大地主题解算算法实现的边界问题及精度分析

针对大地主体解算算法在工程实现上存在大地线跨越±180°经线、赤道线以及穿越±90°极点时，计算失效的问题，通过引入边界突变讨论机制，提出了Bowring公式和Vincenty公式边界问题的工程实现方法。仿真结果表明，该方法解决了大地线跨越±180°经线、赤道线以及穿越±90°时，计算失效的问题，对边界突变具有较好的适应能力。在此基础上，进一步分析了上述两种大地主题解算算法在不同距离范围内的计算精度，并指出了算法各自分别适用的应用范围。

Analysis of Border Problems and Precision Realized by Geodetic Problems Algorithm

This paper aims at solving the problem of failure of the earth theme algorithm in engineering realization, when the earth line crosses the ±180° longitude line and the equator, and the earth line crosses the ±90° north pole or the south pole. By introducing the discussion mechanism of boundary mutation, an engineering method was developed to solve the Bowring and Vincenty formula boundary problems. The simulation results show that this method solves the problem of calculated failure, when the earth line crosses the ±180° longitude line and the equator, and the earth line crosses the ±90° pole. The proposed method has good adaptability for the sudden change of boundary. On this basis, the calculation precision of the two algorithms for solving the above-mentioned geodesics in different distance ranges was further analyzed. The applicable ranges of two algorithms were pointed out respectively.