基于摄动理论的动态弹道偏差阈值修正方法

基于摄动落点偏差预测的弹道修正方法具有落点偏差计算精度高,弹上计算量小等优点。研究了基于该理论在二维弹道修正应用中相关的系列问题。基于多元函数的泰勒级数展开理论,推导了完整的摄动落点偏差预测理论模型。基于摄动偏差理论提出了一种修正步长自适应的射角诸元快速求解方法,一般循环解算弹道模型不超过3次即可得到落点误差不超过1 m的射角诸元。基于不同弹道位置上平均弹道误差,给出了偏导数求解中弹道偏差设置方法。提出了一种动态弹道偏差阈值修正方法,选用该方法进行弹道修正,平均弹道修正次数减少29.1%,而弹丸落点CEP增大不明显。

Dynamic Threshold Correction Method of Trajectory DeviationBased on Perturbation Theory

The trajectory correction method based on the perturbation theory of impact-point prediction has the advantages of high accuracy and small amount of calculation. A series of problems related to the application of the perturbation theory to the impact-point prediction in the two-dimensional trajectory correction were studied. Based on the Taylor series expansion theory of multivariate functions,a complete theoretical model for impact-point prediction was derived. Based on the perturbation deviation theory,a modified step-size adaptive method was proposed to solve the shooting angle data quickly. Generally,the firing angle data can be obtained by solving the ballistic model in a cycle no more than 3 times,whose fall-point error is no more than 1 m. Based on the average trajectory error of different trajectory positions,the setting method of trajectory deviation in partial derivative solution was given. The proposed method of dynamic trajectory deviation correction threshold can reduce 29.1% of trajectory correction times without increasing CEP.