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宋元时期内行星计算精度——以《纪元历》和《授时历》为例
On the precision of inferior planetary computations in the Song and Yuan Dynasties:the case of Jiyuan Li and Shoushi Li
【摘要】 目的研究宋元时期内行星视位置计算精度。方法利用计算机编程计算《纪元历》和《授时历》内行星视位置,并与理论结果进行比较。结果《纪元历》金星和水星计算误差符合"差天二度"这个标准的天数分别占到总数据量的96.24%和33.27%,《授时历》金星和水星计算误差符合"差天二度"这个标准的天数分别占总数据量的97.05%和39.09%。结论宋元时期金星计算误差基本能达到北宋历法家制定的"差天二度"这个标准,但水星计算误差达不到这个标准。
【Abstract】 Aim To study and discuss the calculation accuracy of inferior planets’ apparent positions in Song and Yuan Dynastiies.Methods With the aid of computer,the apparent positions of Venus and Mercury in Jiyuan Li and Shoushi Li were calculated,theoretical values were contrasted with calculated values.Results It is showed that the percentage of days in those the error of right ascension of Venus and Mercury in Jiyuan Li less than 2 degree have reached 96.24% and 33.27% and the percentage of days in those precisions of Venus and Mercury in Shoushi Li under the 2 degree were 97.05% and 39.09%.Conclusion It is concluded that the daily position difference of the Venus in Jiyuan Li and Shoushi Li was accorded with the standard that the Calendar-makers of Northern Song Dynasty expected on the whole,but that of the Mercury in Jiyuan Li and Shoushi Li wasn′t accorded with that standard.
【Key words】 Jiyuan Li; Shoushi Li; Venus; Mercury; expansion and contraction difference;
- 【文献出处】 西北大学学报(自然科学版) ,Journal of Northwest University(Natural Science Edition) , 编辑部邮箱 ,2013年01期
- 【分类号】P1-092
- 【被引频次】5
- 【下载频次】187