Abstract We use a noncanonical Hamiltonian approach to study the equilibrium attitudes of a rigid satellite with N rotors in a central gravitational field. The relative equilibria of this system of equations represent steady motions of the body as seen in the body frame, and correspond to stationary points of the Hamiltonian constrained by Casimir functions. This approach leads to an algorithm for computing the equilibria, and simultaneously providing direct stability information, since the calculations required to solve the constrained minimization problem are also involved in computing the positive definiteness of the constrained Hamiltonian for use as a Lyapunov function.


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    Title :

    Hamiltonian mechanics and relative equilibria of orbiting gyrostats


    Contributors:

    Published in:

    Publication date :

    2007-03-01


    Size :

    13 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Hamiltonian mechanics and relative equilibria of orbiting gyrostats

    Hall, Christopher D. / Beck, Jeffrey A. | Online Contents | 2007


    Hamiltonian Mechanics and Relative Equilibria of Orbiting Gyrostats

    Hall, Christopher D. | Online Contents | 2007


    Equilibria of orbiting gyrostats

    Roberson, R.E. | Engineering Index Backfile | 1968


    Equilibria of orbiting gyrostats.

    Roberson, R. E. | NTRS | 1968


    Relative Equilibria of Orbiting Gyrostats (AAS 99-459)

    Hall, C. D. / Beck, J. A. / American Astronautical Society et al. | British Library Conference Proceedings | 2000