空竹抛体运动的数值解法和动画模拟

A Numerical Solution for Motion of a Rotating Projectile and Its Animation Simulation

研究了马格努斯效应下的旋转抛体运动,考虑了空气阻力作用于质心上的情况。对于不同初速度和抛出角度,基于Mathematica的计算功能计算得到运动方程的数值解,然后利用软件的可视化功能画出运动轨迹曲线。在Mathematica高版本中还通过控件改变参数,得到动画模拟。使学生更加深入、直观地模拟空竹抛体的运动,同时提高了学习的主动性和创造性。

We studied the rotating projectile motion under the Magnus effect and considered the effect of the air resistance against the direction of movement. For different initial speeds and throwing angles,the numerical solutions of the motion equation are obtained based on the calculation function of Mathematica. Then we draw the trajectory curves based on the visual function of Mathematica. By changing the control parameter,the animation simulation is obtained. This can make students more deeply and directly simulate the diabolo projectile motion,at the same time,improve the learning initiative and creativity.