Soviet Applied Mechanics

, Volume 10, Issue 8, pp 892–895 | Cite as

Investigation of stability of uniform rotation of a symmetric top filled with a liquid

  • A. Ya. Savchenko
  • A. O. Ignat'ev
Brief Communications


Uniform Rotation 
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Literature Cited

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    A. Yu. Ishlinskii and M. E. Temchenko, “Small oscillations of the vertical axis of a top having a cavity entirely filled with an ideal incompressible liquid,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 3 (1960).Google Scholar
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    P. A. Kuz'min, “Steady motions of a solid and their stability in a central gravitational field,” Proceedings of an Intercollegiate Conference on Applied Theory of Stability of Motion in Analytical Mechanics (Kazan', (1962) [in Russian], Kazan' (1964).Google Scholar
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    H. Lamb, Hydrodynamics, Dover (1932).Google Scholar
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    A. M. Lyapunov, Constant Helical Motions of a Solid in a Liquid [in Russian], Vol. 1, Izd-vo Akad. Nauk SSSR, Moscow (1954).Google Scholar
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    G. K. Pozharitskii, Construction of a Lyapunov function from the integrals of the equations of the perturbed motion,” Prikl. Matem. i Mekhan.,22, No. 2 (1958).Google Scholar
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    V. V. Rumyantsev, Stability of Steady Motions of Satellites [in Russian], VTs (Computer Center) Akad. Nauk SSSR, Moscow (1957).Google Scholar
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    S. L. Sobolev, “Motion of a symmetric top with a cavity filled with liquid,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 3 (1960).Google Scholar
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    N. G. Chetaev, Stability of Motion [in Russian], Gostekhteorizdat, Moscow-Leningrad (1946).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • A. Ya. Savchenko
  • A. O. Ignat'ev

There are no affiliations available

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