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Mathematical Methods in the Tables of Planetary Motion in Kūshyār ibn Labbān'sJāmicZı̄j

✍ Scribed by Glen Van Brummelen

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
600 KB
Volume
25
Category
Article
ISSN
0315-0860

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✦ Synopsis

Ku ¯shya ¯r ibn Labba ¯n, an Iranian scientist who flourished ca. A.D. 1000, composed an astronomical handbook entitled the Ja ¯mi c Zı ¯j. It has been considered to be derivative of al-Batta ¯nı ¯'s Zı ¯j al-S . a ¯bı ¯(ca. A.D. 900), and through it, back to Ptolemy's Almagest (ca. A.D. 150). We analyze the tables of planetary motion and consider the possible dependences. We explain several unusual features, particularly the double-argument planetary equation of anomaly tables, which are tabulated using an innovative interpolation scheme. Complete directions for the use of the tables are given, as well as definitions of the functions tabulated.

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## B. L. VAN DER WAERDEN'S thesis, that the motion of Mars in the Stobart Tables has been computed by linear methods based on the assumption of a piecewise constant velocity, is discussed in this paper, and some further evidence presented.