A minimizing property of Eulerian solutions (Q1766274)
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scientific article; zbMATH DE number 2139806
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A minimizing property of Eulerian solutions |
scientific article; zbMATH DE number 2139806 |
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A minimizing property of Eulerian solutions (English)
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28 February 2005
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It is known that Keplerian orbits minimize the Lagrangian action of two-body problem. Here, the planar three-body problem which has the collinear (Eulerian) solutions is examined for variation-minimizing properties of these solutions. It is proved that the elliptical solutions and collision ejection solutions with Eulerian collinear configurations are the variation minimizers of Lagrangian action restricted to a suitable loop space.
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Lagrangian action
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planar three-body problem
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minimizers
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0.86640275
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