On the orbital stability of the motion of a rigid body in the case of Bobylev

On the orbital stability of the motion of a rigid body in the case of Bobylev–Steklov

Published:2015-02-07 Issue:3 Volume:80 Page:1173-1185
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Yehia H. M.,Hassan S. Z.,Shaheen M. E.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s11071-015-1934-3.pdf

Reference42 articles.

1. Kovalevskaya, S.: Sur le problėme de la rotation d’un corps solide autour d’un point fixe. Acta Math. 12(2), 177–232 (1889)

2. Leimanis, E.: The General Problem of Motion of Coupled Rigid Bodies About a Fixed Point. Springer, Berlin (1965)

3. Gorr, G.V., Kudryashova, V., Stepanova, L.V.: Classical Problems of Motion of a Rigid Body. Evolution and Contemporary State. Kiev, Naukova Dumka (1978) (in Russian)

4. Grammel, R.: Der Kreisel Seine Theorie und Seine Anwendungen. Springer, Berlin (1950)

5. Rumyantsev, V.V.: Stability of permanent rotations of a heavy rigid body. Prikl. Math. Mech. 20(1), 51–66 (1956)

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