Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mildly-Hierarchical triple dynamics and applications to the outer solar
  system   Three-body interactions are ubiquitous in astrophysics. For instance,
Kozai-Lidov oscillations in hierarchical triple systems have been studied
extensively and applied to a wide range of astrophysical systems. However,
mildly-hierarchical triples also play an important role, but they are less
explored. In this work we consider the secular dynamics of a test particle in a
mildly-hierarchical configuration. We find the limit within which the secular
approximation is reliable, present resonances and chaotic regions using surface
of sections, and characterize regions of phase space that allow large
eccentricity and inclination variations. Finally, we apply the secular results
to the outer solar system. We focus on the distribution of extreme
trans-neptunian objects (eTNOs) under the perturbation of a possible outer
planet (Planet-9), and find that in addition to a low inclination Planet-9, a
polar or a counter-orbiting one could also produce pericenter clustering of
eTNOs, while the polar one leads to a wider spread of eTNO inclinations.

19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin