\dot\omega = \{\psi,\omega \}, \quad \Delta \psi = \omega

\dot W = [P,W], \quad \Delta_N P = W

W,P \in \mathfrak{su}(N)

azimuth

elevation

azimuth

elevation

azimuth

elevation

- How exactly is Zeitlin's model related to Euler?

- How accurate is it?

- Does it capture the right dynamics?

- Can it give new insights?

at fine scales: not at all!

...but no method is!

W = W_s + W_r \qquad (\omega = \omega_s + \omega_r)

W_s

W_r

projection onto stabilizer of \(P\)