Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of the co-orbital resonance under dissipation: Application to
  its evolution in protoplanetary discs   Despite the existence of co-orbital bodies in the solar system, and the
prediction of the formation of co-orbital planets by planetary system formation
models, no co-orbital exoplanets (also called trojans) have been detected thus
far. In this paper we investigate how a pair of co-orbital exoplanets would
fare during their migration in a protoplanetary disc. To this end, we computed
a stability criterion of the Lagrangian equilibria L4 and L5 under generic
dissipation and slow mass evolution. Depending on the strength and shape of
these perturbations, the system can either evolve towards the Lagrangian
equilibrium, or tend to increase its amplitude of libration, possibly all the
way to horseshoe orbits or even exiting the resonance. We estimated the various
terms of our criterion using a set of hydrodynamical simulations, and show that
the dynamical coupling between the disc perturbations and both planets have a
significant impact on the stability: the structures induced by each planet in
the disc perturb the dissipative forces applied on the other planets over each
libration cycle. Amongst our results on the stability of co-orbitals, several
are of interest to constrain the observability of such configurations:
long-distance inward migration and smaller leading planets tend to increase the
libration amplitude around the Lagrangian equilibria, while leading massive
planets and belonging to a resonant chain tend to stabilise it. We also show
that, depending on the strength of the dissipative forces, both the inclination
and the eccentricity of the smaller of the two co-orbitals can be significantly
increased during the inward migration of the co-orbital pair, which can have a
significant impact on the detectability by transit of such configurations.

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The categories of this paper are: hep-ph
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci