I Help with translation of terminology concerning the spinning top

AI Thread Summary
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
Science Advisor
Education Advisor
Insights Author
Messages
24,488
Reaction score
15,057
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.
 
Physics news on Phys.org
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.
 
Thread 'Gauss' law seems to imply instantaneous electric field'

Thread 'Gauss' law seems to imply instantaneous electric field'

Imagine a charged sphere at the origin connected through an open switch to a vertical grounded wire. We wish to find an expression for the horizontal component of the electric field at a distance ##\mathbf{r}## from the sphere as it discharges. By using the Lorenz gauge condition: $$\nabla \cdot \mathbf{A} + \frac{1}{c^2}\frac{\partial \phi}{\partial t}=0\tag{1}$$ we find the following retarded solutions to the Maxwell equations If we assume that...
View full post »

Thread 'Off resonance driving of a MW/RF cavity'

Hello! Let's say I have a cavity resonant at 10 GHz with a Q factor of 1000. Given the Lorentzian shape of the cavity, I can also drive the cavity at, say 100 MHz. Of course the response will be very very weak, but non-zero given that the Loretzian shape never really reaches zero. I am trying to understand how are the magnetic and electric field distributions of the field at 100 MHz relative to the ones at 10 GHz? In particular, if inside the cavity I have some structure, such as 2 plates...
View full post »

Similar threads

B Clashing approximations for this precession problem
Replies
5
Views
2K
I Where do these time derivatives of Pauli matrices come from?
Replies
4
Views
2K
I Local mechanism for nonlocal anticorrelations inside spin theory
2
Replies
74
Views
4K
Precession of Rotating Rigid Body from Two Different Frames
Replies
2
Views
2K
Puzzling precession of the torque-free symmetric top
Replies
13
Views
5K
An axis-symmetric satellite is freely spinning in the space.
Replies
1
Views
2K
Spin-1 particle states as seen by different observers: Wigner rotation
Replies
5
Views
3K
I Help me resolve this apparent paradox
Replies
20
Views
2K
Physics of Billiard: Understanding Angular Position & Rotation
Replies
4
Views
2K
What is the Definition and Summary of Angular Momentum?
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top