AbstractThe gravitationally coupled orbit–attitude dynamics of a rigid body in a J2 gravity field is a generalization of the traditional point-mass J2 problem to take into account the gravitational orbit–attitude coupling of the considered body. Linear and nonlinear stability of nonclassical relative equilibria in the coupled orbit–attitude dynamics are studied with geometric mechanics in the present paper. Conditions of stability are obtained through the linear system matrix and projected Hessian matrix by using the energy–Casimir method. Linear and nonlinear stability regions are plotted in a wide range of system parameters. It is found that the stability regions are similar to those of classical relative equilibria while, at the same time, some differences do exist. For example, in some cases, the linear stability region contains not only the two regions that are analogues of the Lagrange region and DeBra–Delp region, but also a small irregular region in the third quadrant. Same as the case of classical relative equilibria, the nonlinear stability region is the subset of the linear stability region in the first quadrant, which is the analogue of the Lagrange region.


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    Title :

    Stability of Nonclassical Relative Equilibria of a Rigid Body in a J2 Gravity Field


    Contributors:

    Published in:

    Publication date :

    2016




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.50 Luftfahrzeugtechnik / 51.40 Werkstoffe für bestimmte Anwendungsgebiete / 55.60 Raumfahrttechnik
    Local classification TIB:    770/7040





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