The golden ratio and super central configurations of the \(n\)-body problem (Q541277)
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scientific article; zbMATH DE number 5904487
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The golden ratio and super central configurations of the \(n\)-body problem |
scientific article; zbMATH DE number 5904487 |
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The golden ratio and super central configurations of the \(n\)-body problem (English)
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6 June 2011
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A problem on central configurations in the \(n\)-body problem with the general homogeneous potential of the form \(1/r^\alpha\) is considered in this work. Interesting relationships with the golden ratio \(\varphi\) are obtained for the so-called super central configurations. For example, one result states that for any \(r\notin (1/\varphi,\varphi),\) \(q=(0,1,1+r)\) is not a super central configuration.
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central configuration
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\(n\)-body problem
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super central configuration
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inverse problem
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relative equilibrium
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golden ratio
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