一种大地坐标变换的快速算法

大地纬度的解算是从地心直角坐标到大地坐标变换的关键 ,传统上多采用迭代法 ,效率较低 ,难以满足实时性较高的应用。本文给出了一种非迭代的、采用有理多项式逼近的方法来计算大地纬度 ,并且通过与 Heikkinen、改进 Bowring、Ozone三种算法的比较证明这是一种速度极快的算法 ,而且在 5 0公里以下的范围内 ,采用这种算法的平均误差不超过 1毫米

Fast Procedures for Geodetic Coordinate Transformation

The computing of latitude is the key of geodetic coordinate transformation from geocentric coordinate which conventionally uses iterative methods and results in low efficiency and is hard to cope with most real time occasions. Inthis paper, a non iterative method using rational polynomials approximation is introduced and through the compare with heikkinen,improved Bowring and Ozone methods is proved to be a very fast procedure as well as a method having an averageaccuracy of no more than 1 mm below 50 km.