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    Coplanar Libration Points in the Generalized Restricted Circular Problem of Three Bodies

    2011, Vol. 7, No. 3, pp.  569-576

    Author(s): Beletsky V. V., Rodnikov A. V.

    A particle steady motions in vicinity of dynamically symmetric precessing rigid body are studied in assumption that the body gravitational field is modeled as two centers gravitational field. The particle motion equations are written as two-parametric generalization for equations of Restricted Circular Problem of Three Bodies (RCP3B). Existence and number of the particle relative equilibria in the plane passing through the body axis of dynamical symmetry and through the vector of angular momentum are established. These equilibria called Coplanar Libration Points (CLP) are analogs of Eulerian Libration Points in RCP3B. Stability of CLP is studied for the first approximation in assumption that attracting centers have equal masses.
    Keywords: problem of three bodies, libration points, stability, steady motions, asteroid
    Citation: Beletsky V. V., Rodnikov A. V., Coplanar Libration Points in the Generalized Restricted Circular Problem of Three Bodies, Rus. J. Nonlin. Dyn., 2011, Vol. 7, No. 3, pp.  569-576
    DOI:10.20537/nd1103012


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