We study rest-to-rest reorientations of flexible spacecraft using momentum exchange devices. A new and concise form of the equations of motion for a rigid body containing a cluster of gimbaled momentum wheels is developed using the Euler-Newton approach. Special restrictions of the gimbaled momentum wheel equations yield equations of motion for the momentum wheel cluster and the control moment gyroscope cluster. A mathematical model of a free spacecraft with Euler-Bernoulli appendages is developed. Using the assumed modes method, a complete set of equations is developed which describes the dynamics of a spacecraft with flexible appendages and gimbaled momentum wheels. Special attention is paid to singularity problems in control moment gyro clusters. A control law based on the singular value decomposition is developed which avoids torque output commands in the nearly singular direction. The stationary platform maneuver, a maneuver along the set of equilibrium solutions of a zero angular velocity spacecraft, is extended to the control moment gyro cluster. The set of equilibria for a control moment gyro cluster is a unique surface in gimbal angle space. A control law which reorients the spacecraft while remaining close to this surface is developed using a Lyapunov method.


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    Title :

    Reorientations of Flexible Spacecraft Using Momentum Exchange Devices


    Contributors:
    K. A. Ford (author)

    Publication date :

    1997


    Size :

    148 pages


    Type of media :

    Report


    Type of material :

    No indication


    Language :

    English




    Flexible Spacecraft Reorientations Using Gimbaled Momentum Wheels

    Ford, Kevin A. / Hall, Christopher D. | Springer Verlag | 2001


    Flexible Spacecraft Reorientations Using Gimbaled Momentum Wheels

    Ford, Kevin A. / Hall, Christopher D. | Online Contents | 2001



    Flexible Spacecraft Reorientations Using Gimbaled Momentum Wheels (AAS 97-723)

    Ford, K. A. / Hall, C. D. / American Astronautical Society et al. | British Library Conference Proceedings | 1998


    Reorientations of Asymmetric Spacecraft Using Two or More Impulses

    Cochran, J. E. / Cheng, Y.-M. / Bigelow, S. et al. | British Library Conference Proceedings | 1995