【摘要】 为了解决目前贝塞尔大地主题反解算法不统一与存在适用条件限制的问题,根据球面三角形正、余弦定理和拉格朗日级数理论,用计算机代数系统推导并给出一种改进的大地主题直接反解的微分改正方法。该算法消除了逐次趋近计算,适用传统反解算法中的奇异情况,解决了求解三角方程中方位角的多值对应问题。试验结果表明,当大地线长度小于20000km时,算法精度高达0.0001s,具有通用性,特别适用于电算化,对远洋大地线航法计算具有一定的应用价值。更多还原

【Abstract】 In order solve the nonuniform algorithms of Bessel’s inverse problem and the application restrictions of the algorithms,sine and cosine theories based on sphere triangle and Lagrange series theory were analyzed,and an improved arithmetic of differential correction for the direct inverse solution of geodetic problem was put forward by using computer algebra system. Simulation result shows that the improved algorithm is suitable for the arbitrarily special situations without iterative calculations,and has high accuracy of 0.000 1 s when geodetic length is less than 20 000 km. The azimuth multiple-valued corresponding problem in the solution of trigonometric equation is solved. The improved algorithm is also suitable for the program implementation without generality loss,and can be applied in the area of ocean geodetic line sailing computation. 4 tAbs,4 figs,11 refs.更多还原