火炮控制区域问题的运动学分析与应用

KINEMATIC ANALYSIS AND APPLICATION OF THE ARTILLERY CONTROL AREA PROBLEM

火炮发射的炮弹,如果忽略阻力,都是作抛体运动后攻击到目标。发射速率固定,以各种发射角发射的炮弹在空间的覆盖范围形成了火炮的控制区域。文章首先用量纲分析方法得到炮弹轨迹方程的无量纲形式,随后根据曲线簇包络线的定义推导出火炮弹道曲线簇的包络线方程,得到了真空弹道中的火炮控制区域。进而利用包络线方程求解出火炮间接瞄准射击时发射角的范围,并分析了火炮面向山坡或洼地射击时的最大射程与发射角。

When the resistance of the air is ignored,the cannonball launched by a artillery attacks the targed after projectile movement.The control area of artillery is the coverage of the cannonball fired by various lunch angles and fixed emmission rate.The emission rate of the projectile trajectory equation is transformed to dimensionless form.Then the envelope equation of trajectory cluster is deduced by the defination of curve cluster envelope,and the artillery control area in vacuum trajectory is obtained.Finally,the range of firing angle is solved by envelope equation,and the mountain shooting is analyzed.