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再论中国古代的五星盈缩差算法
引用本文:唐泉. 再论中国古代的五星盈缩差算法[J]. 自然科学史研究, 2011, 30(4)
作者姓名:唐泉
作者单位:咸阳师范学院 数学与信息科学学院,陕西咸阳712000;西北大学 中国思想文化研究所,西安710069
基金项目:国家自然科学基金,中国博士后科学基金特别资助项目,中国博士后科学基金面上资助项目
摘    要:五星盈缩差算法是中国古代行星运动理论中的一个关键算法,五星地心真黄经和五星定合、定见、定伏时刻的推算都与这个算法密切相关.由于科学史家通常认为五星盈缩差就是行星中心差,从而在很大程度上影响了他们对中国传统行星理论的客观评价.本文在前人的研究基础上,重新构建了五星盈缩差算法的理论模型,指出五星盈缩差是为修正行星中心差而设计的,但它既不等同于行星中心差,也与太阳中心差无关.通过对《纪元历》盈缩差算法精度的考察,可以较好地解释中国古代行星计算精度.

关 键 词:行星理论  盈缩差  中心差  纪元历

A Further Discussion on the Algorithm of Expansion and Contraction Difference in Ancient Chinese Planetary Theory
TANG Quan. A Further Discussion on the Algorithm of Expansion and Contraction Difference in Ancient Chinese Planetary Theory[J]. Studies In The History of Natural Sciences, 2011, 30(4)
Authors:TANG Quan
Affiliation:TANG Quan(School of Mathematics and Information Science,Xianyang Normal University,Xianyang 712000,China,Institute of Chinese Ideology and Culture,Northwest University,Xi'an 710069,China)
Abstract:The algorithm of expansion and contraction difference of Five Stars is a key algorithm in ancient Chinese planetary theory.The algorithms of true conjunction,appearance and invisibility are associated with expansion-contraction-difference-algorithm of Five Stars.Some scholars think poorly of Chinese planetary theory because they believe that the expansion and contraction difference equal to equation of the center.Based on previous study and basic idea of ancient Chinese planetary theory,this paper construct...
Keywords:planetary theory  expansion and contraction difference  equation of center  Jiyuan Li  
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