Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hiding Planets Near and Far: Predicting Hidden Companions for Known
  Planetary Systems   Recent ground and space-based observations show that stars with multiple
planets are common in the galaxy. Most of these observational methods are
biased toward detecting large planets near to their host stars. Because of
these observational biases, these systems can hide small, close-in planets or
far-orbiting (big or small) companions. These planets can still exert dynamical
influence on known planets and have such influence exerted upon them in turn.
In certain configurations, this influence can destabilize the system; in
others, the star's gravitational influence can instead further stabilize the
system. For example, in systems with planets close to the host star, effects
arising from general relativity can help to stabilize the configuration. We
derive criteria for hidden planets orbiting both beyond and within known
planets that quantify how strongly general relativistic effects can stabilize
systems that would otherwise be unstable. As a proof-of-concept, we investigate
the several planets around the star Kepler 56, show that the outermost planet
will not disrupt the system, and show that an Earth-radius planet could be
stable within this system if it orbits below $0.08$ au. Furthermore, we provide
specific predictions to known observed systems by constraining the parameter
space of possible hidden planets.

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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc