On the connection among three classical mechanical problems via the hypercomplex KS-transformation (Q1186213)
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scientific article; zbMATH DE number 36333
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the connection among three classical mechanical problems via the hypercomplex KS-transformation |
scientific article; zbMATH DE number 36333 |
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On the connection among three classical mechanical problems via the hypercomplex KS-transformation (English)
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28 June 1992
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With reference to the hypercomplex regularizations of the classical Kepler problem and on the hypercomplex descriptions of the classical rotational mechanics, we arrive at an intimate mathematical relationship among the three classical mechanical problems: the elliptic Kepler problem, the spherical Euler-Poinsot problem and the four-dimensional isotropic harmonic oscillator.
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hypercomplex regularizations
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elliptic Kepler problem
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spherical Euler- Poinsot problem
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four-dimensional isotropic harmonic oscillator
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