, one major exception was the Qarmatians, a now-defunct syncretic Shia sect which rejected the Kaaba as the qibla; in 930, they sacked Mecca and for a time took the Kaaba's Black Stone to their centre of power in Al-Ahsa, with the intention of starting a new era in Islam. Religious significance. Etymologically, the Arabic word "qibla" () means "direction". In Islamic ritual and law, it refers to a special direction faced by Muslims during prayers and other religious contexts. Islamic religious scholars agree that facing the qibla is a necessary condition for the validity of  salah—the Islamic ritual prayer—in normal conditions; exceptions include prayers during a state of fear or war, as well as non-obligatory prayers during travel. The (Muhammad's tradition) also prescribes that Muslims face the qibla when entering the "ihram" (sacred state for hajj), after the middle (stone-throwing ritual) during the pilgrimage. Islamic etiquette ("adab") calls for Muslims to turn the head of an animal when it is slaughtered, and the faces of the dead when they are buried, toward the qibla. The qibla is the preferred direction when making a supplication and is to be avoided when  defecating, urinating, and spitting. Inside a mosque, the qibla is usually indicated by a "mihrab", a niche in its qibla-facing wall. In a congregational prayer, the imam stands in it or close to it, in front of the rest of the congregation. The "mihrab" became a part of the mosque during the Umayyad period and its form was standardised during the Abbasid period; before that, the qibla of a mosque was known from the orientation of one of its walls, called the qibla wall. The term "mihrab" itself is attested only once in the Quran, but it refers to  a place of prayer of the Israelites rather than a part of a mosque. The Mosque of Amr ibn al-As in Fustat, Egypt, one of the oldest mosques, is known to have been built originally without a "mihrab", though one has since been added. Section::::"Ayn al-ka'bah" and "jihat al-ka'bah". "Ayn al-ka'bah" ("standing so as to face the Kaaba head-on") is a position facing the qibla so that an imaginary line extending from the person's line of sight would pass through the Kaaba. This manner of observing the qibla is easily done inside the Great  Mosque of Mecca and its surroundings, but given that the Kaaba is less than wide, this is virtually impossible from distant locations. For example, from Medina, with a straight-line distance from the Kaaba, a one-degree deviation from the precise imaginary line—an error hardly noticeable when setting one's prayer mat or assuming one's posture—results in a shift from the site of the Kaaba. This effect is amplified when further than Mecca: from Jakarta, Indonesia—some away, a one-degree deviation causes more than a shift, and even an arc second's deviation——causes a more  than shift from the location of the Kaaba. In comparison, the construction process of a mosque can easily introduce an error of up to five degrees from the calculated qibla, and the installation of prayer rugs inside the mosque as indicators for worshipers can add another deviation of five degrees from the mosque's orientation. A minority of Islamic religious scholars—for example Ibn Arabi (d. 1240)—consider "ayn al-ka'bah" to be obligatory during the ritual prayer, while others consider it obligatory only when one is able. For locations further than Mecca, scholars such as Abu Hanifa (d. 699) and  Al-Qurtubi (d. 1214) argue that it is permissible to assume "jihat al-ka'bah", facing only the general direction of the Kaaba. Others argue that the ritual condition of facing the qibla is already fulfilled when the imaginary line to the Kaaba is within one's field of vision. For instance, there are legal opinions that accept the entire southeastern quadrant in Al-Andalus (Islamic Iberian Peninsula), and the southwestern quadrant in Central Asia, to be valid qibla. Arguments for the validity of "jihat al-ka'bah" include the wording of the Quran, which commands Muslims only to "turn [one's ] face" toward the Great Mosque, and to avoid imposing requirements that would be impossible to fulfill if "ayn al-ka'bah" were to be obligatory in all places. The Shafi'i school of Islamic law, as codified in Abu Ishaq al-Shirazi's 11th-century "Kitab al-Tanbih fi'l-Fiqh", argues that one must follow the qibla indicated by the local mosque when one is not near Mecca or, when not near a mosque, to ask a trustworthy person. When this is not possible, one is to make one's own determination—to exercise "ijtihad"—by the means at one's disposal. Determination . Theoretical basis: the great circle. A great circle, also called the orthodrome, is any circle on a sphere whose centre is identical to the centre of the sphere. For example, all lines of longitude are great circles of the Earth, while the equator is the only line of latitude that is also a great circle (other lines of latitude are centered north or south of the centre of the Earth). The great circle is the theoretical basis in most models that seek to mathematically