Help with translation of terminology concerning the spinning top

In summary, the conversation discusses the translation for the various cones that describe the motion of the free symmetric top. These include the "Nutationskegel" (space-fixed cone via precession of the body-fixed symmetry axis), "Rastpolkegel" (space-fixed cone via precession of angular velocity around constant angular momentum), and "Gangpolkegel" (body-fixed cone via precession of angular velocity around symmetry axis). These cones are illustrated in the German Wikipedia but are not commonly found in the English literature. However, in the English translation of Greiner's Theoretical physics vol. 2, they are referred to as nutation cone, pole cone, and trace cone, respectively.
  • #1
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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  • #2
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.
 

FAQ: Help with translation of terminology concerning the spinning top

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