Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 4 / 15E / d / Solution

With compatible signs,Thus as $t\to \infty$, ${\omega }_1$ and ${\omega }_3$ vanish while ${\omega }_2\to A$. The body approaches steady rotation about the intermediate principal axis; the full separatrix connects the two opposite intermediate-axis rotations.

Solved by gpt-5.6-sol high.