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=== Unstable rotation around the second principal axis ===
Now apply the same analysis to the axis with moment of inertia <math>I_2.</math> This time <math>\dot{\omega}_{2}</math> is very small. Therefore, the time dependence of <math>~\omega_2</math> may be neglected.
Now, differentiating equation (1) and substituting <math>\dot{\omega}_3</math> from equation (3),
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