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Free nonlinear oscillations of a rotating solid in a central force field

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Literature Cited

  1. M. M. Vainberg and V. A. Trenogin, Theory of Branching of Solutions of Nonlinear Equations [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  2. V. I. Gulyaev, V. A. Bazhenov, E. A. Gotsulyak, E. S. Dekhtyaryuk, and P. P. Lizunov, Stability of Periodic Processes in Nonlinear Mechanical Systems [in Russian], L'vov University (1983).

  3. V. I. Gulyaev, P. P. Lizunov, and N. N. Prudenko, “Stability of nonlinear oscillations of a system of two bodies in a central force field,” Prikl. Mekh.,19, No. 9, 96–101 (1983).

    Google Scholar 

  4. V. I. Gulyaev, P. P. Lizunov, and N. N. Prudenko, “Nonlinear oscillations of a system of two bodies with respect to the mass center on an elliptic orbit,” Kosm. Issled.,22, No. 2, 165–170 (1984).

    Google Scholar 

  5. B. P. Demidovich, Lectures on the Mathematical Theory of Stability [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  6. S. Lefschetz, Geometric Theory of Differential Equations, Interscience, New York (1957).

    Google Scholar 

  7. V. A. Sarychev, Orientation Problems of Artificial Satellites [in Russian], Itogi Nauki i Tekhniki, VINITI, Moscow (1978). (Series Cosmic Space Research, Vol. 11)

    Google Scholar 

  8. V. V. Sazonov, “On periodic oscillations of a satellite-gyrostat with respect to the center of mass,” in: Stability of Motion [in Russian], Nauka, Novosibirsk (1985), pp. 211–217.

    Google Scholar 

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Structural Engineering Institute, Kiev. Translated from Prikladnaya Mekhanika, Vol. 22, No. 10, pp. 115–119, October, 1986.

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Gulyaev, V.I., Lizunov, P.P. & Saushev, V.A. Free nonlinear oscillations of a rotating solid in a central force field. Soviet Applied Mechanics 22, 1009–1013 (1986). https://doi.org/10.1007/BF01273685

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  • DOI: https://doi.org/10.1007/BF01273685

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