0
2013
Impact Factor

    On the Orbital Stability of Pendulum-like Oscillations of a Heavy Rigid Body with a Fixed Point in the Bobylev – Steklov Case

    2021, Vol. 17, no. 4, pp.  453-464

    Author(s): Bardin B. S., Chekina E. A.

    The orbital stability of pendulum-like oscillations of a heavy rigid body with a fixed point in the Bobylev – Steklov case is investigated. In particular, a nonlinear study of the orbital stability is performed for the so-called case of degeneracy, where it is necessary to take into account terms of order six in the Hamiltonian expansion in a neighborhood of the unperturbed periodic orbit.
    Keywords: rigid body, rotations, oscillations, orbital stability, Hamiltonian system, local coordinates, normal form
    Citation: Bardin B. S., Chekina E. A., On the Orbital Stability of Pendulum-like Oscillations of a Heavy Rigid Body with a Fixed Point in the Bobylev – Steklov Case, Rus. J. Nonlin. Dyn., 2021, Vol. 17, no. 4, pp.  453-464


    Download File
    PDF, 410.28 Kb




    Creative Commons License
    This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License