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＜E-Book＞
The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point / by Eugene Leimanis
(Springer Tracts in Natural Philosophy ; 7)

Edition	1st ed. 1965.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1965
Size	XVI, 338 p : online resource
Authors	*Leimanis, Eugene author SpringerLink (Online service)
Subjects	LCSH:Mathematical physics FREE:Theoretical, Mathematical and Computational Physics
Notes	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 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 HTTP:URL=https://doi.org/10.1007/978-3-642-88412-2

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