《纪元历》五星定见算法及其精度研究

The Corrected Appearance Algorithm of Planetary Theory in Jiyuan Li

推求五星定见时刻是中国古代行星理论中的一个重要算法,该算法由于涉及到五星和太阳的不均匀运动而显得比较复杂。按照中国古代历法家的思路,利用现代天文学知识,构建了五星定见算法的数学模型,并选择宋代名历《纪元历》,详细讨论了《纪元历》五星定见算法的算法模型、合理性及精度。

Calculating the moment of planetary first appearance is an important algorithm in Chi- nese planetary theory. This algorithm is very complicated because of planetary and solar center equa- tion. In this paper, we construct theoretical model of corrected appearance algorithm based on the thought of Chinese astronomers and the knowledge of modem astronomy. Furthermore, we discuss the rationality and accuracy of corrected appearance algorithm in Jiyuan Li of Song Dynasty.