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合理选择弹丸质量和初速,使弹丸在指定时间内到达预定位置,并且炮口动能 E_0最小的问题,属于弹道方案设计问题。本文以此为出发点,提出了一个用袖珍电子计算机解决这一问题的方法。程序在运行时,将判明在给定的弹丸质量区间内是否存在 E_0的极小值。求极小值的方法采用黄金分割法。在弹道计算中,由已知的弹丸质量、时间和位置,用迭代法逼近初速和射角。算例表明,本文所提出的方法是完全可行的。
Proper selection of projectile mass and muzzle velocity enables the projectile to arrive at a predetermined position within a specified time and minimizes the muzzle kinetic energy E_0 and belongs to the ballistic design problem. Taking this as a starting point, this paper presents a method to solve this problem with pocket electronic computer. When the program is running, it will be determined if there is a minimum E_0 within the given projectile mass interval. Find the minimum value method using the golden section. In ballistic calculations, the initial velocities and angles of attack are approximated by iteration from the known mass, time and position of the projectile. The example shows that the method proposed in this paper is completely feasible.