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    Libration Points Inside a Spherical Cavity of a Uniformly Rotating Gravitating Ball

    2021, Vol. 17, no. 4, pp.  413-427

    Author(s): Burov A. A., Nikonov V. I.

    The problem of the existence and stability of relative equilibria (libration points) of a uniformly rotating gravitating body, which is a homogeneous ball with a spherical cavity, is considered. It is assumed that the rotation is carried out around an axis perpendicular to the axis of symmetry of the body and passing through its center of mass. The libration points located inside the cavity are investigated. Families of both isolated and nonisolated relative equilibria are found. Their stability and bifurcations are investigated. Realms of possible motion are constructed.
    Keywords: celestial bodies with cavities, libration points, relative equilibria, motion in a noncentral gravitational field, gravitating dumbbell
    Citation: Burov A. A., Nikonov V. I., Libration Points Inside a Spherical Cavity of a Uniformly Rotating Gravitating Ball, Rus. J. Nonlin. Dyn., 2021, Vol. 17, no. 4, pp.  413-427
    DOI:10.20537/nd210404


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