Integrable cases of the problem of motion of a point over a three- dimensional sphere in a force field with fourth-degree potential (Q1073578)
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scientific article; zbMATH DE number 3945388
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrable cases of the problem of motion of a point over a three- dimensional sphere in a force field with fourth-degree potential |
scientific article; zbMATH DE number 3945388 |
Statements
Integrable cases of the problem of motion of a point over a three- dimensional sphere in a force field with fourth-degree potential (English)
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1985
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The method of excess coordinates and Brun's result regarding the integrals of the problem of rotation of a rigid body in a Newtonian force field are employed to obtain new integrable cases of the problem of motion of a point mass over a three-dimensional sphere in a potential force field.
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Lagrange multiplier
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forth-degree potential
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Hamiltonian system with four degrees of freedom
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method of excess coordinates
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rotation of a rigid body
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Newtonian force field
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motion of a point mass over a three- dimensional sphere
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potential force field
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