Cooperation factor map of co-location aided single satellite navigation algorithm

When the satellite navigation system is in area denial due to the satellite is damaged in war or the planetary exploration without the satellite navigation system, the single satellite navigation system can be quickly deployed to provide positioning support for the target. However the large orbit error of the single satellite navigation system leads to large positioning error. In order to solve this problem, a cooperation factor map of co-location aided single satellite navigation algorithm is proposed. The algorithm utilizes the pseudo range differences between the different satellite pseudo ranges in different time to construct two positioning hyperbolic planes and combines the altitude of the target to achieve target continuous position. The pseudo range differences can solve the clock error of satellite and receiver. Then, the algorithm utilizes the high precision distance information between multiple targets to establish the cooperation factor map and utilizes it to revise the position of targets. The proposed algorithm is compared with the existing Doppler aided single satellite navigation algorithm and the radial acceleration single satellite navigation algorithm from three aspects of satellite orbit determination error, ranging error and positioning error. The simulation results show that the position error of the proposed algorithm is about 1%~10% of the other single satellite navigation algorithms.