宋代历法中的置闰算法  

Algorithm of intercalary months arrangement in the calendars of the Song Dynasty

作　　者：滕艳辉[1] 唐泉[2,3] 

机构地区：[1]西北大学数学与科学史研究中心,西安710127 [2]咸阳师范学院数学与信息科学学院,咸阳712000 [3]西北大学中国思想文化研究所,西安710069

出　　处：《时间频率学报》2012年第2期120-128,共9页Journal of Time and Frequency

基　　金：国家自然科学基金资助项目(11073016);教育部人文社科青年资助项目(10YJCZH208);中国博士后科学基金特别资助项目(200801435);西北大学研究生自主创新资助项目(10YZZ04)

摘　　要：讨论了由平气定朔注历的宋代历法中,闰月的安排。根据太阳和月亮运动不均匀性改正,建立了朔望月长度的数值模型。通过比较分析2中气间距和朔望月长度,指出由于中气与定朔同日,在4种情况下使得闰月被提前1个月,在极少数的情况下会使闰月提前2个月。这为中国古代历谱的复原与考证提供了直接依据。The arrangement of intercalary months in the calendars of the Song Dynasty using the method of the level Qi and the real new moon is discussed.According to the corrections of the non-uniform motions of the sun and moon,the numerical model of the lunation length is established.Through comparing and analyzing the lunation length and the interval between one Qi and the following Qi,it is pointed out that since the Qi and the new moon were on the same day,the intercalary month was arranged a month earlier in 4 cases and it was rare to arrange the intercalary month two months ahead of schedule.The direct basis for the restoration and textual research on the ancient Chinese almanac is provided.

关 键 词：置闰法 朔望月 进朔 历谱 

分 类 号：N09[自然科学总论—科学技术哲学] P1-092[天文地球—天文学]