On the reality of all roots of characteristic polynom of first approximation equations in rigid body dynamics. (Q2714229)
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scientific article; zbMATH DE number 1604110
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the reality of all roots of characteristic polynom of first approximation equations in rigid body dynamics. |
scientific article; zbMATH DE number 1604110 |
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13 June 2001
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On the reality of all roots of characteristic polynom of first approximation equations in rigid body dynamics. (English)
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The author considers a polynomial of power \(n\) with real coefficients and obtains necessary and sufficient conditions that this polynomial has all different real roots. These conditions are written for \(n\leq5\). The analysis of these conditions is done for \(n=3\) for a mechanical system. In particular, an analytical confirmation of Kelvin's experiments is obtained.
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