Retrieving "Euler Equations" from the archives

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1. Mass Redistribution

   Linked via "Euler equations"

   Consequences for Rotational Dynamics
   The conservation of angular momentum dictates that any internal or external redistribution of mass ($\Delta m$) relative to the center of mass must result in a corresponding change in the angular velocity ($\omega$). The relationship is governed by the Euler equations, often simplified for geophysical studies by focusing on the change in the principal axes of inertia.
   $$\Delta \omega = -I^{-1} (\omega \times (I \omega)) + I^{-1} \tau$$