Zij-i Sultani
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''Zīj-i Sulṭānī'' ( fa, زیجِ سلطانی) is a
Zij A zij ( fa, زيج, zīj) is an Islamic astronomical book that tabulates parameters used for astronomical calculations of the positions of the Sun, Moon, stars, and planets. Etymology The name ''zij'' is derived from the Middle Persian term ' ...
astronomical table and star catalogue that was published by
Ulugh Beg Mīrzā Muhammad Tāraghay bin Shāhrukh ( chg, میرزا محمد طارق بن شاہ رخ, fa, میرزا محمد تراغای بن شاہ رخ), better known as Ulugh Beg () (22 March 1394 – 27 October 1449), was a Timurid sultan, as ...
in 1438–1439. It was the joint product of the work of a group of Muslim astronomers working under the patronage of
Ulugh Beg Mīrzā Muhammad Tāraghay bin Shāhrukh ( chg, میرزا محمد طارق بن شاہ رخ, fa, میرزا محمد تراغای بن شاہ رخ), better known as Ulugh Beg () (22 March 1394 – 27 October 1449), was a Timurid sultan, as ...
at Samarkand's
Ulugh Beg Observatory The Ulugh Beg Observatory is an observatory in Samarkand, Uzbekistan. Built in the 1420s by the Timurid astronomer Ulugh Beg. Islamic astronomers who worked at the observatory include Al-Kashi, Ali Qushji, and Ulugh Beg himself. The observat ...
. These astronomers included
Jamshīd al-Kāshī Ghiyāth al-Dīn Jamshīd Masʿūd al-Kāshī (or al-Kāshānī) ( fa, غیاث الدین جمشید کاشانی ''Ghiyās-ud-dīn Jamshīd Kāshānī'') (c. 1380 Kashan, Iran – 22 June 1429 Samarkand, Transoxania) was a Persian astronomer ...
and
Ali Qushji Ala al-Dīn Ali ibn Muhammed (1403 – 16 December 1474), known as Ali Qushji (Ottoman Turkish : علی قوشچی, ''kuşçu'' – falconer in Turkish; Latin: ''Ali Kushgii'') was a Timurid theologian, jurist, astronomer, mathematician a ...
, among others. The ''Zij-i-Sultani'' was not surpassed in accuracy until the work of Taqi al-Din and
Tycho Brahe Tycho Brahe ( ; born Tyge Ottesen Brahe; generally called Tycho (14 December 154624 October 1601) was a Danish astronomer, known for his comprehensive astronomical observations, generally considered to be the most accurate of his time. He was ...
in the 16th century. The serious errors which Ulugh Beg found in previous
Zij A zij ( fa, زيج, zīj) is an Islamic astronomical book that tabulates parameters used for astronomical calculations of the positions of the Sun, Moon, stars, and planets. Etymology The name ''zij'' is derived from the Middle Persian term ' ...
star catalogues (many of the earlier ones were simply updates on Ptolemy's work, adding the effect of
precession Precession is a change in the orientation of the rotational axis of a rotating body. In an appropriate reference frame it can be defined as a change in the first Euler angle, whereas the third Euler angle defines the rotation itself. In oth ...
to the longitudes) induced him to redetermine the positions of 992 fixed stars, to which he added 27 stars from al-Sufi's ''Book of Fixed Stars'' (964), which were too far south for observation from Samarkand. This catalogue, one of the most original of the Middle Ages, was edited by
Thomas Hyde Thomas Hyde (29 June 163618 February 1703) was an English linguist, historian, librarian, classicist, and orientalist. His chief work was the 1700 'On the Ancient Religion of the Persians'' the first attempt to use Arab and Persian sources ...
at Oxford in 1665 under the title ''Jadāvil-i Mavāzi' S̱avābit, sive, Tabulae Long. ac Lat. Stellarum Fixarum ex Observatione Ulugh Beighi'', by
Gregory Sharpe Gregory may refer to: People and fictional characters * Gregory (given name), including a list of people and fictional characters with the given name * Gregory (surname), a surname Places Australia * Gregory, Queensland, a town in the Shire o ...
in 1767, and in 1843 by
Francis Baily Francis Baily (28 April 177430 August 1844) was an English astronomer. He is most famous for his observations of "Baily's beads" during a total eclipse of the Sun. Baily was also a major figure in the early history of the Royal Astronomical S ...
in Vol. XIII of the ''Memoirs of the Royal Astronomical Society''. In 1437, Ulugh Beg determined the length of the sidereal year as 365.2570370...d = 365d 6h 10m 8s (an error of +58s). In his measurements over many years he used a 50 m high gnomon. This value was improved by 28s, 88 years later in 1525 by
Nicolaus Copernicus Nicolaus Copernicus (; pl, Mikołaj Kopernik; gml, Niklas Koppernigk, german: Nikolaus Kopernikus; 19 February 1473 – 24 May 1543) was a Renaissance polymath, active as a mathematician, astronomer, and Catholic canon, who formulated ...
(1473–1543), who appealed to the estimation of
Thabit ibn Qurra Thabit ( ar, ) is an Arabic name for males that means "the imperturbable one". It is sometimes spelled Thabet. People with the patronymic * Ibn Thabit, Libyan hip-hop musician * Asim ibn Thabit, companion of Muhammad * Hassan ibn Sabit (died 674 ...
(826–901), which was accurate to +2s. However, Ulugh Beg later measured another more precise value as 365d 6h 9m 35s, which has an error of +25s, making it more accurate than Copernicus' estimate which had an error of +30s. Ulugh Beg also determined the Earth's
axial tilt In astronomy, axial tilt, also known as obliquity, is the angle between an object's rotational axis and its orbital axis, which is the line perpendicular to its orbital plane; equivalently, it is the angle between its equatorial plane and orb ...
as 23;30,17 degrees in
sexagesimal Sexagesimal, also known as base 60 or sexagenary, is a numeral system with sixty as its base. It originated with the ancient Sumerians in the 3rd millennium BC, was passed down to the ancient Babylonians, and is still used—in a modified form ...
notation, which in decimal notation converts to 23.5047 degrees.L.P.E.A. Sédillot, ''Prolégomènes des tables astronomiques d'OlougBeg: Traduction et commentaire'' (Paris: Firmin Didot Frères, 1853), pp.&nbs
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See also

