Algorithm for ground positioning by simultaneously imaging stars and low orbit satellites
Celestial positioning is widely used in land-based,sea-based,air-based and space-based platforms for its advantages of strong anti-interference,good concealment and non-accumulated error with time.In recent years,the rapid development of low-orbit giant constellation technology has provided an opportunity for the development of navigation technology.In this pa-per,we propose a positioning algorithm based on optical observation of low-Earth orbiter(LEO).First of all,the angles be-tween the LEO and stars are considered as the basic observation,and the positioning model is derived in details.Then,the main error sources impacting on the positioning accuracy is analyzed,and the error propagation formulas are given.At last,the simulation experiments based on the Starlink constellation are conducted,the results of which show that the average positioning accuracy of this algorithm can totally reaches 30.5 m,with 4.3 m in north direction,6.3 m in east direction and 29.5 m in ver-tical direction.The algorithm not only owns the advantages of traditional celestial positioning,but also gets rid of horizontal datum,providing a new way to develop the miniaturized,fast and automated celestial navigation equipment without the need of horizontal reference.
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