Undergrad Help with translation of terminology concerning the spinning top

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The discussion focuses on the translation of specific terminology related to the motion of a free symmetric spinning top, particularly the cones that describe this motion. The German terms "Nutationskegel," "Rastpolkegel," and "Gangpolkegel" correspond to the nutation cone, trace cone, and pole cone in English, respectively. Participants note the lack of equivalent terminology and visual representations in English literature compared to German sources. The English translation of Greiner's Theoretical Physics volume 2 provides some of these translations but is not comprehensive. Overall, there is a need for clearer terminology and resources in English regarding the dynamics of spinning tops.
vanhees71
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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
Kreiselkegel.png

Surprisingly, I couldn't find a similar figure nor the names of these cones in the English-speaking literature.
 
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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.
 
Topic about reference frames, center of rotation, postion of origin etc Comoving ref. frame is frame that is attached to moving object, does that mean, in that frame translation and rotation of object is zero, because origin and axes(x,y,z) are fixed to object? Is it same if you place origin of frame at object center of mass or at object tail? What type of comoving frame exist? What is lab frame? If we talk about center of rotation do we always need to specified from what frame we observe?

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