Zij-i Ilkhani

Zij-i Ilkhani

Zīj-i Īlkhānī (Persian: زیجِ ایلخانی‎) or Ilkhanic Tables (literal translation: "The Ilkhan Stars", after ilkhan Hulagu, who was the patron of the author at that time) is a Zij book with astronomical tables of planetary movements. It was compiled by the Persian astronomer Nasir al-Din al-Tusi in collaboration with his research team of astronomers at the Maragha observatory. It was written in Persian and later translated into Arabic.

The book contains tables for calculating the positions of the planets and the names of the stars. It included data derived from the observations made over the course of 12 years in the Maragha observatory, completed in 1272. The planetary positions of the Zij-i Ilkhani, derived from the Zijs of Ibn Al-`Alam and Ibn Yunis (ct. 10 AD), were so at fault that later astronomers, such as Shams al-Din Muhammad al-Wabkanawi (1254-1320 AD) and Rukn al-DIn al-Amuli, criticized it severely.

The Zīj-i Īlkhānī set the precession of the equinoxes at 51 degrees per annum, which is very close to the modern value of 50.2 degrees. The book also describes a method of interpolation between the observed positions, which in modern terms may be described as a second-order interpolation scheme. Of course, various kinds of interpolation had been known since Ptolemy and more likely before him in antiquity.