Dimensionality of stable and unstable directions in the gravitational \(n\)-body problem (Q1976079)
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scientific article; zbMATH DE number 1442256
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dimensionality of stable and unstable directions in the gravitational \(n\)-body problem |
scientific article; zbMATH DE number 1442256 |
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Dimensionality of stable and unstable directions in the gravitational \(n\)-body problem (English)
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28 May 2001
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The author investigates the chaotic nature of the gravitational \(n\)-body problem. The stability of the separation of phase trajectories in various directions is related to eigenvalues of the corresponding matrix of force gradients. Numerical experiments are conducted for the 100-body case. The author presents an approximate method for the estimation of the rate of trajectory separation for on average \(1,2n\) unstable directions out of \(3n\) detected.
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100-body calculation
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chaos
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stable directions
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gravitational \(n\)-body problem
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separation of phase trajectories
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eigenvalues
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unstable directions
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