那么继续第一部分的第三点:
由此规范,我们有:
欧拉运动学方程:
\(\omega_{1} =\dot{\varphi}sin(\theta)sin(\psi)+\dot{\theta}cos(\psi)\) (1.2.1)
\(\omega_{2} =\dot{\varphi}sin(\theta)cos(\psi)-\dot{\theta}sin(\psi)\) (1.2.2)
\(\omega_{3} =\dot{\varphi}cos(\theta)+\dot{\psi}\)(1.2.3)
定点转动角动量:
\(\vec{L} = I_{1}\omega_{1}\vec{e_{1}}+I_{2}\omega_{2}\vec{e_{2}}+I_{3}\omega_{3}\vec{e_{3}}\)(1.3)
定点转动动能:
\(T = \frac{1}{2}(I_{1}\omega_{1}^{2}+I_{2}\omega_{2}^{2}+I_{3}\omega_{3}^{2})\)(1.4)
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