Symplectic reduction applied to the non-integrability of the satellite problem (Q1432082)
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scientific article; zbMATH DE number 2074286
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symplectic reduction applied to the non-integrability of the satellite problem |
scientific article; zbMATH DE number 2074286 |
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Symplectic reduction applied to the non-integrability of the satellite problem (English)
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14 June 2004
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The symmetric satellite is a Hamiltonian system with three degrees of freedom and two commuting first integrals. Continuing the examples of the author's previous paper [Ann. Fac. Sci. Toulouse, VI. Sér. 12, 1--23 (2003; Zbl 1042.37039)] it is proved that this Hamiltonian system is non-integrable using the well-known symplectic reduction.
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symmetric satellite
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symplectic reduction
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nonintegrable Hamiltonian system
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