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The qibla ( ar, قِبْلَة, links=no, lit=direction, translit=qiblah) is the direction towards the Kaaba in the Sacred Mosque in
Mecca Mecca (; officially Makkah al-Mukarramah, commonly shortened to Makkah ()) is a city and administrative center of the Mecca Province of Saudi Arabia, and the holiest city in Islam. It is inland from Jeddah on the Red Sea, in a narrow v ...
, which is used by
Muslims Muslims ( ar, المسلمون, , ) are people who adhere to Islam, a monotheistic religion belonging to the Abrahamic tradition. They consider the Quran, the foundational religious text of Islam, to be the verbatim word of the God of Abrah ...
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 Abraham, ; ar, , , name=, group= (originally Abram) is the common Hebrew patriarch of the Abrahamic religions, including Judaism, Christianity, and Islam. In Judaism, he is the founding father of the special relationship between the Je ...
and
Ishmael Ishmael ''Ismaḗl''; Classical/Qur'anic Arabic: إِسْمَٰعِيْل; Modern Standard Arabic: إِسْمَاعِيْل ''ʾIsmāʿīl''; la, Ismael was the first son of Abraham, the common patriarch of the Abrahamic religions; and is cons ...
, and that its use as the qibla was ordained by Allah in several verses of the
Quran The Quran (, ; Standard Arabic: , Quranic Arabic: , , 'the recitation'), also romanized Qur'an or Koran, is the central religious text of Islam, believed by Muslims to be a revelation from God. It is organized in 114 chapters (pl.: , ...
revealed to
Muhammad Muhammad ( ar, مُحَمَّد;  570 – 8 June 632 CE) was an Arab religious, social, and political leader and the founder of Islam. According to Islamic doctrine, he was a prophet divinely inspired to preach and confirm the mon ...
in the second
Hijri year The Hijri year ( ar, سَنة هِجْريّة) or era ( ''at-taqwīm al-hijrī'') is the era used in the Islamic lunar calendar. It begins its count from the Islamic New Year in which Muhammad and his followers migrated from Mecca to Yathr ...
. Prior to this revelation, Muhammad and his followers in
Medina Medina,, ', "the radiant city"; or , ', (), "the city" officially Al Madinah Al Munawwarah (, , Turkish: Medine-i Münevvere) and also commonly simplified as Madīnah or Madinah (, ), is the Holiest sites in Islam, second-holiest city in Islam, ...
faced
Jerusalem Jerusalem (; he, יְרוּשָׁלַיִם ; ar, القُدس ) (combining the Biblical and common usage Arabic names); grc, Ἱερουσαλήμ/Ἰεροσόλυμα, Hierousalḗm/Hierosóluma; hy, Երուսաղեմ, Erusałēm. i ...
for prayers. Most
mosque A mosque (; from ar, مَسْجِد, masjid, ; literally "place of ritual prostration"), also called masjid, is a place of prayer for Muslims. Mosques are usually covered buildings, but can be any place where prayers ( sujud) are performed, ...
s 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 The Hajj (; ar, حَجّ '; sometimes also spelled Hadj, Hadji or Haj in English) is an annual Islamic pilgrimage to Mecca, Saudi Arabia, the holiest city for Muslims. Hajj is a mandatory religious duty for Muslims that must be carried o ...
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 app A mobile application or app is a computer program or software application designed to run on a mobile device such as a phone, tablet, or watch. Mobile applications often stand in contrast to desktop applications which are designed to run on d ...
lications 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 Islamic astronomy comprises the astronomical developments made in the Islamic world, particularly during the Islamic Golden Age (9th–13th centuries), and mostly written in the Arabic language. These developments mostly took place in the Middl ...
was built on its
Indian Indian or Indians may refer to: Peoples South Asia * Indian people, people of Indian nationality, or people who have an Indian ancestor ** Non-resident Indian, a citizen of India who has temporarily emigrated to another country * South Asia ...
and Greek counterparts, especially the works of
Ptolemy Claudius Ptolemy (; grc-gre, Πτολεμαῖος, ; la, Claudius Ptolemaeus; AD) was a mathematician, astronomer, astrologer, geographer, and music theorist, who wrote about a dozen scientific treatises, three of which were of importanc ...
, 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 Spaceflight (or space flight) is an application of astronautics to fly spacecraft into or through outer space, either with or without humans on board. Most spaceflight is uncrewed and conducted mainly with spacecraft such as satellites in ...
of a devout Muslim,
Sheikh Muszaphar Shukor Sheikh Muszaphar Shukor Al Masrie bin Sheikh Mustapha (born 27 July 1972) is the first Malaysian astronaut. He launched to the International Space Station aboard Soyuz TMA-11 with the Expedition 16 crew on 10 October 2007. Sheikh Muszaphar fl ...
, to the
International Space Station The International Space Station (ISS) is the largest Modular design, modular space station currently in low Earth orbit. It is a multinational collaborative project involving five participating space agencies: NASA (United States), Roscosmos ( ...
(ISS) in 2007 generated a discussion with regard to the qibla direction from
low Earth orbit A low Earth orbit (LEO) is an orbit around Earth with a period of 128 minutes or less (making at least 11.25 orbits per day) and an eccentricity less than 0.25. Most of the artificial objects in outer space are in LEO, with an altitude never m ...
