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基于恩克法的雷达交接时刻预报与误差分析 被引量:4

Prediction and Error Analysis for Radar Handover Time Based on Encke Method
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摘要 弹道预报是导弹预警中雷达交接时刻预报的重要环节,为提高交接时刻的预报精度,将恩克法应用于弹道预报中,首先利用二体力学模型建立了导弹运动的基准轨道,通过求解基准轨道与实际轨道偏差的微分方程,得到偏差值,然后,将基准轨道与偏差相加,实现对实际弹道的预报,由此弹道预报得到雷达交接时刻的预报。在进行误差分析时,采用无迹变换的方法,计算了交接时刻的状态协方差矩阵,进而,由协方差矩阵刻画了交接时刻的误差椭球。仿真实验表明,与传统的方法相比,该算法考虑了导弹运动中的摄动因素,能够进行大时长积分,运算耗时少,且计算精度高,对于雷达交接时刻的预报具有较高的应用价值。 Trajectory prediction is an important step in radar handover time prediction in missile early warning.In order to improve the prediction accuracy of radar handover time,Enke method is applied to the ballistic missile prediction.Enke method establishes the reference track of the missile movement by using the two body mechanical model,solves the differen tial equation of the deviation between the reference track and the actual track to obtain the deviation value,combines the ref erence track and the deviation value to get the actual orbit,then gets the radar handover predicted time by this trajectory pre diction.In the error propagation analysis,firstly the state covariance matrix at the handover time is calculated by using the method of unscented transform,then the error ellipsoid at the handover time is calculated by the state covariance matrix.The simulation results show that,compared with the traditional trajectory prediction method,Enke method considers the influence of the perturbation factor in missile motion,can integrate over a long time,and take less time to obtain higher accuracy.It is of high application value for radar handover time prediction.
作者 王彪 吴楠 孟凡坤 王建涛 WANG Biao;WU Nan;MENG Fan-kun;WANG Jian-tao(Information Engineering University,Zhengzhou 450000;Unit 95129 of PLA,Kaifeng 475000,China)
出处 《指挥控制与仿真》 2019年第5期47-53,共7页 Command Control & Simulation
关键词 弹道预报 雷达交接时刻 恩克法 误差分析 无迹变换 trajectory prediction radar handover time Encke method error analysis unscented transform
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