样条模型在近地卫星精密定轨仿真中的应用

考虑到基于双星定位系统的近地卫星精密定轨待估参数的时间相关性,该文提出一种基于卫星离散状态信息和样条模型的近地卫星精密定轨节省参数建模新方法,构建了基于三次标准B样条模型的近地卫星轨道参数和系统误差估计模型,在传统精密定轨数值算法的基础上设计了针对样条待估参数的改进融合算法,并通过仿真产生距离和观测数据进行了近地卫星精密定轨仿真实验。理论分析和仿真计算结果表明,与传统精密定轨数值方法相比,该方法可以在有效避免法化矩阵的复共线性问题的前提下获得较好的定轨精度,而且该算法具有计算量小,计算速度块,稳健性好等特点。

Application of Spline Model to LEO Precise Orbit Determination Simulation

Considering the time pertinency of to-be-estimated parameters in LEO's precise orbit determination based on Bi-satellite Positioning System(BPS),this paper puts forward a new method of precise orbit determination with reduced parameter modeling which syncretizes the discrete state information and spline model.This paper establishes LEO orbit parameters and system error parameters estimation models based on cube standard B-spline,and designs an improved fusion algorithm aiming at spline to-be-estimated coefficient based on traditional precise orbit determination numerical algorithm and carries out orbit determination simulation experiment by simulating range sum observation data.Theoretic analysis and simulation computation results show that this method can gain better LEO orbit determination precision by avoiding approximate linearity of design matrix,and has the characteristic of faster computation and higher stability.