Mechanism Modeling of Satellite Proper Time and Inter-satellite Clock Difference in Relativistic System
To meet the demand for high-precision autonomous time reference of new generation navigation satellites,and addressing the unclear mechanism of picosecond level inter-satellite clock difference,the proper time and inter-satellite picosecond clock difference models are proposed using general relativity theory.The models utilize the satellite state to compute the on-board atomic clock deviation relative to the reference clock and inter-satellite clock difference.Firstly,beginning with the metric tensor in geocentric coordinate reference system,the satellite motion equations are derived using general relativity theory.Then,according to the invariance of space-time interval,the proper time model considering the non-spherical J2 perturbation is established and the inter-satellite clock difference model with J2 correction is further given.Finally,the simulation is conducted by taking BeiDou Navigation Satellite System and GPS constellations for examples,providing a feasible modeling solution for time correction and synchronization in new generation navigation systems.The simulation results demonstrate the accuracy of satellite proper time and inter-satellite clock difference models is in the order of picoseconds,which can accurately calculate the proper time deviation of the on-board atomic clock in the gravitational field and inter-satellite clock difference.
Navigation satelliteInter-satellite clock differenceTime calibration and synchronizationGeneral relativity theoryBeiDou Navigation Satellite System
万方数据
维普
