参考椭球大小可变的高斯大地解算方法研究

A New Approach to the Translation Computations between Ellipsoid and Gauss Projection Plane with Variable Size Parameter of Ellipsoid

参考椭球的a,b可变带来的直接问题便是大地计算模型中X和B1参数难于求解.本文提出了参考椭球的a,b可变的一种大地正算和大地反算的新算法.推导了算法的基本公式并设计了计算流程,在此基础上,编制了相应的计算机计算程序,并进行了初步的计算,得出了满意的结果.

If the size parameters a and b are variable, the direct problem in translation computations between ellipsoid and Gauss projection plane is that the parameters of X and Bf would not be easy to be gotten. A new method to carry out the translation computations between ellipsoid and Gauss projection plane directly and scientifically has been put forward. With the help of modern geodesy techniques, adjustment theory and computational techniques,a set of new formula for the calculations are put forward and the calculation process is planned on computers. Based on the theory and model, a sample is used to test the theory and model with the computer program produced in this research project.Finally,some positive suggestions and conclusions are put forward for the mathematic model.