Construction of librational invariant tori in the spin-orbit problem (Q1315367)
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scientific article; zbMATH DE number 513157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of librational invariant tori in the spin-orbit problem |
scientific article; zbMATH DE number 513157 |
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Construction of librational invariant tori in the spin-orbit problem (English)
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10 November 1994
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Spin-orbit resonance problems are investigated for the synchronous (1:1) case, using Hamiltonian dynamics. Transformations, Birkhoff's normalization and the application of KAM theory show the existence of librational tori. The two applications studied are the Earth-Moon system and the Saturn-Rhea system. Once again the Earth-Moon mathematical stability condition does not meet the physical situation, but in the case of the Saturn-Rhea system the proper trapping tori can be constructed according to the existing physical parameters.
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Birkhoff's normalization
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KAM theory
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Earth-Moon system
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Saturn-Rhea system
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resonance
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existence
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