determine the direction of the qibla from a locality. In such models, the qibla is defined  as the direction of the great circle passing through the locality and the Kaaba. One of the properties of a great circle is that it indicates the shortest path connecting any pair of points along the circle—this is the basis of its use to determine the qibla. The great circle is similarly used to find the shortest flight path connecting the two locations—therefore the qibla calculated using the great circle method is generally close to the direction of the locality to Mecca. As the ellipsoid is a more accurate figure of the Earth than a perfect sphere, modern  researchers have looked into using ellipsoidal models to calculate the qibla, replacing the great circle by the geodesics on an ellipsoid. This results in more complicated calculations, while the improvement in accuracy falls well within the typical precision of the setting out of a mosque or the placement of a mat. For example, calculations using the GRS 80 ellipsoidal model yields the qibla of 18°47′06″ for a location in San Francisco, while the great circle method yields 18°51′05″. Calculations with spherical trigonometry. The great circle model is applied to calculate the qibla using spherical trigonometry—a  branch of geometry that deals with the mathematical relations between the sides and angles of triangles formed by three great circles of a sphere (as opposed to the conventional trigonometry which deals with those of a two-dimensional triangle). In the accompanying figure (captioned "Calculating the qibla"), a location formula_1, the Kaaba formula_2, and the north pole formula_3 form a triangle on the sphere of the earth. The qibla is indicated by formula_4, which is the direction of the great circle passing through both formula_1 and formula_2. The qibla can also be expressed as an angle, formula_7 (or formula_8), of  the qibla with respect to the north, also called the "inhiraf al-qibla". This angle can be calculated as a mathematical function of the local latitude formula_9, the latitude of the Kaaba formula_10, and the longitude difference between the locality and the Kaaba formula_11. This function is derived from the cotangent rule which applies to any spherical triangle with angles formula_12, formula_13, formula_14 and sides formula_15, formula_16, formula_17: formula_18 Applying this formula in the spherical triangle formula_19 (substituting formula_20) and applying trigonometric identities obtain: formula_21, or formula_22 For example, the qibla from the city of Yogyakarta, Indonesia, can be calculated  as follows. The city's coordinates, formula_9, are 7.801389°S, 110.364444°E, while the Kaaba's coordinates, formula_10, are 21.422478°N, 39.825183°E. The longitude difference formula_11 is (110.364444 minus 39.825183) 70.539261. Substituting the values into the formula obtains: formula_26. which gives: formula_27. The calculated qibla for the city of Yogyakarta is therefore 295°, or 25° north of west. This formula was derived by modern scholars, but equivalent methods have been known to Muslim astronomers since the 9th century (3rd century ), developed by various scholars, including Habash al-Hasib (active in Damascus and Baghdad  ), Al-Nayrizi (Baghdad, ), Ibn Yunus (10th–11th century), Ibn al-Haytham (11th century), and Al-Biruni (11th century). Today spherical trigonometry also underlies nearly all applications or websites which calculate the qibla. When the qibla angle with respect to the north, formula_8, is known, true north needs to be known to find the qibla in practice. Common practical methods to find it include the observation of the shadow at the culmination of the sun—when the sun crosses exactly the local meridian. At this point, any vertical object would cast a shadow oriented in the north–south direction. The result of  this observation is very accurate, but it requires an accurate determination of the local time of culmination as well as making the correct observation at that exact moment. Another common method is using the compass, which is more practical because it can be done at any time; the disadvantage is that the north indicated by a magnetic compass differs from true north. This magnetic declination can measure up to 20°, which can vary in different places on Earth and changes over time. Shadow observation. As observed from Earth, the sun appears to "shift" between the Northern and Southern Tropics  seasonally; additionally, it appears to move from east to west daily as a consequence of the earth's rotation. The combination of these two apparent motions means that every day the sun crosses the meridian once, usually not precisely overhead but to the north or to the south of the observer. In locations between the two tropics—latitudes lower than 23.5° north or south—at certain moments of the year (usually twice a year) the sun passes almost directly overhead. This happens when the sun crosses the meridian while being at the local latitude at the same time. The  city of Mecca is among the places where this occurs, due