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本文讨论垂线偏差对弹道导弹命中精度的影响。首先,通过导弹主动段飞行中垂线偏差影响的分析,获得关机点条件的摄动。然后,通过对脱靶系数的分析,得出结论:必须用考虑地球旋转的关机点参数来计算脱靶系数。文章导出利用不考虑地球旋转的关机点参数求取考虑地球旋转关机点参数的解析表达式。利用这个解析结果,可以计算在任意发射条件下的关机点参数,而无需去积分微分方程组,用这些关机点参数即可计算脱靶系数。就本文提供的方法与直接积分弹道方程的计算结果而言,脱靶量的相对误差小于2%,绝对误差约为30米。最后,本文给出全程制导下计算垂线偏差的脱靶量的表达式,并对惯性制导修正脱靶量的方法进行了讨论。
This article discusses the influence of vertical deviation on ballistic missile hit accuracy. First, through the analysis of the influence of the vertical deviation in the active flight of the missile, the perturbation of the shutdown condition is obtained. Then, by analyzing the off-target coefficients, it is concluded that off-target coefficients must be calculated using the off-point parameters that take earth rotation into account. The article derives an analytical expression that takes into account parameters of the earth’s rotation shut-down point using the parameters of the shut-down point that do not consider the rotation of the earth. Using this analytical result, it is possible to calculate the parameters of the shut-down point under any emission condition without having to integrate the system of differential equations, and to calculate the off-target coefficient using these parameters of the shutdown point. For the calculation results of this method and the direct integral ballistic equation, the relative error of miss distance is less than 2% and the absolute error is about 30 meters. Finally, this paper gives the expression of the miss distance for calculating the vertical deviation under full guidance, and discusses the method of inertial guidance to correct miss distance.