《乾象历》月离表数理分析

The Statistical Analysis on the Tables of the Moon's Apparent Motion of Qianxiang Calendar

天文学史上第一个月离表为东汉末年天文学家、数学家刘洪(130-210)所构建,其开创了我国古代历法定量研究月亮不均匀性运动的先河.在研读原始资料和研究文献基础上,初步考证了《乾象历》月离表数据之间的内在联系性,描绘出相关变量的函数图像,构建了月行分和盈缩积之数学模型.

The Tables of the Moon＇s Apparent Motion was firstly constructed by the astronomer LIU Hong（130-210） in the late Eastern Han Dynasty, which opens up the quantitative research on the Moon＇s non-uniform motion for Chinese ancient calendar. Based on the original data and literature, the inherent interconnectedness of all data of the Tables of the Moon＇s Apparent Motion of Qianxiang Calendar is preliminary verified. Also the corresponding variable function images are drawn and the mathematical models of Yuexingfen and Yingsuoji are given.