to its location at 21°25′ N. It occurs twice a year, firstly on 27/28 May at about 12:18 Saudi Arabia Standard Time (SAST) or 09:18 UTC, and secondly on 15/16 July at 12:27 SAST (09:27 UTC). As the sun reaches the zenith of the Kaaba, any vertical object on earth that receives sunlight cast a shadow that indicates the qibla ("see picture"). This method of finding the qibla is called "rasd al-qiblat" ("observing the qibla"). Since night falls on the hemisphere opposite of the Kaaba, half  the locations on Earth (including Australia as well as most of the Americas and the Pacific Ocean) cannot observe this directly. Instead, such places observe the opposite phenomenon when the sun passes above the antipodal point of the Kaaba (in other words, the sun passes directly underneath the Kaaba), causing shadows in the opposite direction from those observed during "rasd al-qiblat". This occurs twice a year, on 14 January 00:30 SAST (21:30 UTC the previous day) and 29 November 00:09 SAST (21:09 UTC the previous day). Observations made within five minutes of the "rasd al-qiblat" moments or  its antipodal counterparts, or at the same time of the day two days before or after each event, still show accurate directions with negligible difference. On the world map. Spherical trigonometry provides the shortest path from any point on earth to the Kaaba, even though the indicated direction might seem counterintuitive when imagined on a flat world map. For example, the qibla from Alaska obtained through spherical trigonometry is almost due north. This apparent counter-intuitiveness is caused by projections used by world maps, which by necessity distort the surface of the Earth. A straight line shown by the world  map in using the Mercator projection is called the rhumb line or the loxodrome, which is used to indicate the qibla by a minority of Muslims. It can result in a dramatic difference in some places; for example, in some parts of North America the flat map shows Mecca in the southeast while the great circle calculation shows it to the northeast. In Japan the map shows it to the southwest, while the great circle shows it to the northwest. The majority of Muslims, however, follow the great circle method. A retroazimuthal projection is any map projection which preserves the  angular direction (the azimuth) of the great circle path from any point of the map to a point selected as the center of the map. The initial purpose of its development was to help finding the qibla, by choosing the Kaaba as the center point. The earliest surviving works using this projection were two astrolabe-shaped brass instruments created in 18th-century Iran. They contain grids covering locations between Spain and China, label the locations of major cities along with their names, but do not show any coastline. The first of the two was discovered in 1989; its diameter is  and it has a ruler with which one can read the direction of Mecca from the markings on the instrument's circumference, and the distance to Mecca from the markings on the ruler. Only the second one is signed by its creator, Muhammad Husayn. The first formal design of a retroazimuthal projection in the Western literature is the Craig projection or the Mecca projection, created by the Scottish mathematician James Ireland Craig, who worked at the Survey Department of Egypt, in 1910. His map is centered in Mecca and its range is limited to show the predominantly Muslim lands. Extending  the map further than 90° in longitude from the center will result in crowding and overlaps. Traditional methods. Historical records and surviving old mosques show that throughout history the qibla was often determined by simple methods based on tradition or "folk science" not based on mathematical astronomy. Some early Muslims used due south everywhere as the qibla, literally following Muhammad's instruction to face south while he was in Medina (Mecca is due south of Medina). Some mosques as far away as al-Andalus to the west and Central Asia to the east face south, even though Mecca is  nowhere near that direction. In various places, there are also the "qiblas of the companions" ("qiblat al-sahaba"), those which were used there by the Companions of the Prophet—the first generation of Muslims, who are considered role models in Islam. Such directions were used by some Muslims in the following centuries, side by side with other directions, even after Muslim astronomers used calculations to find more accurate directions to Mecca. Among the directions described as the qiblas of the companions are due south in Syria and Palestine, the direction of the winter sunrise in Egypt, and the direction of  the winter sunset in Iraq. The direction of the winter sunrise and sunset are also traditionally favoured because they are parallel to the walls of the Kaaba. Development of methods. Pre-astronomy. The determination of qibla has been an important problem for Muslim communities throughout history. Muslims are required to know the qibla to perform their daily prayers, and it is also needed to determine the