机动发射的弹道导弹飞行诸元的快速计算

A rapid method for flight program design of the ballistic missile launched on mobile platform

基于解析预报与数值寻优相结合的方法,本文研究机动发射的弹道导弹飞行诸元快速设计问题.首先,利用线性回归方法建立了导弹诸参数与发射信息之间的多项式拟合关系式,利用该式可以得到飞行方案诸参数迭代初值;然后,以弹道落点纵向偏差、横向偏差及弹道顶点高度偏差平方和极小为指标函数,采用Levenberg-Marquardt方法搜索诸参数精确解;最后,以民兵III弹道导弹为例,对所提方法进行了仿真验证,研究结果表明,该方法计算量少,适合已定参数的导弹大范围机动发射的快速计算,且在落点精度要求不高的情况下,可以用解析表达式的解作为弹道飞行方案诸元的值,对目标进行打击.

Combining analytical prediction and optimization of parameters, a rapid method for basic firing data of flight program of the ballistic missile launched on mobile platform is studied. First, the analytical expressions between the parameters about flight program and attack information are obtained by using polynomial function approximation, by which the initial value of the firing data can be calculated. Second, considering the parameters of flight program as variables and the least square of the placements aberration as the performance index, the Levenberg-Marquardt （L-M） Method is used to obtain the optimal values. Finally, as an example, the proposed method is provided to attacking targets with the LMG-30G. The simulation results show that, because of the less computational effort, the proposed method is suitable for the rapid design of the Big Wide Intratheater Mobility for the missile. When the precision of the placement is not highly demanded, the solution of analytical expressions can be used directly as the value of flight parameters to attack the target.