中文摘要：

张子信之前的历法家以五星和太阳的平均运动推算五星始见时刻，从隋代《皇极历》开始，历法家在设计五星定见算法时，逐渐考虑了五星和太阳的不均匀运动，在宋代的《崇天历》中，五星定见算法基本定型．梳理了中国古代五星定见算法的历史沿革，并根据五星定见算法的特征，以《皇极历》、《大衍历》和《崇天历》为关节点，将五星定见算法的历史分为四个阶段．

英文摘要：

The Corrected Appearance Algorithm is a important algorithm in ancient Chinese planetary theory. Calendar-makers before Zhang Zi-xin calculated the moment at which planets firstly appeared according to the average speed of five planets and the sun. From Huangji Calendar of the Sui Dynasty on, calendarmakers began to consider the equation center of five planets and the sun when they designed the corrected appearance algorithm. In Chongtian Calendar of the Song Dynasty, the corrected appearance algorithm falled into a pattern. In this paper, we discuss the history of corrected appearance algorithm and divide it into four phases according to the features of . corrected appearance algorithm, and the critical points of four phases are Huangji Calendar, Dayan Calendar and Chongtian Calendar.