Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Central Configurations of the Five-Body Problem with Equal Masses   In this paper we present a complete classification of the isolated central
configurations of the five-body problem with equal masses. This is accomplished
by using the polyhedral homotopy method to approximate all the isolated
solutions of the Albouy-Chenciner equations. The existence of exact solutions,
in a neighborhood of the approximated ones, is then verified using the Krawczyk
method. Although the Albouy-Chenciner equations for the five-body problem are
huge, it is possible to solve them in a reasonable amount of time.

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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc