LEO range-sum data simulation method and multi-LEO combined orbit determination modeling with its weighting algorithm

For multi-LEO orbit determination based on Bi-satellite Positioning System (BPS), trajectory error of positioning satellites becomes bottle-neck which improves orbit determination precision of LEOs, so we can take combined orbit determination strategy of BPS and user satellites (LEOs) to ameliorate precision. This paper constructs a basic method of range sum observation data simulation for single Low Earth Orbit (LEO) precise orbit determination by statistical analysis of ranging error characteristic, and establishes precise orbit determination model and ranging system error parameters estimation algorithm based on numerical fusion method. Then the paper constructs multi-LEO COD model and corresponding optimal estimation algorithm by introducing weighting factor, and carries out simulation experiments. Simulation computations show that we can improve LEOs COD precision to the greatest extent by constructing rational COD model and optimal weighting algorithm, which proves the feasibility of multi-LEO data fusion model of COD strategy in the paper and can satisfy LEO high precision application requirements.