The accuracy of the Sun's meridian observation and the solstices survey and calculation in ancient China

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomy History, Accuracy, Statistics, Sun, Meridian Observation, Solstices, Shoushi Liyi, Ephemeris

Scientific paper

This paper investigates the Sun's meridian observation and the solstices survey and calculation, which recorded in Shoushi Liyi in the 13th century, an ancient treatise for reviewing Shoushi calendar in Yuan dynasty of China. It is derived that (1) from 1277 to 1280 and after 98 meridian observations of the Sun, the absolute value of average error of the time is 2.64 min and for altitude is 6.78'; (2) to all the six ancient calendars of the Dayan, Xuanming, Jiyuan, Tongtian, Chongxiu Daming and Shoushi, the errors when three winter solstices reckoned before BC 522 are within 0.97 to 3.51 d and to other 45 data calculated from the period of AD 435 to 1280, the absolute value of mean error of the six calendars are 9.35, 10.42, 5.54, 2.97, 5.68, 3.36 h; (3) the absolute value of mean error of 16 ancient solstices times within AD 422 to 1280 is 199.59 min and in Yuan dynasty the result is just 27.89 min.

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