基于四阶Runge-Kutta方法的大地主题正算

Positive operator of earth theme based on fourth-order Runge-Kutta method

基于椭球面上大地线的微分方程,将各大地主题元素之间的关系作为初始条件,通过数值方法求解大地线的微分方程,进行大地主题的正解。以实际数据验证了其正确性与可行性。采用严密公式计算,精度高,公式简单,特别适用于计算机解算。

Based on differential equation of geodesic on the surface of ellipsoid, the problem of direct solution of geodetic is solved through numerical method. The relationship of geodesic is deduced and introduced as the initial condition for the differential equation. Numerical experiments are given, and the validity and feasibility of the method proposed in this paper have been proved. Besides, all the formulas are rigorous, simple and easy to be realized by computer.