Atmospheric refraction error is an important factor affecting the positioning accuracy of satellite navigation and radar. In this research, we focused on an inversion correction method based on the mapping function approach to improve the correction accuracy of atmospheric refraction error. First, we analyze the sensitivity of different coefficients on the correction accuracy in the continued fraction function of global mapping function model and conclude that coefficient a in the function is the main factor. Then, the mapping function method is reduced to an inversion correction model with undetermined parameters including coefficient a in the continued fraction function and zenith delay τ , in which the undetermined parameters involve inversion according to observation data by particle swarm optimization so as to improve the correction accuracy of atmospheric refraction error. Finally, application of the inversion method and an example indicate that the inversion correction method can correct the atmospheric refraction error at an impending moment and by using the refraction error under a partial elevation angle.

大气折射误差是影响卫星导航和雷达定位精度的重要因素。在本研究中，我们重点研究了一种基于映射函数法的反演校正方法，以提高大气折射误差的校正精度。首先，我们分析了全局映射函数模型的连分数函数中不同系数对校正精度的敏感性，得出函数中的系数a是主要因素。然后，将映射函数法简化为具有不确定参数的反演校正模型，包括连分数函数中的系数a和天顶延迟τ ，其中未定参数涉及根据观测数据通过粒子群优化反演，以提高大气折射误差的校正精度。最后，反演方法的应用和实例表明，反演校正方法可以利用部分仰角下的折射误差来校正即将发生的大气折射误差。