orientation of mosques. When Muhammad lived among the Muslims in Medina (which, like Mecca, is also in the Hejaz region), he prayed due south, according to the known direction of Mecca. Within the few  generations after Muhammad's death in 632, Muslims had reached places far away from Mecca, presenting the problem of determining the qibla in new locations. Mathematical methods based on astronomy would develop only at the end of the 8th century or the beginning of the 9th, and even then they were not initially popular. Therefore, early Muslims relied on non-astronomical methods. There was a wide range of traditional methods in determining the qibla during the early Islamic period, resulting in different directions even from the same place. In addition to due south and the qiblas of the companions, the  Arabs also knew a form of "folk" astronomy—called so by the historian of astronomy David A. King to distinguish it from conventional astronomy, which is an exact science—originating from pre-Islamic traditions. It used natural phenomenon, including the observation of the Sun, the Moon, the stars, and wind, without any basis in mathematics. These methods yield specific directions in individual localities, often using the fixed setting and rising points of a specific star, the sunrise or sunset at the equinoxes, or at the summer or the winter solstices. Historical sources record several such qiblas, for example: sunrise at  the equinoxes (due east) in the Maghreb, sunset at the equinoxes (due west) in India, the origin of the north wind or the fixed location of the North Star in Yemen, the rising point of the star "Suhayl" (Canopus) in Syria, and the midwinter sunset in Iraq. Such directions appear in texts of "fiqh" (Islamic jurisprudence) and texts of folk astronomy. Astronomers (aside from folk astronomers) typically do not comment on these methods, but they were not opposed by Islamic legal scholars. The traditional directions were still in use when methods were developed to calculate the qibla more accurately, and  they still appear in some surviving medieval mosques today. With astronomy. The study of astronomy—known as "ilm al-falak" () in the Islamic intellectual tradition—began to appear in the Islamic World in the second half of the 8th century, centred in Baghdad, the principal city of the Abbasid Caliphate. Initially, the science was introduced through the works of Indian authors, but after the 9th century the works of Greek astronomers such as Ptolemy were translated into Arabic and became the main references in the field. Muslim astronomers preferred Greek astronomy because they considered it to be better supported by  theoretical explanations and therefore it could be developed as an exact science; however, the influence of Indian astronomy survives especially in the compilation of astronomical tables. This new science was applied to develop new methods of determining the qibla, making use of the concept of latitude and longitude taken from Ptolemy's "Geography" as well as trigonometric formulae developed by Muslim scholars. Most textbooks of astronomy written in the medieval Islamic World contain a chapter on the determination of the qibla, considered one of the many things connecting astronomy with Islamic law ("sharia"). According to David A. King, various medieval  solutions for the determination of the qibla "bear witness to the development of mathematical methods from the 3rd/9th to the 8th/14th centuries and to the level of sophistication in trigonometry and computational techniques attained by these scholars". The first mathematical methods developed in the early 9th century were approximate solutions to the mathematical problem, usually using a flat map or two-dimensional geometry. Since in reality the earth is spherical, the directions found were inexact, but they were sufficient for locations relatively close to Mecca (including as far away as Egypt and Iran) because the errors were less than 2 °. Exact solutions, based on three-dimensional geometry and spherical trigonometry, began to appear in the mid-9th century. Habash al-Hasib wrote an early example, using an orthographic projection. Another group of solutions uses trigonometric formulas, for example Al-Nayrizi's four-step application of Menelaus's theorem. Subsequent scholars, including Ibn Yunus, Abu al-Wafa, Ibn al-Haitham and Al-Biruni, proposed other methods which are confirmed to be accurate from the viewpoint of modern astronomy. Muslim astronomers subsequently used these methods to compile tables showing the qibla from a list of locations, grouped by their latitude and longitude  differences from Mecca. The oldest known example, from Baghdad, contained entries for each degree and arc minute up to 20°. In the 14th century, Shams al-Din al-Khalili, an astronomer who served as a "muwaqqit" (timekeeper) in the Umayyad Mosque of Damascus, compiled a qibla table for 2,880 coordinates with longitude differences of up to 60° from Mecca, and with latitudes ranging from 10° to 50°. King opines that among the medieval qibla