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中国古代日食食限与食分算法
引用本文:曲安京,唐泉.中国古代日食食限与食分算法[J].中国科技史杂志,2008,29(4).
作者姓名:曲安京  唐泉
作者单位:1. 西北大学数学系,西安,710069
2. 咸阳师范学院数学系,陕西咸阳,712000
摘    要:中国古代天文学家设计的食分算法与食限的大小及定义方式密切相关,而后者又受到月亮视差的影响,因此,传统历法中日食食分的计算是一个比较复杂的问题。中国古代天文学家将日食食限定义为日食视食甚时刻视月亮到视黄白交点的距离,使得他们所设计的日食食分算法具有明晰的天文意义。在论述中国历法家对日食食限的定义方法以及基于这种定义而给出的简明的日食食分算法的基础上,将中国古代日食食限与食分算法的历史沿革划分为三大阶段。

关 键 词:中国  历法  日食  食分  食限  视差

Algorithms of the Limit and Magnitude of Solar Eclipse in Ancient China
QU Anjing,TANG Quan.Algorithms of the Limit and Magnitude of Solar Eclipse in Ancient China[J].The Chinese Journal for the History of Science and Technology,2008,29(4).
Authors:QU Anjing  TANG Quan
Abstract:The magnitude of solar eclipse is an important item in mathematical astronomy in ancient China.The algorithm of solar-eclipse-magnitude designed by Chinese astronomers is not only related to the limit of solar eclipse but also to the lunar astronomers.According to Chinese astronomers after the 8th century,the solar eclipse limit had been taken as the distance between the apparent moon and the apparent node of solar and lunar orbit at the moment of the middle eclipse.Based on this definition,a beautiful model of the algorithm of solar-eclipse-magnitude was designed by Chinese calendar-makers.This paper shows that the astronomical meaning of the said model is clear and correct.
Keywords:China  calendar  solar eclipse  eclipse magnitude  eclipse limit  parallax
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