On the stability of periodic Poincaré solutions of Hamiltonian systems in the degenerate case (Q1060880)
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scientific article; zbMATH DE number 3909823
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stability of periodic Poincaré solutions of Hamiltonian systems in the degenerate case |
scientific article; zbMATH DE number 3909823 |
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On the stability of periodic Poincaré solutions of Hamiltonian systems in the degenerate case (English)
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1985
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The sufficient conditions for the orbital stability of periodic Poincaré solutions in the case of natural degeneracy are obtained for a certain class of Hamiltonian systems with two degrees of freedom. The orbital stability of periodic Poincaré solutions in the problem of periodic motions relative to the centre of mass of a dynamically symmetric artificial satellite with an inertia ellipsoid close to a sphere, in a circular orbit, is investigated as an application.
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sufficient conditions
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orbital stability
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periodic Poincaré solutions
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natural degeneracy
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Hamiltonian systems with two degrees of freedom
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dynamically symmetric artificial satellite
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