公元8世纪至14世纪，伊斯兰天文学继承了源自古希腊天文学体系的两大传统：一是数理天文学家所建立的数学天文学传统，二是自然哲学家所建立的宇宙学传统。其数理天文学传统则被系统地引入了我国元明期间《回回历法》的编制中。.依据关于中国古代数理天文学转轨与中国天文学近代化历程的最新研究成果，整体解析明代贝琳（1429—1490）所编纂的《七政推步》（1477年，七卷），重新界定其所应用的天文学常数；揭示太阳加减立成，太阴和土、木、火、金、水五星第一加减比敷立成和第二加减远近立成所依据的运动模型和计算公式；完整复原《七政推步》有关日食、月食、月五星凌犯的推步方法；通过展开回回历法数理研究，追溯西学理论源流，为勾勒中国近代数理天文学发展图景奠定坚实的基础。.发掘中世纪沿丝绸之路各国的数理天文学遗产，深入开展天文学传播交流的研究，对于探讨我国天文学在近代科学发展过程中的客观作用与历史地位具有重要意义。

From the eighth to the fourteenth centuries, most of the advances in astronomy were achieved by scholars in the Middle East, North Africa, and Moorish Spain. This work crossed religious and ethnic boundaries, with contributions from, among others, Arabs, Iranians, and Turks, and from Muslims, Jews, and Christians. In particular, Islamic astronomers began to appreciate the inadequacies of the parameters used in the Almagest. This led to numerous attempts to improve on Ptolemy’s values so as to produce more accurate tables, and also a much greater interest in the theoretical aspects of Ptolemy’s geometrical schemes..From the thirteenth to the seventeenth centuries, Islamic astronomy, including astronomical tables, instruments, and astrological materials had been gradually introduced into China. In the Yuan Dynasty (1206-1368) the Arabs (they must, in fact, have been largely Persian and Central Asians) played a role in Chinese science and technology quiet similar to the Indians in the Tang Dynasty (618-907). Then the Persian astronomer, Jamāl al-Din ibn Muhammad al-Najjari (Zhamaluding), devised for Khubilai Khan in the year of 1267 a new calendar, the Wannian Li (the Calendar for the forever), which was afterwards lost, and in any case failed in competition with the Shoushi Li of Gou Shoujing (1231-1316), of which the Ming Calendar Datong Li, started in 1364, was but a modification. In the beginning of the Ming Dynasty (1368-1644), a Muslim (Huihui) Astronomical Bureau was set up in parallel with the ordinary Astronomical Bureau, to which, however, after a couple of years it became subordinate. In 1382, Tianwenshu (Astrology, Official Translation by the Imperial Edict of the Ming) consists of abundant data on positional astronomy, together with much astrological materials which were highly appreciated by the first Emperor of the Ming Dynasty. A great deal of computation must have need, however, for the solar and lunar eclipses, planetary conjunctions to the Muslim methods, supplemented and re-issued as the Qizheng Tuibu (Calculations of the Motions of the Seven Luminaries) by Bei Lin (1429-1490) in 1477, which had been used as reference calendar to Datong Li in the Ming Dynasty for more than 270 years and still played a critical role in the quarrel between Islamic and Jesuit astronomies in the beginning period of the Qing Dynasty (1644-1911)..Having based upon the historical research achievements by the scholars from the Ming Dynasty to now, the project aims to reveal the astronomical parameters, models and the formula for the 39 tables in Qizheng Tuibu, resumes the calculating program for the solar and lunar eclipses, and retrospect to the western astronomical theories which are directly related to Qizheng Tuibu. The mathematical research results of Qizheng Tuibu will be benefit to the further understanding and reviews on Qizheng Suan, Waibian (Outer Book on the Calculation of the Seven Luminaries), compiled by Korean astronomers in the first half of the fifteenth century and Huihui Lifa, volumes 7, 8, 9 of Calendars in Ming Shi (History of the Ming Dynasty), and establish one of the foundations for the development of the interweaving framework among Indian, Islamic, Jesuit and Chinese astronomies.