Rigid-body rotations#

Free and torqued rigid bodies: the intermediate axis theorem (Dzhanibekov effect) for a torque-free top, rendered both abstractly (the SO(3) momentum sphere) and literally (a tumbling 3D body); a heavy symmetric top’s precession and nutation under gravity; Euler’s disk settling into a finite-time singularity; and a rattleback’s one-way spin reversal.

The intermediate axis theorem (Dzhanibekov effect)

The intermediate axis theorem (Dzhanibekov effect)

The heavy symmetric top: effective potential, precession and nutation

The heavy symmetric top: effective potential, precession and nutation

The Dzhanibekov effect, literally: a tumbling 3D rigid body

The Dzhanibekov effect, literally: a tumbling 3D rigid body

Euler’s Disk: a finite-time singularity on a tabletop

Euler's Disk: a finite-time singularity on a tabletop

The Rattleback: one-way spin reversal

The Rattleback: one-way spin reversal