Overview

In the theory of motion of several coupled rigid bodies about a fixed point one can distinguish three basic ramifications. 1. The first, the so-called classical direction of investigations, is concerned with particular cases of integrability ot the equations of motion of a single rigid body about a fixed point,1 and with their geo­ metrical interpretation. This path of thought was predominant until the beginning of the 20th century and its most illustrious represen­ tatives are L. EULER (1707-1783), J L. LAGRANGE (1736-1813), L. POINSOT (1777-1859), S. V. KOVALEVSKAYA (1850-1891), and others. Chapter I of the present monograph intends to reflect this branch of investigations. For collateral reading on the general questions dealt with in this chapter the reader is referred to the following textbooks and reports: A. DOMOGAROV [1J, F. KLEIN and A. SOMMERFELD [11, 1 , 1 J, A. G. 2 3 GREENHILL [10J, A. GRAY [1J, R. GRAMMEL [4 J, E. J. ROUTH [21' 2 , 1 2 31' 32J, J. B. SCARBOROUGH [1J, and V. V. GOLUBEV [1, 2J.

Full Product Details

Author:   Eugene Leimanis
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1965
Volume:   7
Dimensions:   Width: 17.80cm , Height: 1.80cm , Length: 25.40cm
Weight:   0.677kg
ISBN:  

9783642884146

ISBN 10:   3642884148
Pages:   338
Publication Date:   01 June 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

I: Single rigid body.- I: Heavy rigid body.- II: Self — excited rigid body.- III: Externally excited rigid body.- II: Several coupled rigid bodies.- IV: Gyrostats.- V: Gyroscope in a Cardan suspension.- III: Gyroscopes and artificial Earth satellites.- VI: Rigid body in a central Newtonian field of forces.- VII: Motion of an artificial Earth satellite about its mass center.- Author Index.

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