I am trying to find the best way to determine whether a spherical shell would stabilize in a certain orientation when falling.(adsbygoogle = window.adsbygoogle || []).push({});

Assumptions I need to take into account:

The sphere is spinning with some random angualr velocity for each axis

The density of the shell is higher at the +x extreme and decreases until the density becomes uniform for the -x half of the shell. This density gradient can vary.

It seems like it should be simple, but I must be missing something. That's what happens when a mathematician pretends to be an engineer.

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# Non-Uniform Spinning Sphere Stabillity

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