, prompting the Islamic authority of his home country,
Malaysia Malaysia ( ; ) is a country in Southeast Asia. The federal constitutional monarchy consists of thirteen states and three federal territories, separated by the South China Sea into two regions: Peninsular Malaysia and Borneo's East Mal ...
, 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 Mecca (; officially Makkah al-Mukarramah, commonly shortened to Makkah ()) is a city and administrative center of the Mecca Province of Saudi Arabia, and the holiest city in Islam. It is inland from Jeddah on the Red Sea, in a narrow v ...
, 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 The Hajj (; ar, حَجّ '; sometimes also spelled Hadj, Hadji or Haj in English) is an annual Islamic pilgrimage to Mecca, Saudi Arabia, the holiest city for Muslims. Hajj is a mandatory religious duty for Muslims that must be carried o ...
and umrah pilgrimages. The Kaaba has an approximately rectangular ground plan with its four corners pointing close to the four
cardinal direction The four cardinal directions, or cardinal points, are the four main compass directions: north, east, south, and west, commonly denoted by their initials N, E, S, and W respectively. Relative to north, the directions east, south, and west are ...
s. According to the
Quran The Quran (, ; Standard Arabic: , Quranic Arabic: , , 'the recitation'), also romanized Qur'an or Koran, is the central religious text of Islam, believed by Muslims to be a revelation from God. It is organized in 114 chapters (pl.: , ...
, it was built by
Abraham Abraham, ; ar, , , name=, group= (originally Abram) is the common Hebrew patriarch of the Abrahamic religions, including Judaism, Christianity, and Islam. In Judaism, he is the founding father of the special relationship between the Je ...
and
Ishmael Ishmael ''Ismaḗl''; Classical/Qur'anic Arabic: إِسْمَٰعِيْل; Modern Standard Arabic: إِسْمَاعِيْل ''ʾIsmāʿīl''; la, Ismael was the first son of Abraham, the common patriarch of the Abrahamic religions; and is cons ...
, 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 Rajab ( ar, رَجَب) is the seventh month of the Islamic calendar. The lexical definition of the classical Arabic verb ''rajaba'' is "to respect" which could also mean "be awe or be in fear", of which Rajab is a derivative. This month is re ...
or Shaban in the second
Hijri year The Hijri year ( ar, سَنة هِجْريّة) or era ( ''at-taqwīm al-hijrī'') is the era used in the Islamic lunar calendar. It begins its count from the Islamic New Year in which Muhammad and his followers migrated from Mecca to Yathr ...
(624 CE), or about 15 or 16 months after Muhammad's migration to Medina. Prior to these revelations, Muhammad and the Muslims in
Medina Medina,, ', "the radiant city"; or , ', (), "the city" officially Al Madinah Al Munawwarah (, , Turkish: Medine-i Münevvere) and also commonly simplified as Madīnah or Madinah (, ), is the Holiest sites in Islam, second-holiest city in Islam, ...
had prayed towards
Jerusalem Jerusalem (; he, יְרוּשָׁלַיִם ; ar, القُدس ) (combining the Biblical and common usage Arabic names); grc, Ἱερουσαλήμ/Ἰεροσόλυμα, Hierousalḗm/Hierosóluma; hy, Երուսաղեմ, Erusałēm. i ...
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 Masjid al-Qiblatayn ( ar, مسجد القبلتين, lit=Mosque of the Two Qiblas), also spelt Masjid al-Qiblatain, is a mosque in Medina believed by Muslims to be the place where the final Islamic prophet, Muhammad, received the command to ...
("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 ( ar, أبو جعفر محمد بن جرير بن يزيد الطبري), more commonly known as al-Ṭabarī (), was a Muslim historian and scholar from Amol, Tabaristan. Among the most prominent figures of the Islamic Golden Age, 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 Sunni Islam () is the largest branch of Islam, followed by 85–90% of the world's Muslims. Its name comes from the word '' Sunnah'', referring to the tradition of Muhammad. The differences between Sunni and Shia Muslims arose from a dis ...
and the
Shia Shīʿa Islam or Shīʿīsm is the second-largest branch of Islam. It holds that the Islamic prophet Muhammad designated ʿAlī ibn Abī Ṭālib as his successor (''khalīfa'') and the Imam (spiritual and political leader) after him, mos ...
, 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 Niche may refer to: Science *Developmental niche, a concept for understanding the cultural context of child development * Ecological niche, a term describing the relational position of an organism's species *Niche differentiation, in ecology, the ...
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 The Umayyad Caliphate (661–750 CE; , ; ar, ٱلْخِلَافَة ٱلْأُمَوِيَّة, al-Khilāfah al-ʾUmawīyah) was the second of the four major caliphates established after the death of Muhammad. The caliphate was ruled by the ...
and its form was standardised during the
Abbasid period The Abbasid Caliphate ( or ; ar, الْخِلَافَةُ الْعَبَّاسِيَّة, ') was the third caliphate to succeed the Islamic prophet Muhammad. It was founded by a dynasty descended from Muhammad's uncle, Abbas ibn Abdul-Muttalib ...
; 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 The Israelites (; , , ) were a group of Semitic-speaking tribes in the ancient Near East who, during the Iron Age, inhabited a part of Canaan. The earliest recorded evidence of a people by the name of Israel appears in the Merneptah Stele o ...
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.


