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The general problem of the motion of coupled rigid bodies about a fixed point
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...
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Lenguaje: | eng |
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Springer
1965
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Acceso en línea: | https://dx.doi.org/10.1007/978-3-642-88412-2 http://cds.cern.ch/record/2006302 |
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author | Leimanis, Eugene |
author_facet | Leimanis, Eugene |
author_sort | Leimanis, Eugene |
collection | CERN |
description | 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. |
id | cern-2006302 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1965 |
publisher | Springer |
record_format | invenio |
spelling | cern-20063022021-04-21T20:22:59Zdoi:10.1007/978-3-642-88412-2http://cds.cern.ch/record/2006302engLeimanis, EugeneThe general problem of the motion of coupled rigid bodies about a fixed pointMathematical Physics and MathematicsIn 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.Springeroai:cds.cern.ch:20063021965 |
spellingShingle | Mathematical Physics and Mathematics Leimanis, Eugene The general problem of the motion of coupled rigid bodies about a fixed point |
title | The general problem of the motion of coupled rigid bodies about a fixed point |
title_full | The general problem of the motion of coupled rigid bodies about a fixed point |
title_fullStr | The general problem of the motion of coupled rigid bodies about a fixed point |
title_full_unstemmed | The general problem of the motion of coupled rigid bodies about a fixed point |
title_short | The general problem of the motion of coupled rigid bodies about a fixed point |
title_sort | general problem of the motion of coupled rigid bodies about a fixed point |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-3-642-88412-2 http://cds.cern.ch/record/2006302 |
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