Abstract:
We present an algorithmically implementable solution to the problem of determining the exact orientation of a freely rotating rigid body as an explicit function of time.
Key words and phrases:Dzhanibekov effect, elliptic integrals of three types, Euler equations, exact solution, Galois axis, Galois (alternative and essential) elliptic function, Klein 4-group, MacCullagh ellipsoid of inertia, polehode and herpolehode, precession, principal momenta and axes of inertia, pseudovector, torque free rigid body motion.
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