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本文探讨了炮兵射击演习安全区的确定问题,为研究方便,将安全区分为绝对安全区和相对安全区。弹道曲线模型从分析炮弹飞行轨迹出发,通过对飞行的炮弹进行受力分析,运用牛顿第二定律,用微分方程组建立了描述炮弹飞行轨迹的弹道曲线模型。之后,用数值计算的方法使用Matlab软件编程计算出给定发射角的弹道曲线相关参数,求得了炮弹的最远射程。通过弹道曲线模型中炮弹射程与发射角的关系,可求得炮弹发射角,再结合炮弹发射误差角上限,可求得炮弹落点范围。
This article explores the problem of determining the safe area of artillery firing maneuvers. For the convenience of research, the area of safety is divided into the absolute safe area and the relatively safe area. The trajectory curve model starts from the analysis of the trajectory of the projectile. Through the analysis of the force of the projectile and the Newton’s second law, the ballistic curve model describing the trajectory of the projectile is established by using the differential equation. After that, numerical calculation method was used to calculate the parameters of ballistic curve for a given launch angle by using Matlab software to calculate the farthest range of the projectile. Through the relationship between the range and the launch angle of the ballistic trajectory model, the launching angle of the projectile can be obtained. Combined with the upper limit of the launching error angle of the projectile, the falling range of the projectile can be obtained.