一种通用精准的直角坐标到大地坐标的算法

Generally accurate algorithm from rectangular coordinates to geodetic coordinate

针对目标由直角坐标向大地坐标的转换中算法精准性能较差、病态问题突出等问题,根据地球模型特性,研究与纬度相关的源于三维大地坐标到直角坐标的四次多项式求解,利用变换式内在关系和数学变换技巧规避病态问题,提出了新的直角坐标到大地坐标的转换算法.实验结果表明,同其他方法相比,该方法具有适用空域广、转换精度高以及运行时间较短的特点,可有效应用于多种平台之间目标直角坐标和大地坐标的相互转换.

In allusion to the problems of the poor accuracy and prominent ill-conditioned existed in some algorithm transform from rectangular coordinates to geodetic coordinate, according to the characteristics of the earth model, this paper studies the solution of quartic polynomial related to the latitude, which originates from 3D geodetic coordinate to rectangular coordinates. In terms of the intrinsic traits of the transform formula and the mathematical transform trick avoiding ill-conditioned, the author brings forward a new transform algorithm from the rectangular coordinates to geodetic coordinate. Experimental results show that this method has a few features of broad applicable space-domain, high transform accuracy and short running time, compared with other methods, thus applying effectively to the mutual conversion between multiple platforms from rectangular coordinates to geodetic coordinate.