Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear stability of the elliptic relative equilibrium with $(1 +n)$-gon
  central configurations in planar $n$-body problem   We study the linear stability of $(1+n)$-gon elliptic relative equilibrium
(ERE for short), that is the Kepler homographic solution with the $(1+n)$-gon
central configurations. We show that for $n\geq 8$ and any eccentricity
$e\in[0,1)$, the $(1+n)$-gon ERE is stable when the central mass $m$ is large
enough. Some linear instability results are given when $m$ is small.

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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