农历置闰月方法的解析

指出农历的历法要素与公历的历法要素的不同点.从数学角度对农历“19年7闰”的置闰方法进行详细的推演,即首先将农历平年与回归年的差值同朔望月时长的比值通过辗转相除表为连分数,逐次截取连分式,得一渐近分数序列.在渐近分数序列中选取适当的分数作为所求比值的近似值,由此就得到了农历的置闰方法.探讨农历复合置闰的可能性.指出由于传统农历的一些特殊约定,使得采用复合置闰变得价值不大

An analysis on the lunar calendar method for a leap year

The paper points out the differences between calendar elements of lunar and the elements of solar calendar.Implement detailed deduction for the methods of installing a leap year(7 leap years in 19 years) from the view of mathematics.The methods are as follows: firstly,do deduct for the ratio of the lunar month time together with D-value between the common years in lunar calendar years and tropical years by using division algorithm,and then file it as continued fraction.Produce the incremental sequence of fraction by cutting out continued fraction successively.Choosing proper fractions as the approximate value of the ratio thereby gain the method of installing a leap year for lunar calendar.Even do further discussion about the possibility of compound method of installing a leap year.And prove that the less value of compound method of installing a leap year due to some special conventions of traditional lunar calendar.