Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: La stabilit\'e des lunes de Saturne, Janus et \'Epim\'eth\'ee: de
  l'observation astronomique \`a la th\'eorie KAM   Popular science article associated with the work `On the co-orbital motion in
the three-body problem: existence of quasi-periodic horseshoe-shaped orbits"
(arXiv:1806.07262) from the same authors. Janus and Epimetheus are two moons of
Saturn which exhibit a really peculiar dynamics. As they orbit on circular
trajectories whose radii are only 50 km apart (less than their respective
diameters), every four (terrestrial) years the bodies are getting closer and
their mutual gravitational influence leads to a swapping of the orbits: the
outer moon becoming the inner one and vice-versa. In this article, we describe
how, from this specific astronomical problem to the KAM theory, we came to
prove the existence of perpetually stable trajectories associated with the
Janus and Epimetheus orbits.

3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con