On two linear invariant relations in a problem of dynamics. (Q2734667)
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scientific article; zbMATH DE number 1635776
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On two linear invariant relations in a problem of dynamics. |
scientific article; zbMATH DE number 1635776 |
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27 August 2001
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rigid body dynamics
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Grioli equations
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integral manifold
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On two linear invariant relations in a problem of dynamics. (English)
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Existence conditions of two linear invariant relations for differential equations of D. Grioli are investigated. For invariant relations of special kind it is shown that the integral manifold for these equations is completely determined by potential and gyroscopic functions which are the polynomials of the second order with respect to the vertical vector components.
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