公历置闰年方法的解析

历法的本质是对时间的度量问题,公历的核心问题是置闰年,公历是借助置闰协调历年与回归年之间的误差.利用辗转相除法将公历历年中的平年与回归年的误差同1作辗转相除,并按相除结果将0.242 2表为连分式.依次截取连分式,得到0.242 2的渐近分数序列.在其中选取8/33与31/128近似表示0.242 2,得33年8闰与128年31闰的置闰方法.在此基础上利用单位分数来表示31/128,得到一种复合周期置闰法,这便是公历的置闰规律.

An analysis on the solar calendar method for a leap year

The essence of calendar exactly refers to the measure of the time. The main problem of solar calendar is how to install a leap year. The purpose of the solar calendar is to coordinate the error between calendar year and tropical year through installing a leap year. Deduct Arabic number 1 with the errors lying between the common years in solar calendar years and tropical years by using division algorithm, then file 0.2422 as continued fraction according to the deducting result. Produce the Incremental sequence of fraction by cutting out continued fraction successively. Selecting 8/33 and 31/128 to approximately represent 0. 2422 so as to achieve the method of installing a leap year about 8/33 （ 8 leap years in 33 years） and 31/128 （ 31 leap years in 128 years） . On the basis of the above, Using unit fraction to show 31/128 so as to obtain one kind of compound cycle method of installing a leap year. This is called law of installing a leap year of solar calendar.