Stability problem for pendulum-type motions of a rigid body in the Goryachev-Chaplygin case

Author:

Bardin B. S.

Publisher

Allerton Press

Subject

General Physics and Astronomy,Mechanics of Materials

Reference13 articles.

1. A. P. Markeev, “On the Identity Resonance in a Particular Case of the Problem of Stability of Periodic Motions of a Rigid Body,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 32–37 (2003) [Mech. Solids (Engl. Transl.)].

2. D. N. Goryachev, “On the Motion of a Heavy Rigid Body about a Fixed Point in the Case A = B = 4C,” Mat. Sb. Kruzhka Lyubitelei Mat. Nauk 21(3), 431–438 (1900).

3. S. A. Chaplygin, “A New Case of Rotation of a Heavy Rigid Body Supported at a Single Point,” Tr. Otd. Fiz. Nauk O-va Lyubitelei Estestvoznan. 10(2), 32–34 (1901).

4. G. V. Gorr, L. V. Kudryashova, and L. A. Stepanova, Classical Problems of Dynamics of Solids. Development and Modern State (Naukova Dumka, Kiev, 1978) [in Russian].

5. A. I. Doshkevich, Closede-Form Solutions of the Euler—Poisson Equations (Naukova Dumka, Kiev, 1992) [in Russian].

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