《知微历》交食算法分析  

Analysis on the Calculation Method of Solar and Lunar Eclipses in Zhiweili

作　　者：滕艳辉[1] TENG Yanhui(School of Mathematical and Statistical Sciences,Xianyang Normal University,Xianyang 712000,Shaanxi,China)

机构地区：[1]咸阳师范学院数学与统计学院,陕西咸阳712000

出　　处：《咸阳师范学院学报》2024年第4期66-72,共7页Journal of Xianyang Normal University

基　　金：国家社科基金冷门绝学研究项目(21VJXG027)。

摘　　要：分析《知微历》日月交食计算的整体思路;利用文献分析的方法对《知微历》日食和月食的食甚时刻算法、食差算法、食限算法和食分算法的推步思路进行全面梳理,给出《知微历》完整的交食推算过程;对比宋代《崇天历》和《纪元历》的交食算法,指出《知微历》应该是综合上述两部历法并增损而成。This paper analyzes the overall thinking of solar and lunar eclipse in Zhiweili.Using the method of literature analysis,the algorithm of middle of an eclipse,eclipse limit and magnitude of solar and lunar eclipse in the Zhiweili have been completely interpreted.This paper gives a complete process of the eclipse calculation of Zhiweili.In comparison with the eclipse algorithms of Chongti anli and Ji-yuanli in the Song Dynasty,it is pointed out that Zhiweili should have been developed by integrating the two calendars and adding or subtracting them.

关 键 词：《知微历》 日食 月食 食甚:食分 

分 类 号：N09[自然科学总论—科学技术哲学] P194.3[天文地球—天文学]