Some integrable problems in celestial mechanics in spaces of constant curvature (Q1407377)
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scientific article; zbMATH DE number 1982012
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some integrable problems in celestial mechanics in spaces of constant curvature |
scientific article; zbMATH DE number 1982012 |
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Some integrable problems in celestial mechanics in spaces of constant curvature (English)
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16 September 2003
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The author considers some integrable problems in spaces of positive or negative constant curvature. Namely, Kepler's problem, the two fixed attracting center problem and the Lagrange problem on the three-dimensional sphere \(S^3\) embedded in four-dimensional Euclidean space \(E^4\), or on the upper sheet of the hyperboloid \(H^3\) embedded in the four-dimensional Minkowski space \(M^4\) are studied in detail.
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Kepler's problem
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Lagrange problem
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sphere
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hyperboloid
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