''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 Ibn ʿArabī ( ar, ابن عربي, ; full name: , ; 1165–1240), nicknamed al-Qushayrī (, ) and Sulṭān al-ʿĀrifīn (, , ' Sultan of the Knowers'), was an Arab Andalusian Muslim scholar, mystic, poet, and philosopher, extremely influen ...
(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 Imam Abū ʿAbdullāh Al-Qurṭubī or Abū ʿAbdullāh Muḥammad ibn Aḥmad ibn Abī Bakr al-Anṣārī al-Qurṭubī ( ar, أبو عبدالله القرطبي) (121429 April 1273) was an Andalusian jurist, Islamic scholar and muhaddith. H ...
(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 Al-Andalus translit. ; an, al-Andalus; ast, al-Ándalus; eu, al-Andalus; ber, ⴰⵏⴷⴰⵍⵓⵙ, label= Berber, translit=Andalus; ca, al-Àndalus; gl, al-Andalus; oc, Al Andalús; pt, al-Ândalus; es, al-Ándalus () was the M ...
(Islamic
Iberian Peninsula The Iberian Peninsula (), ** * Aragonese and Occitan: ''Peninsula Iberica'' ** ** * french: Péninsule Ibérique * mwl, Península Eibérica * eu, Iberiar penintsula also known as Iberia, is a peninsula in southwestern Europe, def ...
), 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 ne'sface" 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 Longitude (, ) is a geographic coordinate that specifies the east– west position of a point on the surface of the Earth, or another celestial body. It is an angular measurement, usually expressed in degrees and denoted by the Greek let ...
are great circles of the Earth, while the
equator The equator is a circle of latitude, about in circumference, that divides Earth into the Northern and Southern hemispheres. It is an imaginary line located at 0 degrees latitude, halfway between the North and South poles. The term can also ...
is the only line of
latitude In geography, latitude is a coordinate that specifies the north– south position of a point on the surface of the Earth or another celestial body. Latitude is given as an angle that ranges from –90° at the south pole to 90° at the north ...
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 An ellipsoid is a surface that may be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An ellipsoid is a quadric surface;  that is, a surface that may be defined as th ...
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 San Francisco (; Spanish for " Saint Francis"), officially the City and County of San Francisco, is the commercial, financial, and cultural center of Northern California. The city proper is the fourth most populous in California and 17t ...
, 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 Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
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 Trigonometry () is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. ...
which deals with those of a two-dimensional triangle). In the accompanying figure (captioned "Calculating the qibla"), a location O, the Kaaba Q, and the north pole N form a triangle on the sphere of the earth. The qibla is indicated by OQ, which is the direction of the great circle passing through both O and Q. The qibla can also be expressed as an angle, \angle NOQ (or \angle q), 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 \phi, the latitude of the Kaaba \phi_Q, and the longitude difference between the locality and the Kaaba \Delta L. This function is derived from the
cotangent rule In trigonometry, the law of cotangentsThe Universal Encyclopaedia of Mathematics, Pan Reference Books, 1976, page 530. English version George Allen and Unwin, 1964. Translated from the German version Meyers Rechenduden, 1960. is a relationship am ...
which applies to any spherical triangle with angles A, B, C and sides a, b, c: \cos a\,\cos C=\cot b\,\sin a - \cot B \,\sin C Applying this formula in the spherical triangle \triangle NOQ (substituting B = \angle q = \angle NOQ) and applying trigonometric identities obtain: \tan q = \frac, or
q = \arctan \left( \frac\right) For example, the qibla from the city of Yogyakarta, Indonesia, can be calculated as follows. The city's coordinates, \phi, are 7.801389°S, 110.364444°E, while the Kaaba's coordinates, \phi_Q, are 21.422478°N, 39.825183°E. The longitude difference \Delta L is (110.364444 minus 39.825183) 70.539261. Substituting the values into the formula obtains: q = \arctan \left( \frac\right). which gives:
q \approx 295^.
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 Ahmad ibn 'Abdallah Habash Hasib Marwazi (766 - d. after 869 in Samarra, Iraq ) was a north-eastern Iranian astronomer, geographer, and mathematician from Merv in Khorasan who for the first time described the trigonometric ratios: sine, cosine, t ...
(active in Damascus and
Baghdad Baghdad (; ar, بَغْدَاد , ) is the capital of Iraq and the second-largest city in the Arab world after Cairo. It is located on the Tigris near the ruins of the ancient city of Babylon and the Sassanid Persian capital of Ctesiphon ...
), Al-Nayrizi (Baghdad, ), Ibn Yunus (10th–11th century),
Ibn al-Haytham Ḥasan Ibn al-Haytham, Latinized as Alhazen (; full name ; ), was a medieval mathematician, astronomer, and physicist of the Islamic Golden Age from present-day Iraq.For the description of his main fields, see e.g. ("He is one of the pr ...
(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, \angle q, 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 Northern may refer to the following: Geography * North, a point in direction * Northern Europe, the northern part or region of Europe * Northern Highland, a region of Wisconsin, United States * Northern Province, Sri Lanka * Northern Range, a r ...
and
Southern Southern may refer to: Businesses * China Southern Airlines, airline based in Guangzhou, China * Southern Airways, defunct US airline * Southern Air, air cargo transportation company based in Norwalk, Connecticut, US * Southern Airways Express, M ...
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 A world map is a map of most or all of the surface of Earth. World maps, because of their scale, must deal with the problem of projection. Maps rendered in two dimensions by necessity distort the display of the three-dimensional surface of ...
