The onset of chaotic motion in the restricted problem of three bodies (Q684424)
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scientific article; zbMATH DE number 411747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The onset of chaotic motion in the restricted problem of three bodies |
scientific article; zbMATH DE number 411747 |
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The onset of chaotic motion in the restricted problem of three bodies (English)
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15 September 1993
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This paper examines and classifies the onset of chaotic motion in the restricted three-body problem through the use of Poincaré surfaces of section, Lyapunov characteristic numbers, power spectral density analysis and a newly developed technique called numerical irreversibility. The chaotic motion is found to be intermittent and becomes first evident when the Jacobian constant is slightly higher than \(C_ 2\).
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Poincaré surfaces
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Lyapunov characteristic numbers
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power spectral density analysis
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numerical irreversibility
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Jacobian constant
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