Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lidov-Kozai stability regions in the alpha Centauri system   The stability of planets in the alpha-Centauri AB stellar system has been
studied extensively. However, most studies either focus on the orbital plane of
the binary or consider inclined circular orbits.
  Here, we numerically investigate the stability of a possible planet in the
alpha-Centauri AB binary system for S-type orbits in an arbitrary spatial
configuration. In particular, we focus on inclined orbits and explore the
stability for different eccentricities and orientation angles.
  We show that large stable and regular regions are present for very eccentric
and inclined orbits, corresponding to libration in the Lidov-Kozai resonance.
We additionally show that these extreme orbits can survive over the age of the
system, despite the effect of tides. Our results remain qualitatively the same
for any compact binary system.

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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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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: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: math
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The categories of this paper are: cs