General Equilibria of Gravitationally Stabilized Gyrostats

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


In this lecture we consider eqyilibria for Case 4. where neither J1 = 0 nor J3 = 0. The problem of finding these equilibria can be approached in two different ways:
  1. 1.

    One can look for all orentations of a given body which there exists a relative angular momentum vector that makes the orientation an equilibrium.

  2. 2.

    Or, one can assume as given a body with a spec ified relative angular momentum vector and look for all possible equilibrium orientations.



Principal Axis General Equilibrium Rotation Matrix Synthesis Problem Orthonormality Condition 
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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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