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

  • Presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature
  • Contains both the basic foundations of the rigid body dynamics and of the asymptotic method of averaging
  • Rigorous approach based on the averaging procedure which is applicable to bodies with arbitrary ellipsoids of inertia

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxxviii
  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

About this book

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.

Authors and Affiliations

  • 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

About the authors

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.

Bibliographic Information

  • Book Title: Evolution of Motions of a Rigid Body About its Center of Mass

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

  • DOI: https://doi.org/10.1007/978-3-319-53928-7

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-53927-0Published: 27 April 2017

  • Softcover ISBN: 978-3-319-85278-2Published: 09 May 2018

  • eBook ISBN: 978-3-319-53928-7Published: 20 April 2017

  • Edition Number: 1

  • Number of Pages: XXXVIII, 241

  • Number of Illustrations: 52 b/w illustrations

  • Topics: Aerospace Technology and Astronautics, Mathematical Physics, Classical Mechanics

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
This title has not yet been released. You may pre-order it now and we will ship your order when it is published on 19 May 2017.
  • Durable hardcover edition
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access