On the successive elimination of perturbation harmonics (Q1209261)
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scientific article; zbMATH DE number 167661
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the successive elimination of perturbation harmonics |
scientific article; zbMATH DE number 167661 |
Statements
On the successive elimination of perturbation harmonics (English)
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16 May 1993
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The author presents a method of investigation of perturbations of an integrable Hamiltonian system of two degrees of freedom. He discusses its advantages and defaults in comparison with other applications. The main idea is based on the fact that a Hamiltonian with only one harmonic is integrable. This permits to eliminate it with help of results of Arnold (1963) and Henrard (1990). The advantages of the method are demonstrated in application to the Miranda-Umbriel problem in celestial mechanics.
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Fourier expansion
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action-angle variables
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resonances
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chaotic motion
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KAM theorem
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Hamiltonian systems
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perturbations
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