عنوان

Rigid Body Dynamics

(Number (ISBN

3110542978

(Number (ISBN

311054444X

(Number (ISBN

9783110542974

(Number (ISBN

9783110544442

Erroneous ISBN

311054279X

Erroneous ISBN

9783110542790

Title Proper

Rigid Body Dynamics

General Material Designation

[Book]

Place of Publication, Distribution, etc.

Berlin/Boston :

Name of Publisher, Distributor, etc.

De Gruyter, Inc.,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (530 pages)

Series Title

De Gruyter Studies in Mathematical Physics Ser. ;

Volume Designation

v. 52

Text of Note

Intro; Contents; Introduction; The Creators of Rigid Body Dynamics; 1. Rigid Body Equations of Motion and Their Integration; 2. The Euler -- Poisson Equations and Their Generalizations; 3. The Kirchhoff Equations and Related Problems of Rigid Body Dynamics; 4. Linear Integrals and Reduction; 5. Generalizations of Integrability Cases. Explicit Integration; 6. Periodic Solutions, Nonintegrability, and Transition to Chaos; A. Derivation of the Kirchhoff, Poincaré -- Zhukovskii, and Four-Dimensional Top Equations; B. The Lie Algebra e(4) and Its Orbits

Text of Note

C. Quaternion Equations and L-A Pair for the Generalized Goryachev -- Chaplygin TopD. The Hess Case and Quantization of the Rotation Number; E. Ferromagnetic Dynamics in a Magnetic Field; F. The Landau -- Lifshitz Equation, Discrete Systems, and the Neumann Problem; G. Dynamics of Tops and Material Points on Spheres and Ellipsoids; H. On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation; I. The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids; Bibliography; Index of Names; Index

0

8

Text of Note

This book provides an up-to-date overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler - Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincaré - Zhukovskii, and Four-Dimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and L-A Pair for the Generalized Goryachev - Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau - Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids.

Title

Rigid Body Dynamics.

International Standard Book Number

9783110542790

Dynamics, Rigid.

Dynamics, Rigid.

SCIENCE-- Mechanics-- General.

Number

Edition

Class number

Book number

Borisov, Alexey V.

Mamaev, Ivan S.

Staff, Higher Education Press Ltd.

Date of Transaction

20200823095733.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y