A minimizing property of Lagrangian solutions (Q5946549)
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scientific article; zbMATH DE number 1659119
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A minimizing property of Lagrangian solutions |
scientific article; zbMATH DE number 1659119 |
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A minimizing property of Lagrangian solutions (English)
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14 July 2002
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This short paper shows that Lagrangian solutions of three-body problem minimize the action functional. The main result states that any minimal regular solution of the three-body problem is precisely the Lagrangian elliptic solution. The authors also give a brief review of Keplerian orbits and of the Gordon's result.
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minimizing property
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three-body problem
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action functional
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Lagrangian elliptic solution
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