Chinese Astronomy: The Imperial Calendar

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Traditionally, Chinese astronomy is traced back to the time of the legendary emperor, Fu-his (2852.B.C.). The measurements and reverent calculations of the royal astronomers provided the basis for the imperial calendar and yearbook. The yearbook fixed the lengths of the months, determined the dates of the spring and autumn equinoxes – the times a year that night and day are of equal length – and of the summer and winter solstices – when night and day differ the most in length.
Wan-nien, supposedly, created the ‘perpetual calendar’ or the ‘Wan-nien-li’ during the Shang dynasty (1766-1123 B.C.). He measured the time by noting the length of the shadows throughout the year with a gnomon template and the length of each day with a clepsydra (water-clock). By these empirical observations and measurements of the longest and shortest days in the year, he established the two solstices and the two equinoxes. Moreover, he concluded that there were three hundred sixty-five and a fraction of days within a year’s time. Afterwards, the phases of the moon, from dark to full and to dark again, which have no fixed relationship with the solar year, had to be included in the computations so that the calendar months could be adjusted to fit the year.
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However, the choice of month for beginning the year changed with time and place. In the late second century B.C., a calendar modification was established, which continues even till today, regarding the winter solstice to occur in 11th month. This reform also introduced the intercalation system in which dates of New Moons are compared with the 24 solar terms. However, calculations were based on the mean motions resulting from the cyclic relationships. Inequalities in the Moon's motions were incorporated as early as the seventh century A.D., but the Sun's mean longitude was used for calculating the solar terms until

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