航空火箭弹道数值解法和散布分析  

NUMERICAL SOLUTION & DISPERSION ANALYSIS FOR AIRBORNE ROCKET TRAJECTORY

作　　者：刘昌礼[1] 

机构地区：[1]空军工程学院

出　　处：《兵工学报》1991年第3期26-31,共6页Acta Armamentarii

摘　　要：本文研究航空火箭(简称航箭)弹道的数值解法和散布分析。先把航箭作为空间刚体,列出它的全运动方程组。为解决航箭弹道计算中精度和速度之间的矛盾,提出用函数逼近、Runge-Kutta和Hamming法相结合的计算方案。再用Monte-Carlo法计算和分析了航箭在随机扰动作用下的散布。最后以57-1航箭为实例,对它的理论弹道和射弹散布进行了数值计算,计算结果令人满意。Numerical solution and dispersion analysis for airborne rocket trajectory are studied. With the airborne rocket taken as a rigid body, the whole set of equations of motion for the six degrees of freedom are presented, involving factors of thrust malalignment, dynamie imbalance and initial disturbance. In order to overcome difficulties arising from the contradictory requirements on accuracy and speed of computation for trajectory data, the paper proposes a scheme that combines functional approximation, Runge-Kutta and Hamming methods. Monte-Carlo statistical simulation is then used to calculate and analyse the dispersion of airborne rocket under the action of random perturbations. Finally, numerical examples of theoretical trajectory and rocket dispersion are given for a certain airborne rocket. Results from computer simulation turn out to be quite satisfactory.

关 键 词：火箭 弹道 数值解法 

分 类 号：TJ013[兵器科学与技术—兵器发射理论与技术]