Saari's conjecture for the planar three-body problem with equal masses (Q1766794)
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scientific article; zbMATH DE number 2140046
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Saari's conjecture for the planar three-body problem with equal masses |
scientific article; zbMATH DE number 2140046 |
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Saari's conjecture for the planar three-body problem with equal masses (English)
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1 March 2005
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The author considers the three-body problem for three equal masses with constant moment of inertia moving in a plane under their mutual gravitational attraction, and proves the validity of \textit{D. Saari} [in G. E. O. Giacaglia (ed.), Periodic orbits, stability and resonances. 76--81. D. Riedel, Dordrecht (1970)] conjectured that only relative equilibrium solutions are possible.
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relative equilibrium solution
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constant moment of inertia
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