Mirzo Ulugh Beg: the Samarkand observatory and the star table
Gathering the positions of nearly a thousand stars into a single table was a great achievement not only of astronomy but also of collecting, checking and preserving data. Ulugh Beg's observatory, the "Zij-i Sultani" and the lessons it left for today's accountant.
Mirzo Ulugh Beg has remained in history as both a ruler and a scholar. But his main legacy is not a throne but a table: a catalogue in which the positions of the stars were carefully measured and recorded in an orderly way.
Key points
- Who was he? According to Britannica, Ulugh Beg was born in 1394 and was a grandson of Amir Timur. His father Shahrukh entrusted Samarkand to him, and Ulugh Beg turned the city into a centre of science and culture (MacTutor).
- The madrasa and the team of scholars. According to scholarly biographical sources (Dictionary of Scientific Biography), he built a madrasa in Samarkand in 1417–1420. A team of astronomers gathered around it; one of them, the mathematician Ghiyath al-Din Jamshid al-Kashi, worked on astronomical tables.
- The observatory. The observatory was built in the 1420s; Britannica writes that construction began in 1428, while some sources give 1424. Its main instrument was a huge meridian arc, the "Fakhri sextant". According to the scholarly biographies on the MacTutor website, its radius was about 40 metres (some sources give a smaller value).
- The "Zij-i Sultani". The result of the observatory's observations was the "Zij-i Sultani" astronomical tables; they are also known as the "Zij-i Gurgani" and, in Uzbek sources, as the "Zij-i jadidi Gurgani". Many sources, including the Stanford University project, say that it gives the positions of 1018 stars; some studies put this number at 992 or 994, the difference depending on how the stars are counted.
- Accuracy put to the test. In a study published in 2012 in the journal Astronomy & Astrophysics, the catalogues of Ptolemy (2nd century) and Ulugh Beg were compared with modern Hipparcos data: the share of stars whose positions were off by more than 150 arcminutes came out at about 2% for Ptolemy and about 0.1% for Ulugh Beg.
- A tragic end. Britannica writes that Ulugh Beg was killed in 1449 at the instigation of his son Abdal-Latif; the observatory was later destroyed. In 1908 the archaeologist V. L. Vyatkin found the underground part of the Fakhri sextant (MacTutor).
- The lesson. The building was lost, the table remained. If data is collected correctly, recorded in an orderly way and copies are kept, it outlives even its author.
Example: a star table and a product master list
In Ulugh Beg's table every star has the same columns: name, coordinates, brightness. Because every row has the same structure, it is easy to find the star you need even in a table of a thousand rows.
A supermarket's product master list works on the same principle (prepared by the author, hypothetical):
| Code | Name | Unit of measure | Price, soum |
|---|---|---|---|
| 0012 | Rice, laser | kg | 18 000 |
| 0013 | Rice, devzira | kg | 32 000 |
| 0014 | Chickpeas | kg | 21 000 |
If one row says "kg" and another "sack", or names are written differently, the month-end report is spoiled. Because Ulugh Beg's team put hundreds of observations into a single template, their table remained usable for centuries.
See also
- Abu Rayhan al-Biruni: measurement, calculation and scientific accuracy
- Central Asian scholars and the science of calculation: an overview
- Where does the word "algorithm" come from, and who gave rise to it?
- From clay tablets to the Domesday Book: why were people counted in ancient times?
- Index
- Statistics section
Sources
- Encyclopaedia Britannica: Ulugh Beg
- MacTutor History of Mathematics: Ulugh Beg, Dictionary of Scientific Biography article
- MacTutor History of Mathematics: Ulugh Beg, Biographical Encyclopedia of Astronomers article
- MacTutor History of Mathematics: al-Kashi, Dictionary of Scientific Biography article
- Stanford University: the "Zij-i Sultani" project
- Verbunt F., van Gent R. H. "The star catalogues of Ptolemaios and Ulugh Beg", Astronomy & Astrophysics, 2012
- Example · prepared by the author, hypothetical figures