Abstract: Building ballistic trajectory of ballistic missile with multiple-stage boosters and calculating ballistic missile’s position are pre-requisite for constructing ballistic missile early warning simulation system. The forces acting on the ballistic missile has been analyzed and a dynamics model describing the motion of ballistic missile which contains multiple-stage boosters has been addressed. The effect of three different Earth models on ballistic missile’s trajectory has been analyzed and the kinetic model of ballistic missile which contains multiple-stage boosters has been educed. A trajectory of ballistic missile which contains two-stage boosters has been simulated, the trajectory of jettisons of two-stage boosters also has been simulated. The effort of models and simulation has important significance for the research of tracking ballistic missile with multiple-stage boosters.

Key words: ballistic missile, multiple-stage boosters, modeling, computer simulation

摘要： 建立多级助推段弹道导弹飞行轨迹模型，并按仿真时间步长推算导弹的位置状态，是构建弹道导弹预警探测仿真系统的首要任务。对弹道导弹进行了受力分析，建立了包含多级助推段弹道导弹的动力学模型。详细分析了三种不同地球模型对弹道导弹飞行轨迹的影响，推导了包含多级助推段弹道导弹运动模型。仿真了两级助推段弹道导弹弹道，其中包含对第一级、第二级装燃料舱体飞行轨迹的仿真，分析了仿真结果。提出的建模仿真方法对研究多级助推段弹道导弹运动特性和跟踪问题有非常重要的意义。

关键词: 弹道导弹, 多级助推, 建模, 计算机仿真