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Intermediate axis theorem (Tennis racket theorem)
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[QUOTE="TSny, post: 6833331, member: 229090"] ok ok. It appears to me that you are still defining ##\Omega_2## as ##\frac{(I_2-I_1)\omega_1}{I_3}##. So, ##\Omega_2## is a negative number. That's alright, but then you need to keep in mind that ##\sqrt{\Omega_1 \Omega_2}## is imaginary. ok. The exponents on ##e## are imaginary. I think it would be nicer to rewrite this without imaginary quantities. You could use [URL='https://brilliant.org/wiki/eulers-formula/']Euler's formula[/URL]. Or, you could go back and define ##\Omega_2## such that it is positive and rederive the differential equation for ##\ddot \omega_2##. Then, you don't run into imaginary quantities. [/QUOTE]
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Intermediate axis theorem (Tennis racket theorem)
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