《五大历数书汇编》中的月亮中心差算法——兼与6世纪之前中国月亮中心差算法比较  

Algorithm of lunar equation of center in the Paňcasiddhāntikā: Comparison with Chinese algorithm of lunar equation of center before the Sixth Century

作　　者：唐泉[1] 袁敏[1] TANG Quan;YUAN Min(Institute for Advanced Study in History of Science, Northwest University, Xi′an 710127, China)

机构地区：[1]西北大学科学史高等研究院

出　　处：《西北大学学报（自然科学版）》2019年第3期473-480,共8页Journal of Northwest University（Natural Science Edition）

基　　金：教育部人文社会科学研究西部和边疆地区项目(14XJA770001)

摘　　要：成书于公元6世纪的《五大历数书汇编》是印度早期一部非常重要的数理天文学著作,几乎汇集了公元6世纪以前印度本土天文学以及传入印度的域外天文学的主要内容。文中详细考察了收录在《五大历数书汇编》中的《太阳历数书》、《宝莉莎历数书》和《罗马伽历数书》中的月亮中心差算法,并与公元6世纪之前的《乾象历》、《景初历》和《元嘉历》等3部中国历法中的月亮中心差算法进行比较,揭示了公元6世纪之前印度和中国天文学家处理月亮不均匀运动的方法的异同。Paňcasiddhāntikā,which was finished in the Sixth Century,is an important ancient Indian work on mathematical astronomy. This work collected the main content of native astronomy in India and the astronomy introduced into India from other civilizations. In this paper,we discuss the calculation of lunar equation of center in the Saura Siddhānta,Paulis’ a Siddhānta and Romaka Siddhānta of Paňcasiddhāntikā and compare them with the calculation of lunar equation of center in the Supernal Emblem System,the Luminous Inception System and the Epochal Excellence System. Based on the discussion and comparison,we reveal the similarities and differences between Indian and Chinese algorithms of lunar equation of center before the Sixth Century.

关 键 词：《五大历数书汇编》 《乾象历》 《景初历》 《元嘉历》 月亮中心差 

分 类 号：N09[自然科学总论—科学技术哲学]