Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the migration of two planets in a disc and the formation of mean
  motion resonances   We study the dynamics of a system of two super-Earths embedded in a
protoplanetary disc. We build a simple model of an irradiated viscous disc and
use analytical prescriptions for the planet-disc interactions which lead to
migration. We show that depending on the disc parameters, planets' masses and
their positions in the disc, the migration of each planet can be inward or
outward and the migration of a two-planet system can be convergent (which may
lead to formation of a first order mean motion resonance, MMR) or divergent (a
system moves away from MMR). We performed $3500$ simulations of the migration
of two-planet systems with various masses and initial orbits. Almost all of
them end up as resonant configurations, although the period ratios may be very
distant from the nominal values of a given MMR. We found that almost all the
systems resulting from the migration are periodic configurations.

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The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs