《纪元历》定朔算法模型及分析

The algorithm model of the real new Moon in Jiyuan Li and its analysis

目的用数学公式将《纪元历》定朔推步过程完整地表达出来。方法数学建模与算法分析。结果《纪元历》是宋代具有代表性的历法,其推朔模型及精度可以代表宋代历法的整体水平;从中国古代定朔算法模型入手,将《纪元历》的定朔算法公式化,并给出在计算机上实现定朔算法的基本思路。结论根据《纪元历》的定朔算法编写的计算机程序,为进一步的考证工作奠定了基础。

Aim To study the computation of the real new Moon of Jiyuan Li and to express it with mathematical formula completely.Methods Mathematical modeling and analysis of algorithms.Results Jiyuan Li is one of typical calendar in the Song dynasty.Its method of computation and accuracy of the real new Moon can represent the general level of calendar in the Song dynasty.With the algorithm theoretical model of the real new Moon in the ancient time of China,the model of the real new Moon of Jiyuan Li is formularized and the basic mentality on how to compile computer program of the algorithm is provided.Conclusion The real new Moon algorithm and the theoretical model is very close.The computer program according to it has laid the foundation for the further research work.