tables, al-Khalili's work is "the most impressive from the view of its scope and its accuracy". The accuracy of applying  these methods to actual locations depend on the accuracy of its input parameters—the local latitude and the latitude of Mecca, and the longitude difference. At the time of the development of these methods, the latitude of a location could be determined to several arc minutes' accuracy, but there was no accurate method to determine a location's longitude. Common methods used to estimate the longitude difference included comparing the local timing of a lunar eclipse versus the timing in Mecca, or measuring the distance of caravan routes; the Central Asian scholar Al-Biruni made his estimate by averaging various  approximate methods. Because of longitudinal inaccuracy, medieval qibla calculations (including those using mathematically accurate methods) differ from the modern values. For example, while the Al-Azhar Mosque in Cairo was built using the "qibla of the astronomers", but the mosque's qibla (127°) differs somewhat from the results of modern calculations (135°) because the longitude difference used was off by three degrees. Accurate longitude values in the Islamic world were available only after the application of cartographic surveys in the 18th and 19th centuries. Modern coordinates, along with new technologies such as GPS satellites and electronic instruments, resulted  in the development of practical instruments to calculate the qibla. The qibla found using modern instruments might differ from the direction of mosques, because a mosque might be built before the advent of modern data, and orientation inaccuracies might have been introduced during the building process of modern mosques. When this is known, sometimes the direction of the mosque's "mihrab" is still observed, and sometimes a marker is added (such as lines drawn in the mosque) that can be followed instead of the "mihrab". Instruments. Muslims use various instruments to find the qibla direction when not near a mosque . The qibla compass is a magnetic compass which includes a table or a list of qibla angles from major settlements. Some electronic versions use satellite coordinates to calculate and indicate the qibla automatically. Qibla compasses have existed since around 1300, supplemented by the list of qibla angles often written on the instruments themselves. Hotel rooms with Muslim guests may use a sticker showing the qibla on the ceiling or a drawer. With the advent of computing, various mobile apps and websites use formulae to calculate the qibla for their users. Diversity. Early Islamic world. Because varying methods have been used  to determine the qibla, mosques were built throughout history in different directions, including some that still stand today. Methods based on astronomy and mathematics were not always used, and the same determination method could yield different qiblas due to differences in the accuracy of data and calculations. Egyptian historian Al-Maqrizi (d. 1442) recorded various qibla angles used in Cairo at the time: 90° (due east), 117° (winter sunrise, the "qibla of the sahaba"), 127° (calculated by astronomers, such as Ibn Yunus), 141° (Mosque of Ibn Tulun), 156° (the rising point of Suhayl/Canopus), 180 ° (due south, emulating the qibla of Muhammad in Medina), and 204° (the setting point of Canopus). The modern qibla for Cairo is 135°, which was not known at the time. This diversity also results in the non-uniform layout in Cairo's districts, because the streets are often oriented according to the varying orientation of the mosques. Historical records also indicate the diversity of qiblas in other major cities, including Cordoba (113°, 120°, 135°, 150°, and 180° were recorded in the 12th century) and Samarkand (180°, 225°, 230°, 240 °, and 270° were recorded in the 11th century). According to the doctrine of "jihat al-ka'bah", the diverse directions of qiblas are still valid as long as they are still in the same broad direction. In Mecca itself, many early mosques were constructed that were not directly facing the Kaaba. In 1990, the scholar of geography Michael E. Bonine conducted a survey of the main mosques of all major cities in present-day Morocco—constructed from the Idrisid period (8th–10th centuries) up to the Alaouite period (17th century to present). While modern calculations yield the qiblas of between  91° (almost due east) in Marrakesh and 97° in Tangier, only mosques constructed in the Alaouite period are constructed with qiblas relatively close to this range. The qibla of older mosques vary considerably, with concentrations occurring between 155°–160° (slightly east of south) as well as 120°–130° (almost southeast). In 2008, Bonine also published a survey of the main city mosques of Tunisia, in which he found that most were aligned close to 147°. This is the direction of the Great Mosque of Kairouan, originally built in 670 and last rebuilt by  the Aghlabids in 862, which is often credited as the model used by the other mosques. Among the mosques surveyed, the Great Mosque of