Evolution of Motions of a Rigid Body About its Center of Mass

1. Front Matter

   Pages i-xxxviii

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2. The Foundations of Dynamics of a Rigid Body with a Fixed Point

   • Felix L. Chernousko, Leonid D. Akulenko, Dmytro D. Leshchenko

   Pages 1-12

3. Motion of a Rigid Body by Inertia. Euler’s Case

   • Felix L. Chernousko, Leonid D. Akulenko, Dmytro D. Leshchenko

   Pages 13-25

4. Lagrange’s Case

   • Felix L. Chernousko, Leonid D. Akulenko, Dmytro D. Leshchenko

   Pages 27-40

5. Equations of Perturbed Motion of a Rigid Body About Its Center of Mass

   • Felix L. Chernousko, Leonid D. Akulenko, Dmytro D. Leshchenko

   Pages 41-72

6. Perturbation Torques Acting upon a Rigid Body

   • Felix L. Chernousko, Leonid D. Akulenko, Dmytro D. Leshchenko

   Pages 73-105

7. Motion of a Satellite About Its Center of Mass Under the Action of Gravitational Torque

   • Felix L. Chernousko, Leonid D. Akulenko, Dmytro D. Leshchenko

   Pages 107-137

8. Motion of a Rigid Body with a Cavity Filled with a Viscous Fluid

   • Felix L. Chernousko, Leonid D. Akulenko, Dmytro D. Leshchenko

   Pages 139-163

9. Evolution of Rotations of a Rigid Body in a Medium

   • Felix L. Chernousko, Leonid D. Akulenko, Dmytro D. Leshchenko

   Pages 165-189

10. Motion of a Rigid Body with Internal Degrees of Freedom

    • Felix L. Chernousko, Leonid D. Akulenko, Dmytro D. Leshchenko

    Pages 191-203

11. Influence of the Torque Due to the Solar Pressure upon the Motion of a Sun Satellite Relative to Its Center of Mass

    • Felix L. Chernousko, Leonid D. Akulenko, Dmytro D. Leshchenko

    Pages 205-225

12. Perturbed Motions of a Rigid Body Close to Lagrange’s Case

    • Felix L. Chernousko, Leonid D. Akulenko, Dmytro D. Leshchenko

    Pages 227-241

The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature. It contains both the basic foundations of the rigid body dynamics and of the asymptotic method of averaging. The rigorous approach based on the averaging procedure is applicable to bodies with arbitrary ellipsoids of inertia. Action of various perturbation torques, both external (gravitational, aerodynamical, solar pressure) and internal (due to viscous fluid in tanks, elastic and visco-elastic properties of a body) is considered in detail. The book can be used by researchers, engineers and students working in attitude dynamics of spacecraft.

• analytical dynamics
• nonlinear oscillation
• dynamics of spacecraft
• attidue dynamics of rigid bodies
• dynamics of angular motion

• Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

  Felix L. Chernousko, Leonid D. Akulenko

• Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine

  Dmytro D. Leshchenko

Professor Felix L. Chernousko is Principal Researcher of the Institute for Problems in Mechanics of the Russian Academy of Sciences in Moscow. He graduated from the Moscow Institute of Physics and Technology. His research covers various areas of mechanics, control theory, robotics, and applied mathematics.

Leonid D. Akulenko is Principal Researcher of the Institute for Problems in Mechanics of the Russian Academy of Sciences in Moscow, He graduated from the Department of Physics of the Moscow State University. His research covers various fields of applied mathematics, control theory, mechanics, mathematical physics and theory of oscillations.

Dmytro D. Leshchenko is the Professor and Head of the Chair of Theoretical Mechanics in Odessa State Academy of Civil Engineering and Architecture, Ukraine. His research covers theoretical mechanics, dynamics of a rigid body, optimal braking of rotations of a rigid body.