Abstract:
The modeling and application of satellite to ground and Inter satellite link ranging was studied in this paper. Firstly, based on the measurement principle, the observation modeling method for one-way measurement was derived in detail under the reference frame in general relativity. Secondly, the method of clock error elimination and clock error estimation were given through the summation combination and difference combination. Thirdly, according to the characteristics of the summation combination observation model, the calculation formula for the difference between the proper time and the coordinate time was derived, and a specific algorithm implementation was provided. Finally, the influence of relativistic effects on one-way measurement modeling was analyzed using typical orbital examples. The results show that the difference between the Earth-Moon space position conversion caused by the relativistic effect is on the order of 10 meters, and the difference between the proper time and the coordinate time changes by tens of microseconds per day, which is a factor that must be considered in high-precision navigation modeling, and the modeling algorithm proposed in this paper can serve the application of high-precision navigation in cis-lunar space.