Abstract This paper addresses a feed-forward optimal control problem for one rigid body to approach to and align with another arbitrarily rotating rigid body, with an application to the satellite rendezvous problem. In particular, we focus on the satellite rendezvous strategy of finding an optimal trajectory, and the required thrust force profiles, which will guide the chasing spacecraft to approach the tumbling satellite such that the two vehicles will eventually have no relative rotation and thus a subsequent docking or capture operation can be safely performed with a normal docking or capture mechanism. Our approach is to model the system using rigid-body dynamics and apply Pontryagin’s Maximum Principle for the optimal control. A planar problem is presented as a case study, in which together with the Maximum Principle, the Lie algebras associated with the system are used to examine the existence of singular extremals for the time-optimal control problem. Also, optimal trajectories and the corresponding set of control force/torque profiles are numerically generated for the time/fuel-consumption optimal control problem.


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    Titel :

    Optimal approach to and alignment with a rotating rigid body for capture


    Beteiligte:
    Ma, Zhanhua (Autor:in) / Ma, Ou (Autor:in) / Shashikanth, Banavara N. (Autor:in)


    Erscheinungsdatum :

    2007




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch



    Klassifikation :

    BKL:    55.60 Raumfahrttechnik
    Lokalklassifikation TIB:    770/7040



    Optimal approach to and alignment with a rotating rigid body for capture

    Ma, Zhanhua / Ma, Ou / Shashikanth, Banavara N. | Springer Verlag | 2007



    Optimal rigid-body motions

    CLIFF, EUGENE M. / LUTZE, FREDERICK H. / CHOWDHRY, RAJ S. | AIAA | 1991


    On optimal rigid body motions

    CLIFF, EUGENE / LUTZE, FREDERICK | AIAA | 1989