一种适用于古天文研究的月亮历表

A Simplified Lunar Ephemeris for Historical Astronomy Research

通过对古天文研究中用到的月亮历表的特点及制作方法的分析，认为Ｃｈａｐｒｏｎｔ的半分析月亮历表在大时间尺度下具有良好的稳定性，适合古天文研究的应用．在此理论基础上，制作了一个简化的、实用的月亮历表．该历表与Ｃｈａｐｒｏｎｔ的历表在１５００Ｂ．Ｃ．～２０００Ａ．Ｄ．的黄经系统差在１．５″之内．为应用方便，给出了简化历表所用的月亮参数的高次表达式、傅里叶系数表及一个算例，读者可据此编制自己的计算月亮位置的程序。

The features of the lunar ephemeris used in historical astronomy research are analysed in thes paper. The investigation on ancient observations does not require a very precise lunar ephemeris but a very stable one,i. e.,the secular drifts should be as small as possible (related to the high power of time).The lunar ephemeris made by Chapront is recommended, for its stability is good over a long time span. On the basis of Chapront's semi-analytical lunar theory, an simplified lunar ephemeris is developed. which is easily to be used.The general formula of this simplified solution are as follows:where,V, U, R stand for longitude.latitude and distance respectively;D, F, ι′,ι stand for Delaunay's arguments;P stands for pertubation arguments:AV,AU, AR, iD, iτ, iι, iF stands for the coefficients given by this paper.The comparison of the simplified lunar ephemeris with the Chapront's for a period of over 35 centuries shows that the systematic error is less than 1. 5″.For practical purpose,the expressions for mean lunar arguments, Fourier coefficients of the lunar ephemeris, as well as a mumerical example are presented for a given value of the tidal secular acceleration (-23. 895″/cy2)