Abstract The paper considers planar motion of a three-body tethered system whose center of mass moves in a circular orbit around the Earth. The equilibrium configurations of the system and their stability are examined and contrasted with those of the classical circular restricted three-body problem. It is observed that there are four classes of equilibrium configurations of tethered three-body systems: in two of them the bodies are collinear, while in the other two, the bodies lie in a triangular configuration. Analysis of the stability of these equilibrium configurations shows that the triangular configurations are unstable, while one of the collinear configurations (the one along the local vertical) is stable. An integral of motion is obtained, which turns out to be the Hamiltonian of the system per unit mass. The zero-velocity curves based on this Hamiltonian are presented.


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    Title :

    Equilibrium Configurations of Tethered Three-Body Systems and Their Stability


    Contributors:


    Publication date :

    2002




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.60 Raumfahrttechnik
    Local classification TIB:    770/7040





    Equilibrium Configurations of Tethered Three-Body Systems and Their Stability (AAS 01-191)

    Misra, A. K. / AAS / AIAA | British Library Conference Proceedings | 2001


    Equilibrium Configurations of Tethered Three-Body Systems and Their Stability (AAS 01-191)

    Misra, A. K. / American Astronautical Society | British Library Conference Proceedings | 2001


    Equilibrium Configurations of a Four-Body Tethered System

    Annelisie Corrêa / Gerard Gómez | AIAA | 2006