*
Zij A zij ( fa, زيج, zīj) is an Islamic astronomical book that tabulates parameters used for astronomical calculations of the positions of the Sun, Moon, stars, and planets. Etymology The name ''zij'' is derived from the Middle Persian term ' ...
*
Ulugh Beg Observatory The Ulugh Beg Observatory is an observatory in Samarkand, Uzbekistan. Built in the 1420s by the Timurid astronomer Ulugh Beg. Islamic astronomers who worked at the observatory include Al-Kashi, Ali Qushji, and Ulugh Beg himself. The observat ...


Notes


References

* E.S. Kennedy, ''A Survey of Islamic Astronomical Tables'', Transactions of the American Philosophical Society, (1956) 46(2), pp. 3–4, 44-5. * L.P.E.A. Sédillot. Tables astronomiques d’Oloug Beg, commentées et publiées avec le texte en regard, Tome I, 1 fascicule, Paris; 1839. * L.P.E.A. Sédillot. Prolégomènes des Tables astronomiques d’Oloug Beg, publiées avec Notes et Variantes, et précédées d’une Introduction. Paris: F. Didot, 1847. * L.P.E.A. Sédillot. Prolégomènes des Tables astronomiques d’Oloug Beg, traduction et commentaire. Paris: 1853. {{Authority control 1437 books Astronomical tables Astronomical works of the medieval Islamic world Astrological works of the medieval Islamic world