Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity
Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity
Consider the motion of the coupled system, ๐ฎ, constituted by a (non-necessarily symmetric) top, โฌ, with an interior cavity, ๐, filled up with a Navier-Stokes liquid, โ. A particular steady-state motion [see formula in PDF] (say) of ๐ฎ, is when โ is at rest with respect to โฌ, and ๐ฎ, โฆ