Mechanism Modeling of Satellite Proper Time and Inter-satellite Clock Difference in Relativistic System

被引：0
|
作者：
Jia Q. [1 ,2 ]
Li Q. [3 ]
Liu L. [1 ,2 ]
机构：
[1] School of Astronautics, Northwestern Polytechnical University, Xi’an
[2] Shaanxi Aerospace Flight Vehicle Design Key Laboratory, Xi’an
[3] School of Aerospace Engineering, Tsinghua University, Beijing
来源：
Yuhang Xuebao/Journal of Astronautics | 2024年 / 45卷 / 03期
关键词：
BeiDou Navigation Satellite System; General relativity theory; Inter-satellite clock difference; Navigation satellite; Time calibration and synchronization;
D O I：
10.3873/j.issn.1000-1328.2024.03.004
中图分类号：
学科分类号：
摘要：
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 intersatellite 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. © 2024 Chinese Society of Astronautics. All rights reserved.
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页码：366 / 375
页数：9
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