摘要
给出了《崇天历》完整的日食推算公式,将《崇天历》的日食算法编写为计算机程序。计算出自930至1119年间开封地区的所有日食,得到《崇天历》的日食计算精度。其日食食甚的平均误差是0.58 h,食分误差是1.6分;有超过10%的推算达不到当时的标准。《崇天历》的时差算法的误差绝对值均值为0.55 h,与食甚误差相当,也是食甚误差的主要来源。
A complete formula for calculating solar eclipse in chongtianli was offered with the eclipse algorithm in chongtianli written as a computer program. We calculated all the eclipses in Kaifeng from 930 to 1119, and got the accuracy of solar eclipse calculation in chongtianli. The average error of the eclipse is 0.58 h; the eclipse error is 1.6 points, and more than 10% projections do not reach the then standard. The absolute mean value of the time difference algorithm in chongtianli is0.55 h, which is equivalent to the eclipse magnitude error and is also the main source of eclipse magnitude error.
作者
滕艳辉
王鹏云
TENG Yanhui;WANG Pengyun(School of Mathematics and Information Science, Xianyang Normal University, Xianyang 712000, Shaanxi, China)
出处
《咸阳师范学院学报》
2018年第3期11-15,共5页
Journal of Xianyang Normal University
基金
国家自然科学基金项目(11603017)
陕西省教育厅科研计划项目(15JK1797)
关键词
《崇天历》
日食
算法
精度
时差
chongtianli
solar eclipse
algorithm
precision
time difference