The fourth algebraic integral of Kirchhoff's equations (Q2761277)
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scientific article; zbMATH DE number 1683332
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The fourth algebraic integral of Kirchhoff's equations |
scientific article; zbMATH DE number 1683332 |
Statements
18 December 2001
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Kirchhoff's equations
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fourth algebraic integral
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symmetry condition
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Steklov problem
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ideal fluid
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rigid body
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0.8699355
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0.8647014
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0.8624273
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0.8499838
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0.8494936
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0.84941804
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0.8489613
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0.8480149
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The fourth algebraic integral of Kirchhoff's equations (English)
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The paper deals with the Steklov problem (1893) to determine all cases when the equations of motion of a rigid body in ideal fluid admit the fourth integral in the form of a homogeneous polynomial of arbitrary degree. Some symmetry conditions are established under which all the cases of existence of such an integral are exhausted by classical ones.
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