基于小波变换的轨道摄动时间序列建模及仿真

Modeling and Simulation on Orbital Perturbation of Satellite by Time-sequence Analysis Based on Wavelet Transformation

卫星摄动分析是卫星定轨的关键。卫星摄动变化规律复杂,直接影响定轨精度和计算效率。在摄动力分类和轨道摄动偏差统计分析的基础上,给出了一种基于小波变换的卫星轨道摄动时间序列分析建模方法。研究了基于小波变换的卫星轨道摄动偏差特征提取方法,能够对轨道摄动偏差做出很好的预测和噪声平滑;采用时间序列分析方法,构造了摄动偏差残差的统计模型;建立了基于卫星轨道摄动偏差残差AR(2)平稳时间序列表示的稀疏参数化卫星摄动的精确模型,达到对卫星轨道进行有效预测的目的。

The analysis of orbital perturbation of satellite is the key for satellite orbit determination. However, orbital perturbation of satellite is a very complicate problem, which directly influences the precision and computation efficiency of orbit determination. A modeling method on orbital perturbation of satellite by time-sequence analysis based on wavelet transformation was proposed after the classification of perturbation and the statistics analysis of orbital perturbation difference. The characteristic identification method for orbital perturbation difference via wavelet transformation was researched, which has a high performance in prediction for perturbation difference. Moreover, according to the step of time-sequence analysis, the statistical model for the perturbation difference was constructed, which can re-establish orbital perturbation of satellite. The precise spare parameter perturbation model of satellite based on the residual of perturbation difference expressed by balanced time-sequence AR （2） model was constituted, which can reach the destination to predict the satellite orbit effectively.