Axial Gyrostats, Canonical Cases
We now have seen the qualitative nature of the osculation vectors and the polhode families on the energy ellipsoid, for all body shapes. We now turn to the development of analytical solutions for the angular velocity components. In the present section, we confine ourselves to the special case of the axial gyrostat for which h1 = h2 = 0 , h3 > 0. It is convenient to dispose first of the special body shapes, as in the case of the osculation study. For the Sphere, the axial case is the only case, so the solution given for it completely disposes of that body shape.
KeywordsBody Shape Real Zero Suitable Procedure Algebraic Sign Canonical Case
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