. For example, the qibla from
Alaska Alaska ( ; russian: Аляска, Alyaska; ale, Alax̂sxax̂; ; ems, Alas'kaaq; Yup'ik: ''Alaskaq''; tli, Anáaski) is a state located in the Western United States on the northwest extremity of North America. A semi-exclave of the U ...
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 An azimuth (; from ar, اَلسُّمُوت, as-sumūt, the directions) is an angular measurement in a spherical coordinate system. More specifically, it is the horizontal angle from a cardinal direction, most commonly north. Mathematical ...
) 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 James Ireland Craig (1868–1952) was a Scottish mathematician, meteorologist and creator of the Craig retroazimuthal projection. Life He was born on 24 February 1868 in Buckhaven the son of Captain T M Craig, a pioneer in the development o ...
, 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 solstice The winter solstice, also called the hibernal solstice, occurs when either of Earth's poles reaches its maximum tilt away from the Sun. This happens twice yearly, once in each hemisphere (Northern and Southern). For that hemisphere, the winter ...
s. 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 Polaris is a star in the northern circumpolar constellation of Ursa Minor. It is designated α Ursae Minoris ( Latinized to ''Alpha Ursae Minoris'') and is commonly called the North Star or Pole Star. With an apparent magnitude that ...
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 ''Fiqh'' (; ar, فقه ) is Islamic jurisprudence. Muhammad-> Companions-> Followers-> Fiqh. The commands and prohibitions chosen by God were revealed through the agency of the Prophet in both the Quran and the Sunnah (words, deeds, and e ...
'' (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 The Abbasid Caliphate ( or ; ar, الْخِلَافَةُ الْعَبَّاسِيَّة, ') was the third caliphate to succeed the Islamic prophet Muhammad. It was founded by a dynasty descended from Muhammad's uncle, Abbas ibn Abdul-Muttal ...
. Initially, the science was introduced through the works of Indian authors, but after the 9th century the works of Greek astronomers such as
Ptolemy Claudius Ptolemy (; grc-gre, Πτολεμαῖος, ; la, Claudius Ptolemaeus; AD) was a mathematician, astronomer, astrologer, geographer, and music theorist, who wrote about a dozen scientific treatises, three of which were of importanc ...
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 Geography (from Greek: , ''geographia''. Combination of Greek words ‘Geo’ (The Earth) and ‘Graphien’ (to describe), literally "earth description") is a field of science devoted to the study of the lands, features, inhabitants, an ...
'' 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 Ahmad ibn 'Abdallah Habash Hasib Marwazi (766 - d. after 869 in Samarra, Iraq ) was a north-eastern Iranian astronomer, geographer, and mathematician from Merv in Khorasan who for the first time described the trigonometric ratios: sine, cosine, t ...
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 Menelaus's theorem, named for Menelaus of Alexandria, is a proposition about triangles in plane geometry. Suppose we have a triangle ''ABC'', and a transversal line that crosses ''BC'', ''AC'', and ''AB'' at points ''D'', ''E'', and ''F'' respe ...
. 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 Al-Azhar Mosque ( ar, الجامع الأزهر, al-Jāmiʿ al-ʾAzhar, lit=The Resplendent Congregational Mosque, arz, جامع الأزهر, Gāmiʿ el-ʾazhar), known in Egypt simply as al-Azhar, is a mosque in Cairo, Egypt in the historic ...
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 app A mobile application or app is a computer program or software application designed to run on a mobile device such as a phone, tablet, or watch. Mobile applications often stand in contrast to desktop applications which are designed to run on d ...
s 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 Al-Maqrīzī or Maḳrīzī (Arabic: ), whose full name was Taqī al-Dīn Abū al-'Abbās Aḥmad ibn 'Alī ibn 'Abd al-Qādir ibn Muḥammad al-Maqrīzī (Arabic: ) (1364–1442) was a medieval Egyptian Arab historian during the Mamluk era, kn ...
(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 Córdoba (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 The Aghlabids ( ar, الأغالبة) were an Arab dynasty of emirs from the Najdi tribe of Banu Tamim, who ruled Ifriqiya and parts of Southern Italy, Sicily, and possibly Sardinia, nominally on behalf of the Abbasid Caliph, for about a ...
in 862, which is often credited as the model used by the other mosques. Among the mosques surveyed, the
Great Mosque of Sousse The Great Mosque of Sousse ( ar, الجامع الكبير بسوسة) is a historical mosque in the coastal city of Sousse, Tunisia. The construction dates back to 851 during the rule of Aghlabid Dynasty, a vassal of the Abbasid Caliphate, and i ...
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 The Dutch East Indies, also known as the Netherlands East Indies ( nl, Nederlands(ch)-Indië; ), was a Dutch colony consisting of what is now Indonesia. It was formed from the nationalised trading posts of the Dutch East India Company, whic ...
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′ north 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 The International Space Station (ISS) is the largest Modular design, modular space station currently in low Earth orbit. It is a multinational collaborative project involving five participating space agencies: NASA (United States), Roscosmos ( ...
(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 Sheikh Muszaphar Shukor Al Masrie bin Sheikh Mustapha (born 27 July 1972) is the first Malaysian astronaut. He launched to the International Space Station aboard Soyuz TMA-11 with the Expedition 16 crew on 10 October 2007. Sheikh Muszaphar fl ...
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: # the Kaaba itself # the position directly above the Kaaba at the altitude of the astronaut's orbit # the Earth in general # "wherever" 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.


