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中国古代的合朔推步算法分析
引用本文:滕艳辉,史晓丰.中国古代的合朔推步算法分析[J].咸阳师范专科学校学报,2013(6):61-68.
作者姓名:滕艳辉  史晓丰
作者单位:[1]咸阳师范学院数学与信息科学学院,陕西咸阳712000 [2]空军西安飞行学院理论训练系,陕西西安712306
基金项目:国家自然科学基金项目(11073016);咸阳师范学院科研基金项目(12XSYK009).
摘    要:朔是中国古代天文学中一个十分重要的概念.给出定朔算法的现代模型和重建模型,并依此分析中国古代历法中的合朔推步算法,梳理了从《乾象历》到《大统历》中国传统历法中合朔算法的变化和演进过程,指出中国古代大多数历法的合朔算法都是不完整的,仅有《大业历》、《皇极历》和《大统历》等少数几部历法的算法与重建模型一致.

关 键 词:  月离表  损益率  《乾象历》  《大业历》

An Analysis of the New Moon Algorithm in Ancient Chinese Calendars
TENG Yan-huiI,SHI Xiao-feng.An Analysis of the New Moon Algorithm in Ancient Chinese Calendars[J].Journal of Xianyang Teachers College,2013(6):61-68.
Authors:TENG Yan-huiI  SHI Xiao-feng
Institution:2 (1. College of Mathematics and Information Science, Xianyang Normal University, Xianyang 712000, Shaanxi; 2. Theory Training Department,People's Liberation Army Air Force Xi'an Flight Academy, Xi'an 712306, Shaanxi.China)
Abstract:The new moon is a very important concept in ancient Chinese astronomy. The mod- em model and reconstruction model of the real new moon algorithm are given in this paper, and then the new moon algorithms in ancient Chinese calendars are analysed. The change and the evolution of the new moon algorithm in Chinese traditional calendars from Qianxiang Calendar to Datong Calen- dar are combed. It is pointed that the new moon algorithm in most ancient Chinese calendars are incom- plete except Daye Calendar, Huangji Calendar and Datong Calendar whose algorithms are approxima- tion to the reconstruction model.
Keywords:new moon  the data table of moon  profit and loss rates  Qianxiang Calendar  DayeCalendar
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