铅球飞行轨迹方程的微分解及应用

The Differential Solution to the Flying Locus Equation of the Shot and Its Application

本文根据运动学原理建立了铅球轨迹方程，考虑铅球落点位置，利用微积分和三角函数理论求出手角极值和最大飞进距离，得出了最佳出手角、最大飞进距离与出手点高度初速度之间简单表达式，并通过计算制成了最佳出手角、最大飞进距离表。

This paper establishes a locus equation of the shot according to kinematical principles.By using differential and integral calculus and trigonometric func-tion,we have found the extreme value of the angles of delivery and the best fly-ing distances.with the falling points of the shot considcred.Thus a simple expression showing the relationships among the best angle of delivery,the best flying distance,the height of delivery point and its initial velocity can be attained and a diagram can be made by calculating, showing the best angle of delivery and the best flying distance.