Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Survival of non-coplanar, closely-packed planetary systems after a close
  encounter   Planetary systems with more than two bodies will experience orbital crossings
at a time related to the initial orbital separations of the planets. After a
crossing, the system enters a period of chaotic evolution ending in the
reshaping of the system's architecture via planetary collisions or ejections.
We carry out N-body integrations on a large number of systems with
equally-spaced planets (in units of the Hill radius) to determine the
distribution of instability times for a given planet separation. We investigate
both the time to the initiation of instability through a close encounter and
the time to a planet-planet collision. We find that a significant portion of
systems with non-zero mutual inclinations survive after a close encounter and
do not promptly experience a planet-planet collision. Systems with significant
inclinations can continue to evolve for over 1,000 times longer than the
encounter time. The fraction of long lived systems is dependent on the absolute
system scale and the initial inclination of the planets. These results have
implications to the assumed stability of observed planetary systems.

8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
9
The categories of this paper are: nlin