Evolution of motions of a rigid body about its center of mass. (2017)

• Record Type: Book
• Further Information: Note: Felix L. Chernousko, Leonid D. Akulenko, Dmytro D. Leshchenko.
• Authors: Chernousʹko, F. L (Feliks Leonidovich); Akulenko, L. D (Leonid Denisovich); Leshchenko, Dmytro D
• Contents: Preface; Survey of Literature; References; About this Book; Contents; Chapter 1: The Foundations of Dynamics of a Rigid Body with a Fixed Point; 1.1 Orientation of a Body: The Euler Angles; 1.2 Geometry of Mass: Moments of Inertia; 1.3 Theorem of Change of Angular Momentum; 1.4 Dynamic Eulerś Equations; 1.5 Kinematic Eulerś Equations: Direction Cosines; 1.6 Equations of Motion of a Heavy Rigid Body About a Fixed Point; References; Chapter 2: Motion of a Rigid Body by Inertia. Eulerś Case; 2.1 First Integrals; 2.2 Basic Formulas for the Jacobian Elliptic Functions. 2.3 Integration of Dynamic Eulerś Equations: Analysis of the Motion2.4 Particular Cases (Regular Precession, Permanent Rotations); References; Chapter 3: Lagrangeś Case; 3.1 Integration of the Equations of Motion and Analysis of Motion; 3.2 Regular Precession; 3.3 Fast Spinning Top; References; Chapter 4: Equations of Perturbed Motion of a Rigid Body About Its Center of Mass; 4.1 The Concept of a Perturbed Motion; 4.2 Basic Concepts of the Averaging Method: Systems in a Standard Form and Systems with Fast Rotating Phase; 4.3 Systems Containing Slow and Fast Motions. 4.4 Higher-Order Averaging in Systems with Fast and Slow Phases4.5 Equations of Perturbed Motion of a Rigid Body Close to Eulerś Case; 4.6 Equations of Perturbed Motion of a Satellite About Its Center of Mass; 4.7 Procedure of Averaging for a Body with Moments of Inertia Close to One Another; 4.8 Equations of Perturbed Rotational Motion of a Rigid Body Close to Lagrangeś Case; 4.8.1 General Case; 4.8.2 The Case Where the Projections of the Perturbation Torque Vector Are of Different Orders of Smallness; 4.8.3 Perturbation Torques Are Small Compared to the Restoring Ones; References. Chapter 5: Perturbation Torques Acting upon a Rigid Body5.1 Gravitational Torques Acting upon a Satellite; 5.2 Rigid Body in a Resistant Medium; 5.3 Rigid Body with a Cavity Filled with the Fluid of High Viscosity; 5.4 Case of Moving Masses Connected to the Body by Elastic Couplings with Viscous Friction; 5.5 Body with Elastic and Dissipative Elements; 5.6 Viscoelastic Solid Body; 5.7 Influence of a Moving Mass Connected to the Body by an Elastic Coupling with Quadratic Friction; 5.8 Torque Due to the Solar Pressure; References. Chapter 6: Motion of a Satellite About Its Center of Mass Under the Action of Gravitational Torque6.1 Motion of a Triaxial Satellite with Moments of Inertia Close to One Another; 6.2 Fast Rotations of a Satellite with a Triaxial Ellipsoid of Inertia; 6.3 Resonance Phenomena in the Planar Motion of a Satellite About Its Center of Mass; References; Chapter 7: Motion of a Rigid Body with a Cavity Filled with a Viscous Fluid; 7.1 Equations of Motion of a Body with a Viscous Fluid in a Cavity; 7.2 Planar Motion of a Pendulum with a Viscous Fluid.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource (xxxviii, 241 pages), illustrations
• Subjects: 531; Engineering; Center of mass; Dynamics, Rigid; SCIENCE -- Mechanics -- Solids; Center of mass; Dynamics, Rigid; Engineering; Aerospace Technology and Astronautics; Mathematical Physics; Classical Mechanics; Science -- Mathematical Physics; Science -- Mechanics -- General; Mathematical physics; Classical mechanics; Astronautics; Mechanics; Technology & Engineering -- Aeronautics & Astronautics; Aerospace & aviation technology; Electronic books
• Languages: English
• ISBNs: 9783319539287; 3319539280
• Related ISBNs: 9783319539270; 3319539272
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed April 27, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.