The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point

Eugene Leimanis

ISBN 10: 3642884148 / ISBN 13: 9783642884146

Published by Springer, Springer Gabler Jun 2012, 2012

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 356 pp. Englisch.

Seller Inventory # 9783642884146

Bibliographic Details

• Title: The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point
• Publisher: Springer, Springer Gabler Jun 2012
• Publication Date: 2012
• Language: English
• ISBN 10: 3642884148
• ISBN 13: 9783642884146
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 254W x 178H x 20D millimeters 254 millimeters width by 178 millimeters height by 20 millimeters depth
• Weight: 670 grams

About this title

Synopsis

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.