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地月空间单程测量观测建模与算法实现

Modeling and Algorithm Implementation of Cislunar Space One-Way Ranging Measurement

  • 摘要: 针对地月空间星地、星间链路观测建模与应用算法开展研究。根据测量原理,在广义相对论参考框架下详细推导了单程测量的观测建模方法;通过求和组合与求差组合给出了钟差消去与钟差解算的方法;根据求和组合观测模型的特征,推导了原时与坐标时差异变化的计算公式,并给出了具体的算法实现;结合典型轨道算例分析了相对论效应对单程测量建模的影响。结果表明,相对论效应引起的地月空间位置转换差异在10 m量级,原时与坐标时的差异每天变化数10 μs,是高精度导航建模必须考虑的因素,论文提出的建模算法可服务地月空间高精度导航应用。

     

    Abstract: The modeling and application of satellite to ground and Inter satellite link ranging is studied in this paper. Firstly, based on the measurement principle, the observation modeling method for one-way measurement is derived in detail under the reference frame in general relativity. Secondly, the method of clock error elimination and clock error estimation are 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 is derived, and a specific algorithm implementation is 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.

     

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