On the generalized Chaplygin integral (Q1598926)
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scientific article; zbMATH DE number 1746545
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the generalized Chaplygin integral |
scientific article; zbMATH DE number 1746545 |
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On the generalized Chaplygin integral (English)
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28 May 2002
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The author considers the motion of a rotationally symmetric heavy rigid body in contact with a solid surface without sliding and obtains conditions for the existence of a Chaplygin-type integral. These conditions are valid, in particular, in the case of motion of a nonhomogeneous dynamically symmetric sphere along a perfectly rough plane and along an internal surface of a sphere.
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generalized Chaplygin integral
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rotationally symmetric heavy rigid body
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dynamically symmetric sphere
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perfectly rough plane
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internal surface of sphere
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