The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point (Springer Tracts in Natural Philosophy)

Eugene Leimanis

ISBN 10: 3642884148 / ISBN 13: 9783642884146

Published by Springer, 2012

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356 pages. 9.45x6.61x0.81 inches. In Stock.

Seller Inventory # x-3642884148

Bibliographic Details

• Title: The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point (Springer Tracts in Natural Philosophy)
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 3642884148
• ISBN 13: 9783642884146
• Binding: Paperback
• Condition: Brand New
• Weight: 0.67 kilograms

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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.