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利用数值积分法解球转子的运动方程,不仅可以计算出章动角θ和时间的关系,从而得到球转子解除隔离的时间,而且可以提供球转子运动的各种角度、角速度和角加速度的变化则律。通过所要积分的微分方程式便可分析各因素对转子运动的影响。数值积分法由于积分过程都详细写出,便于检查计算中的错误。利用电子计算机计算虽然比较简便,但目前我国电子计算机的应用还不普遍,而台式电子计算器几乎各单位都有,所以利用数值积分法解球转子的运动方程有它一定的意义。
Using the numerical integral method to solve the equations of motion of the ball rotor can not only calculate the relationship between the nutation angle θ and the time but also obtain the time for the ball rotor to release and isolate and also provide the change of various angles, angular velocities and angular accelerations of the ball rotor motion Then the law. By the integral differential equation can be analyzed for the impact of various factors on the rotor. Numerical integration method due to the integral process are written in detail, easy to check the calculation of the error. Although the use of electronic computer calculation is relatively simple, but at present the application of electronic computer in our country is not universal, and the desktop electronic calculator has almost all units, so using the numerical integral method to solve the ball rotor equation of motion has its certain significance.