本文選題：大衍歷 + 爻象歷��； 參考：《科學(xué)技術(shù)哲學(xué)研究》2016年02期

【摘要】：一行在《大衍歷》中修正行星的不均勻運(yùn)動(dòng)時(shí),放棄了隋代及初唐歷法中的五星入氣加減差算法,首創(chuàng)表格形式的五星爻象歷,并設(shè)計(jì)了與此相應(yīng)的五星盈縮差算法。文章在前人研究基礎(chǔ)上,通過詳細(xì)解讀《大衍歷》術(shù)文,指出《大衍歷》中五星爻象歷相當(dāng)于行星中心差表,進(jìn)退變率相當(dāng)于宋代歷法中的五星盈縮差,二者之間的轉(zhuǎn)化系數(shù)由一組常數(shù)"乘數(shù)"和"除數(shù)"決定�！段寮o(jì)歷》沿著《大衍歷》的思路,大大簡化了乘數(shù)和除數(shù)的設(shè)置,《宣明歷》不再設(shè)乘數(shù)和除數(shù),其五星平見加減歷已演變?yōu)樗未逍怯s歷的雛形,由此勾勒出唐宋時(shí)期五星盈縮差算法演變的歷史脈絡(luò)。此外,文章還利用《大衍歷》火星爻象歷構(gòu)造了火星盈縮歷,并討論了《大衍歷》以后各歷中火星盈縮歷的精度。
[Abstract]:When one row corrects the inhomogeneous motion of the planets in the Great derivative Calendar, it gives up the algorithm of adding and subtracting the five stars in the calendar of the Sui Dynasty and the early Tang Dynasty, and creates the five-star line image calendar in the form of the tabular form, and designs the corresponding algorithm of the five-star surplus and contraction. On the basis of previous studies, this paper points out that the five star line ephemeris in the Great Yan Calendar is equivalent to the planetary center difference table, and the rate of advance and regression is equivalent to the five star surplus and contraction difference in the Song Dynasty calendar. The conversion coefficient between the two is determined by a set of constant "multipliers" and "divisors". The addition and subtraction of the five stars has evolved into the embryonic form of the five star surplus and contraction calendar in the Song Dynasty, which outlines the historical context of the evolution of the five star shrinkage algorithm in the Tang and Song dynasties. In addition, the Martian surplus contraction calendar is constructed by using the Martian line image calendar, and the accuracy of the Martian retractive ephemeris in the later calendars is discussed.
【作者單位】： 咸陽師范學(xué)院數(shù)學(xué)與信息科學(xué)學(xué)院;
【基金】：國家自然科學(xué)基金(11073016) 國家社會(huì)科學(xué)基金重大項(xiàng)目(15ZDB029) 教育部人文社會(huì)科學(xué)研究西部和邊疆地區(qū)項(xiàng)目(14XJA770001) 陜西省社會(huì)科學(xué)基金(2014H04) 陜西省教育廳科學(xué)研究項(xiàng)目(14JK1795)
【分類號(hào)】：P194

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