On the existence of central configurations of \(2k+2p+2l\)-body problems (Q471655)
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scientific article; zbMATH DE number 6369984
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of central configurations of \(2k+2p+2l\)-body problems |
scientific article; zbMATH DE number 6369984 |
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On the existence of central configurations of \(2k+2p+2l\)-body problems (English)
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17 November 2014
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Summary: We prove the existence of central configurations of the \(2k+2p+2l\)-body problems with Newtonian potentials in \(\mathbb R^3\). In such configuration, \(2k\) masses are symmetrically located on the \(z\)-axis, \(2p\) masses are symmetrically located on the \(y\)-axis, and \(2l\) masses are symmetrically located on the \(x\)-axis, respectively; the masses symmetrically about the origin are equal.
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