Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Lagrange Stability of Motion and final Evolutions in the
  Three-Body Problem   For the three-body problem, we consider the Lagrange stability. To analyze
the stability, along with integrals of energy and angular momentum, we use
relations by the author from Sosnitskii (2005), which band together separately
squared mutual distances between bodies (mass points) and squared mutual
distances from bodies to the barycenter of the system. In this case, we prove
the Lagrange stability theorem, which allows us to define more exactly the
character of hyperbolic-elliptic and parabolic-elliptic final evolutions

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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: eess
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom