Axial Gyrostats, Canonical Cases

  • Robert E. Roberson
  • Pierre Y. Willems
  • Jens Wittenburg
Part of the International Centre for Mechanical Sciences book series (CISM, volume 102)


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.


Body Shape Real Zero Suitable Procedure Algebraic Sign Canonical Case 
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Copyright information

© Springer-Verlag Wien 1971

Authors and Affiliations

  • Robert E. Roberson
    • 1
  • Pierre Y. Willems
    • 2
  • Jens Wittenburg
    • 3
  1. 1.Departement of Aerospace and Mechanical Engineering SciencesUniversity of CaliforniaSan DiegoUSA
  2. 2.Institut de MécaniqueUniversité de LouvainBelgium
  3. 3.Lehrstuhl und Institut für MechanikTechnische Hochschule HannoverGermany

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