Inversion correction method based on the mapping function approach for correcting troposphere refraction error

Abstract

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.