中国古代历法中,定朔是一个极其重要的概念,定朔的推算精度直接影响推算日月食的精度。从中国古代定朔算法模型入手,清晰梳理了《纪元历》定朔推步过程,并严格按照其推朔过程编写计算机程序,计算出《纪元历》等8部历法颁行期间的每次定朔时刻。将这些结果与理论值相比较,得出各部历法推算定朔的精度,就此对各历的优劣给出客观的评价,并指出精度的降低是宋代频繁改历的一个重要原因。
The real new moon is an extremely important concept in Chinese ancient calendars. Its calculation would have direct influence on the accuracy of the solar and lunar eclipses. With the algorithm theoretical model of the real new moon in the ancient time of China, the computation process of the real new moon is reconstructed and a computer program of this computation is compiled. The paper calculates real new moon moments using the methods of the 8 calendars including Jiyuan Li. Comparing these calculations with modem values, we estimated the accuracy of these calendars. Based on this, it concludes that low accuracy in real moon calculations was the reason that the calendar was frequently changed in the Song dynasty.