Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stacked Central Configurations for Newtonian N+4-Body Problems   In this paper,we study spatial central configurations where N bodies are at
the vertices of a regular N-gon $T$ and the other 4 bodies are symmetrically
located on the straight line that is perpendicular to the plane that contains
$T$ and passes through the center of $T$.We study the necessary conditions
about masses for the bodies which can form a central configuration and show the
existence of central configurations for Newtonian N+4-body problems.

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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci