弹丸空中弹道包络线的数值解析算法
Numerical-analytical Algorithm for Constructing the Envelope of the Projectile Trajectories in Midair
摘要:
对一个经典的质点(抛射体)与视界成一定角度运动的问题进行了讨论。考虑了空气阻力,并假定阻力系数为常数。分析方法主要用于调查。简单的解析公式用于构造质点轨迹族的包络。应用包线方程确定最大航程。棒球的运动作为一个例子。
英文摘要:
A classic problem of the motion of a point mass (projectile) thrown at an angle to the horizon is reviewed. The air drag force is taken into account with the drag factor assumed to be constant. An analytic approach is mainly used for the investigation. Simple analytical formulas are used for the constructing the envelope of the family of the point mass trajectories. The equation of envelope is applied for the determination of the maximum range of flight. The motion of a baseball is presented as an example.
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