Relaxation-chaos phenomena in celestial mechanics. I. On Wisdom's model for the 3/1 Kirkwood gap (Q1088237)
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scientific article; zbMATH DE number 3990449
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relaxation-chaos phenomena in celestial mechanics. I. On Wisdom's model for the 3/1 Kirkwood gap |
scientific article; zbMATH DE number 3990449 |
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Relaxation-chaos phenomena in celestial mechanics. I. On Wisdom's model for the 3/1 Kirkwood gap (English)
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1987
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Sudden eccentricity increases of asteroidal motion in 3/1 resonance with Jupiter were discovered and explained by J. Wisdom through the occurrence of jumps in the action corresponding to the critical angle (resonant combination of the mean motions). We pursue some aspects of this mechanism, which could be termed relaxation-chaos: that is, an unconventional form of homoclinic behavior arising in perturbed integrable Hamiltonian systems for which the KAM theorem hypothesis does not hold.
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asteroidal motion
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integrable Hamiltonian systems
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KAM theorem
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