Recover dates from historical ganzhi records: A new method of Chinese astronomical chronology

Astronomy and Astrophysics – Astronomy

Scientific paper

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General: History And Philosophy Of Astronomy, Astrometry And Celestial Mechanics: Ephemerides

Scientific paper

As a puzzle how to recover the dates particularly from the original historical Gan zhi (the Heavenly Stems and Earthly Branches) style to their belongings in Julian or Gregorian calendar system has been encountered in China for many years, for example, we are even unclear when the famous Xia, Shang and Zhou dynasties began and how many years the different kings occupied their powers for. After 1996, the Xia - Shang -Zhou Chronology Project was operated in order to do this work and then we have designed two new astronomical chronology methods, both named the Moon Age Method and Direct Solving Method, and here we give their detailed process. First we select eight dates at random from modern calendar from 1945 to 2005, and then change them to two types of historical Ganzhi style with 60-day cycle. These known dates, which simulate Chinese ancient dates but have incomplete parameters, are defined and provided for new astronomical chronology methods to investigate whether the real dates can be obtained again. Type A date knows the lunar month, day (moon age) and Ganzhi. Type B only knows the year, lunar month and Ganzhi. Then according to the traditional astronomical method, the total possible new moon dates which related to the eight dates of Type A and Type B are given respectively. But how to find the best results from a large number of candidates derived from traditional methods has become the key point and profound of the new methods. Afterwards, we employ both new methods step by step, the results of Type A data may be derived by the Moon Age Method and half obtain the unique solution, at the same time screen efficiency improves about 8 times. And the results of Type B data can also be obtained by the Direct Solving Method and each of them is just the same as what we set before, screen efficiency improves more than 18 times.
In fact, both new methods have deepened the traditional methods. It is their superiority that some of the chronology problems can be investigated accurately and effectively. Otherwise, not only the dates can be obtained and converted to Julian or Gregorian calendar system but some of the import parameters of ancient calendar issued then can also be revealed.

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