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Development of Ancient Astronomy:The Peak of Yuan Dynasty Astronomy
Guo Shoujing led an unprecedented latitudinal survey, from the Korean Peninsula in the east, to the Sichuan-Yunnan and Hexi Corridor in the west, to the vicinity of Chamchung in the south, and to the poor Tiele in the north, and successively set up 27 heliophotographic stations for observation. History books call it the Four Seas Test. Because this observation network was distributed in large cities all over the world, with observation points set up at 10-degree intervals from 15 to 65 degrees north latitude, it yielded highly accurate data. Compared with modern latitude values, the average error is mostly within half a degree. The angle between the plane of the ecliptic and the plane of the equator, known today as the angle of intersection between the plane of the ecliptic and the plane of the equator, is one of the most basic data in astronomy and is used in many calendar calculations. Measurements before the Yuan Dynasty were not very accurate, and the angle of intersection of the ecliptic and equator was long thought to be 24 degrees. The new astronomical instrument in Guo Shoujing was used to re-measure the angle of intersection of the yellow and red, and the data of the angle of intersection of the yellow and red was 23 degrees and 90 minutes, which was converted into the present 23 degrees and 33 minutes and 53 seconds, and differed from the modern observation value by only 1 minute and 6.8 seconds. This was undoubtedly the most accurate in the world at that time. The twenty-eight stars were the basis for measuring the positions of the stars in ancient China. At that time, people divided the stars near the ecliptic into twenty-eight nights, with one star representing one night. The distance between two stars was called the distance. Yuan had measured the distance five times before, but the error was still large. After Guo Shoujing's precision measurements, the accuracy was greatly improved, with a total absolute error of 2 degrees and 10 minutes, and an average error of only 4 minutes and 5 seconds, nearly doubling the accuracy of the data measured by Chongning in the Northern Song Dynasty. Guo Shoujing also observed more than 1,000 new stars that had never been named before, bringing the number of observable stars in the Yuan Dynasty to nearly 2,500. In pre-Renaissance Europe, only 1,022 stars could be measured. This is the best evidence that astronomy reached its zenith in the Yuan dynasty. In fact, astronomy in the Yuan Dynasty was developed in the process of compiling the new calendar, the Gregorian calendar. After the unification of the whole country, Kublai established the Bureau of Taishi in the first month of the thirteenth year of the Yuan Dynasty, taking the compilation of the calendar as an important initiative for the unification of the dynasty. The Bureau of Imperial History was headed by Wang Bi, the ruler of Zanshan and the son of a drinking nation. Wang Gao put Xu Heng, a former left minister who had returned home sick, on the job, and Guo Shoujing was appointed to assist. In the compilation of the calendar, Xu Heng was responsible for theoretical guidance, while the practical work was undertaken by Wang Bi and Guo Shoujing respectively. Other participants were Japanese officials Chen, Mao, Liu Juyuan, and Wang Su. After four years of hard work, by the winter solstice of the seventeenth year of the Yuan Dynasty, the new calendar was completed, and Kublai named it the Calendar of the Granted Time, meaning respect for the people. The compilation of the calendar was a major breakthrough in ancient astronomy in China. In Guo Shoujing's own words, it means seven things for the examiner and five things for the creator, i.e., seven astronomical data were verified and five new data were calculated. Seven astronomical data: First, thirteen to seventeen years to the winter solstice; second is the position of the sun at the time of the winter solstice; third, the moment when the moon passes the perigee; fourth is the length of the return year and the age difference constant, 365.2425 days a year; is the fifth winter solstice before the moon rises above the intersection of the moment; is the equatorial coordinates of the twenty-eight constellations; is the seven yuan of the time of the sunrise, sunset and the length of day and night. Five new data: the daily rate of the Sun's orbit on the ecliptic, the daily rate of the Moon's orbit around the Earth, the longitude of the equator calculated from the Sun's ecliptic longitude, the latitude of the equator calculated from the Sun's ecliptic longitude, and the intersection of lunar eclipses with the equator.
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