行星理论是中国传统历法中的重要内容,历法家从汉魏时期开始就已经将五星预报的精度视为检验历法优劣的标准之一。北宋时期,历法家对五星测算误差的要求是差天二度以内,而南宋时期的标准已提高到差天一度。通过全面考察《纪元历》行用期间外行星计算精度,指出《纪元历》木星和土星计算误差达到了历法家制定的精度要求,而火星的计算误差则没有完全达到历法家制定的精度要求。
Planetary theory is one important part of traditional Chinese mathematical astronomy. Calendar-makers in Han dynasty regarded the precision of positions of Five Planets as one standard for verifying whether one calendar is excellent or not. In the Northern Song dynasty, the deviation between the daily positions of the five planets are computed by Jiyuan L/ and modern astronomical method that calendar-makers permitted was only 2 degree, but in the Southern Song dynasty, this deviation was only 1 degree. After analyzing the precision of the daily positions of the superior planets in Jiyuan Li, we point out that the error of the daily positions of the Jupiter and Saturn in Jiyuan Li was accorded with the standard that the calendar-makers of Song dynasty expected but the error of the daily positions of the Mars didn't.