Sousse was the only one with a significant difference, facing further south at 163°. The actual direction to Mecca as calculated using the great circle method ranges from 110° to 113° throughout the country. Indonesia. Variations of the qibla also occur in Indonesia, the country with the world's largest Muslim population. The astronomically calculated qibla ranges from 291°—295° (21°—25° north of west) depending on the exact  location in the archipelago. However, the qibla is often known traditionally simply as "the west", resulting in mosques built oriented due west or to the direction of sunset—which varies slightly throughout the year. Different opinions exist among Indonesian Islamic astronomers: Tono Saksono "et al." argues in 2018 that facing the qibla during prayers is more of a "spiritual prerequisite" than a precise physical one, and that an exact direction to the Kaaba itself from thousands of kilometres away requires an extreme precision impossible to achieve when building a mosque or when standing for prayers. On the other hand, Muhammad  Hadi Bashori in 2014 opines that "correcting the qibla is indeed a very urgent thing", and can be guided by simple methods such as observing the shadow. In the history of the region, disputes about the qibla had also occurred in the then-Dutch East Indies in the 1890s. When the Indonesian scholar and future founder of Muhammadiyah, Ahmad Dahlan, returned from his Islamic and astronomy studies in Mecca, he found that mosques in the royal capital of Yogyakarta had inaccurate qiblas, including the Kauman Great Mosque, which faced due west. His efforts in adjusting the qibla were opposed by  the traditional "ulama" of the Yogyakarta Sultanate, and a new mosque built by Dahlan using his calculations was demolished by a mob. Dahlan rebuilt his mosque in the 1900s, and later the Kauman Great Mosque would also be reoriented using the astronomically calculated qibla. North America. Places long settled by Muslim populations tend to have resolved the question of the direction of the qibla over time. Other countries, like the United States and Canada, have had large Muslim communities only in the past several decades, and the determination of the qibla can be a matter of debate. The Islamic Center  of Washington, D.C. was built in 1953 facing slightly north of east and initially puzzled some observers, including Muslims, because Washington, D.C.'s latitude is 17°30′, more northerly than that of Mecca. Even though a line drawn on world maps—such as those using the Mercator projection—would suggest a southeastern direction to Mecca, the astronomical calculation using the great circle method does yield a north-of-east direction (56°33′). Nevertheless, most early mosques in the United States face east or southeast, following the apparent direction on world maps. As the Muslim community grew and the  number of mosques increased, in 1978, an American Muslim scientist, S. Kamal Abdali, wrote a book arguing that the correct qibla from North America was north or northeast as calculated by the great circle method which identifies the shortest path to Mecca. Abdali's conclusion was widely circulated and then accepted by the Muslim community, and mosques were subsequently reoriented as a result. In 1993, two religious scholars, Riad Nachef and Samir Kadi, published a book arguing for a southeastern qibla, writing that the north/northeast qibla was invalid and resulted from a lack of religious knowledge. In reaction, Abdali  published a response to their arguments and criticism in an article entitled "The Correct Qibla" online in 1997. The two opinions resulted in a period of debate about the correct qibla. Eventually most North American Muslims accepted the north/northeast qibla with a minority following the east/southeast qibla. Outer space. The International Space Station (ISS) orbits the earth at high speed—the direction from it to Mecca changes significantly within a few seconds. Before his flight to the ISS, Sheikh Muszaphar Shukor requested, and the Malaysian National Fatwa Council provided, guidelines which have been translated into multiple languages. The  council wrote that the qibla determination should be "based on what is possible" and recommended four options, saying that one should pray toward the first option if possible and, if not, fall back successively on the later ones: In line with the fatwa council, other Muslim scholars argue for the importance of flexibility and adapting the qibla requirement to what an astronaut is capable of fulfilling. Khaleel Muhammad of San Diego State University opined "God does not take a person to task for that which is beyond his/her ability to work with." Kamal Abdali argued that concentration during a  prayer is more important than the exact orientation, and he suggested keeping the qibla direction at the start of a prayer instead of "worrying about possible changes in position". Before Sheikh Muszaphar's mission, at least eight Muslims had flown to space, but none of them publicly discussed issues relating to worship in space.