See also

* '' Ad orientem'', a comparable concept in traditional
Christianity Christianity is an Abrahamic monotheistic religion based on the life and teachings of Jesus of Nazareth. It is the world's largest and most widespread religion with roughly 2.38 billion followers representing one-third of the global popula ...
* '' Mizrah'', the equivalent in the
Jewish Faith Judaism ( he, ''Yahăḏūṯ'') is an Abrahamic religions, Abrahamic, monotheism, monotheistic, and ethnic religion comprising the collective religious, cultural, and legal tradition and civilization of the Jewish people. It has its roots ...
* '' Qiblih'', the equivalent in the
Baháʼí Faith The Baháʼí Faith is a religion founded in the 19th century that teaches the essential worth of all religions and the unity of all people. Established by Baháʼu'lláh in the 19th century, it initially developed in Iran and parts of the ...
*
Spatial deixis In linguistics, deixis (, ) is the use of general words and phrases to refer to a specific time, place, or person in context, e.g., the words ''tomorrow'', ''there'', and ''they''. Words are deictic if their semantic meaning is fixed but their d ...


Notes


References


Citations


Bibliography

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External links

* * * {{featured article Salah Mosque architecture Islamic architecture Islamic architectural elements Arabic words and phrases Kaaba Salah terminology Islamic terminology Orientation (geometry)