低轨卫星约化动力法定轨参数变换的高效算法

doi:10.11947/j.AGCS.2018.20180307

摘要/Abstract

摘要： 针对低轨卫星约化动力法定轨中分段力学经验参数增多导致执行效率较低的问题，提出了一种基于参数变换的高效定轨算法，并进行了详细理论推导。试验结果表明：采用9参数经验力模型和伪随机脉冲模型对GRACE-B卫星精密轨道进行动力学平滑，R、T、N三方向RMS均不超过0.004 m，在执行效率方面，经验力模型高效算法效率提升不明显，但伪随机脉冲模型高效算法与传统算法相比，耗时节约了69%；采用9参数经验力模型和伪随机脉冲模型进行约化动力法定轨，R、T、N三个方向RMS达到0.02 m，在执行效率方面，前者高效算法比传统算法耗时节约了21%，后者节约了78%。

关键词: 伪随机脉冲, 经验力模型, 参数变换, 轨道确定, 高效算法

Abstract: Aimed at the problem that the efficiency of reduced dynamic orbit determination(OD) for LEOs became lower and lower as the piece-wise dynamic parameters increased, an efficient algorithm, which was based on parameter transforming was proposed and a set of formulas were deduced theoretically. Using the efficient algorithm, the LEOs' OD was realized and the performance was improved efficiently. An experiment that nine parameters' empirical force model and pseudo stochastic pulse model were used to smooth GRACE-B's precise orbit respectively was performed. The result shows that the RMS in R, T and N is less than 0.004 m. In the way of efficiency, the improvement of nine parameters' empirical force model is not distinct, but compared to the traditional algorithm, the time consumed by the efficient algorithm is saved about 69%. Another reduced dynamic OD experiment is performed by using nine parameters' empirical force model and pseudo stochastic pulse model. The result shows that the RMS in R, T and N reachs 0.02 m. In the way of efficiency, compared to the traditional algorithm, the time consumed is saved about 21% in the former and 78% in the latter by the efficient algorithm.

Key words: pseudo stochastic pulse, empirical force model, parameter transforming, orbit determination, efficient algorithm

中图分类号:

P228.1

闫志闯, 徐新强, 赵德军, 张英利, 楼楠. 低轨卫星约化动力法定轨参数变换的高效算法[J]. 测绘学报, 2018, 47(S0): 28-37.

YAN Zhichuang, XU Xinqiang, ZHAO Dejun, ZHANG Yingli, LOU Nan. An Efficient Algorithm with Reduced Dynamic Orbit Determination for LEOs Based on Parameter Transforming[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(S0): 28-37.

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