太阳历表的简便数学模型

在一般工程测量单位,观测太阳进行天文定位、定向时,必须依赖于中国天文年历中的太阳历表,这是极为不便的。本文首先根据纽康的太阳公式,对太阳历表的计算进行了分析,从而建立了一个适用于袖珍电子计算机或程序计算器的简便太阳历表数学模型。通过对该模型计算结果的精度分析,说明该模型的精度完全适用于目前一般工程测量进行天文定位、定向的要求,这样不仅摆脱了对中国天文年历的依赖,同时也提高了野外作业速度。

A Simple Mathematical Model of Solar Ephemeris

Common departments of engineering survey depend on the solar ephemeris in the Chinese Astronomical Year Book for determining positions and directions by observing the Sun. This is extremely inconvenient. This paper, after analysing the calculations of the solar ephemeris according to the Newcomb's solar formula, establishes a simple mathematical model of solar ephemeris suitable for a pocket computer or programe calculator. Through the analysis of the accuracy of the calculation result based on this model, it concludes that the accuracy is high enough to make astronamical positions and orientations nowadays in generel engineering survey. Therefore the model will not only free engineering surveying from the Chinese Astronomical Year Book, but also increase the speed of its field work.