This paper is devoted to stabilizing motions near a special type of equilibrium point of contact binary asteroids by Hamiltonian structure-preserving control. Aiming at noncollinear equilibrium points of the asteroid 1996 HW1, a Hamiltonian structure-preserving controller is built up using stable and unstable manifolds. Compared with traditional Hamiltonian structure-preserving controllers, it is capable of stabilizing the motion near a special kind of equilibrium point only using stable or unstable manifolds. The analytical solution of controlled motions is approximated by a nonlinear series using the method of variation of parameters. An optimization strategy is proposed including the numerical optimization of control gains by maximum-likelihood and the global optimization of initial deviation analytically. To achieve collision avoidance, the concept of an artificial potential function is introduced to the controller, which still has the capability to change equilibrium points' topological type to elliptic without breaking the system's Hamiltonian structure.


    Access

    Access via TIB

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Bounded Motions near Contact Binary Asteroids by Hamiltonian Structure-Preserving Control


    Contributors:


    Publication date :

    2017




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.54 Flugführung
    Local classification TIB:    770/7040





    Motions of two tethered asteroids

    Vil’ke, V. G. / Chumachenko, E. N. / Dunham, D. W. et al. | Online Contents | 2013


    Motions of two tethered asteroids

    Vil’ke, V. G. / Chumachenko, E. N. / Dunham, D. W. et al. | Springer Verlag | 2013


    Binary Asteroids: 1999 KW4

    Scheeres, Daniel J. | Springer Verlag | 2012