《宣明历》的日食推步方法  

The Solar Ecliptical Algorithm of Xuanming Calendric System

作　　者：王鹏云[1,2] 滕艳辉[1] WANG Pengyun;TENG Yanhui(School of Mathematics and Information Science,Xianyang Normal University,Xianyang 712000,Shaanxi,China;Institute for Advanced Studies in the History of Science,Northwest University,Xi＇ an 710127,Shaanxi,China)

机构地区：[1]咸阳师范学院数学与信息科学学院,陕西咸阳712000 [2]西北大学科学史高等研究院,陕西西安710127

出　　处：《咸阳师范学院学报》2018年第4期7-13,共7页Journal of Xianyang Normal University

基　　金：国家社会科学基金重大项目(15ZDB029);国家自然科学基金项目(11603017);陕西省教育厅科研基金项目(15JK1797);咸阳师范学院科研基金项目(XSYK17014)

摘　　要：分析《宣明历》的日食推步算法,阐释日食计算中常数的天文意义;利用文献分析与数学建模方法对《宣明历》的食甚时刻、食分大小的推步思路进行全面梳理;将《宣明历》中的定朔时刻算法、日食食甚时刻算法以及食分算法等用完整的数学公式表达出来,给出《宣明历》完整的日食推算过程。This paper analyzed the solar ecliptical algorithm of Xuanming Calendric System, explained the astronomical significance of the constants in solar eclipse calculation. By using the method of literature analysis and mathematical modeling, a comprehensive analysis was conducted of the time of totality and the size of the eclipse magnitude in Xuanming Calendric System. It described the algorithms on the real syzygy time, the time of middle eclipse and on the eclipse magnitude with several sets of mathematical formulae. It also offered the whole process of the solar eclipse calculation of Xuanming Calendric System.

关 键 词：《宣明历》 日食 算法 时差 

分 类 号：N09[自然科学总论—科学技术哲学] P1-092[天文地球—天文学]