On the extendable regular integrals of the n-body problem (Q1057671)
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scientific article; zbMATH DE number 3898287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the extendable regular integrals of the n-body problem |
scientific article; zbMATH DE number 3898287 |
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On the extendable regular integrals of the n-body problem (English)
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1984
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The paper deals with the n-body problem in d-dimensional space. The author calls an integral F ''extendable regular integral'' of the problem, if F is in involution to the classical integrals and if F can be extended to the total collision manifold. The main result is: the n-body problem in a d-dimensional space has no extendable regular integrals if \(n\geq d+1\).
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n-body problem in d-dimensional space
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extendable regular integral
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total collision manifold
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