I Help with translation of terminology concerning the spinning top

[vanhees71]

Has anybody a translation for the various cones describing the motion of the free symmetric top?

The German expressions are "Nutationskegel" (space-fixed cone via the precession of the body-fixed symmetry axis $\vec{e}_3'$) , and "Rastpolkegel" (space-fixed cone via the precession of the angular velocity $\vec{\omega}$ around the constant angular momentum), and "Gangpolkegel" (body-fixed cone via the precession of $\vec{\omega}$ around $\vec{e}_3'$) as nicely depicted in the German Wikipedia:

https://de.wikipedia.org/wiki/Euler-Kreisel#Beschreibung_der_Bewegung

Surprisingly, I couldn't find a similar figure nor the names of these cones in the English-speaking literature.

 

[vanhees71]

I've checked now the English translation of Greiner's Theoretical physics vol. 2. There he calls the Nutationskegel nutation cone, the Gangpolkegel pole cone, and the Rastpolkegel trace cone.