Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transit timing variations, radial velocities and long-term dynamical
  stability of the system Kepler-410   Transit timing variations of Kepler-410Ab were already reported in a few
papers. Their semi-amplitude is about 14.5 minutes. In our previous paper, we
found that the transit timing variations could be caused by the presence of a
stellar companion in this system. Our main motivation for this paper was to
investigate variation in a radial-velocity curve generated by this additional
star in the system. We performed spectroscopic observation of Kepler-410 using
three telescopes in Slovakia and Czech Republic. Using the cross-correlation
function, we measured the radial velocities of the star Kepler-410A. We did not
observe any periodic variation in a radial-velocity curve. Therefore, we
rejected our previous hypothesis about additional stellar companion in the
Kepler-410 system. We ran different numerical simulations to study mean-motion
resonances with Kepler-410Ab. Observed transit timing variations could be also
explained by the presence of a small planet near to mean-motion resonance 2:3
with Kepler-410Ab. This resonance is stable on a long-time scale. We also
looked for stable regions in the Kepler-410 system where another planet could
exist for a long time.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: econ