一种由地心直角坐标到大地坐标的直接转换  

A DIRECT TRANSFORMATION FROM GEOCENTRIC CARTESIAN TO GEODETIC COORDINATES

作　　者：李延兴[1] 张静华[1] 张俊青[1] 张中伏[1] 杜雪松[1] 

机构地区：[1]中国地震局第一监测中心,天津300180

出　　处：《大地测量与地球动力学》2007年第2期37-42,46,共7页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(40474036)

摘　　要：在分析大地坐标与地心直角坐标几何关系的基础上,建立了地心直角坐标与大地纬度正切的4次方程,由此方程可直接解算大地纬度。这种解算4次方程的算法简单,解算精度和效率优于已有的迭代算法和直接转换方法。On the basis of the analysis of the geometric relation between the geodetic and geocentric coordinates, a tangent quartic equation of geodetic latitude is established and thus the geodetic latitude can be solved directly. The algorithm for solving the quartic equation is simple. The calculated results indicate that the method is better than the existent iterative methods and the direct transformation method in calculating accuracy and efficiency.

关 键 词：地心直角坐标 大地坐标 坐标转换 四次方程 解的惟一性 

分 类 号：P226.3[天文地球—大地测量学与测量工程]