辽宁师专学报：自然科学版
遼寧師專學報：自然科學版
료녕사전학보：자연과학판
Journal of Liaoning Teachers College(Natural Science Edition)
2012年
1期
5-7,10
,共4页
公历%置闰%复合周期%渐近分数
公歷%置閏%複閤週期%漸近分數
공력%치윤%복합주기%점근분수
solar calendar%installing a leap year%compound cycle%convergent
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.
歷法的本質是對時間的度量問題,公歷的覈心問題是置閏年,公歷是藉助置閏協調歷年與迴歸年之間的誤差.利用輾轉相除法將公歷歷年中的平年與迴歸年的誤差同1作輾轉相除,併按相除結果將0.242 2錶為連分式.依次截取連分式,得到0.242 2的漸近分數序列.在其中選取8/33與31/128近似錶示0.242 2,得33年8閏與128年31閏的置閏方法.在此基礎上利用單位分數來錶示31/128,得到一種複閤週期置閏法,這便是公歷的置閏規律.
역법적본질시대시간적도량문제,공력적핵심문제시치윤년,공력시차조치윤협조력년여회귀년지간적오차.이용전전상제법장공력력년중적평년여회귀년적오차동1작전전상제,병안상제결과장0.242 2표위련분식.의차절취련분식,득도0.242 2적점근분수서렬.재기중선취8/33여31/128근사표시0.242 2,득33년8윤여128년31윤적치윤방법.재차기출상이용단위분수래표시31/128,득도일충복합주기치윤법,저편시공력적치윤규률.
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.
