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