机载捷联导弹交班点目标捕获概率

doi:10.12382/bgxb.2024.0495

摘要/Abstract

摘要：

针对机载捷联导弹打击地面移动目标场景下中末制导交班点处的目标捕获问题,研究了弹体位置散布、姿态散布和目标散布3个要素对于红外导引头捕获概率的影响,利用函数误差分析推导了视线角均方差的解析表达式,并建立了当前点和前置点两种攻击方式下导弹捕获概率解析模型。仿真结果验证了模型的正确性,并可以据此确定可打击目标的运动速度范围。

关键词: 机载捷联导弹, 函数方差分析, 捕获概率, 解析模型, 目标机动

Abstract:

The acquisition of a ground-moving target at the terminal guidance hand-over point in the scenario of an airborne strapdown missile attacking the target is investigated.The influences of three key factors,including missile position dispersion,attitude dispersion,and target dispersion,on the acquisition probability of infrared seeker are studied.Then the analytical expression for the mean square error of line-of-sight angle is derived based on functional error analysis.Furthermore,an analytical model of acquisition probability under two attack modes,namely current point and pre-point,is established.Simulated results verify the model’s accuracy,which enables determining the range of moving velocity of target that can be engaged.

Key words: airborne strapdown missile, functional analysis of variance, acquisition probability, analytical model, maneuvering target

吴嘉杨, 杨华波, 白锡斌, 张士峰. 机载捷联导弹交班点目标捕获概率[J]. 兵工学报, 2025, 46(6): 240495-.

WU Jiayang, YANG Huabo, BAI Xibin, ZHANG Shifeng. Target Acquisition Probability of an Airborne Strapdown Missile at Hand-over Point[J]. Acta Armamentarii, 2025, 46(6): 240495-.

图/表 7

图1 导引头开机点捕获域示意图

Fig.1 Schematic diagram of seeker acquisition zone

图2 前置点攻击方式下的目标散布示意图

Fig.2 Target dispersion graph under pre-point attack mode

图3 导引头开机点散布椭球

Fig.3 Dispersion ellipsoid of seeker activation points

表1 导引头开机点散布标准差

Table 1 Dispersion standard deviations of seeker activation points

变量	统计结果	拟合结果	相对误差/%
σ_x₀/m	25.44	25.75	1.2
σ_y₀/m	4.81	4.47	7.6
σ_z₀/m	1.58	1.46	8.2
σ_φ/(°)	0.0530	0.0613	13.5
σ_ψ/(°)	0.0526	0.0498	5.6
σ_ε/(°)	0.8900	1.0650	16.4

表2 运动目标状态参数设置

Table 2 State parameter setting of the moving target

参数名称	数值
初始位置T₀/m	[2500,0,0]
航向角H_t/(°)	180
距离均方差σ_D/m	20
方位均方差σ_B/(°)	0.5
航向均方差σ_H/(°)	2
速度均方差σ_v/(m·s^-1)	2.5

图4 前置点射击时不同目标速度的视线角均方差

Fig.4 Mean square error of line-of-sight angles for different target speeds under pre-point attack mode

图5 当前点射击时不同目标速度的视线角均方差

Fig.5 Mean square error of line-of-sight angles for different target speeds under current point attack mode

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