Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On The Lack of Circumbinary Planets Orbiting Isolated Binary Stars   We outline a mechanism that explains the observed lack of circumbinary
planets (CBPs) via coupled stellar-tidal evolution of isolated binary stars.
Tidal forces between low-mass, short-period binary stars on the pre-main
sequence slow the stellar rotations, transferring rotational angular momentum
to the orbit as the stars approach the tidally locked state. This transfer
increases the binary orbital period, expanding the region of dynamical
instability around the binary, and destabilizing CBPs that tend to
preferentially orbit just beyond the initial dynamical stability limit. After
the stars tidally lock, we find that angular momentum loss due to magnetic
braking can significantly shrink the binary orbit, and hence the region of
dynamical stability, over time impacting where surviving CBPs are observed
relative to the boundary. We perform simulations over a wide range of parameter
space and find that the expansion of the instability region occurs for most
plausible initial conditions and that in some cases, the stability semi-major
axis doubles from its initial value. We examine the dynamical and observable
consequences of a CBP falling within the dynamical instability limit by running
N-body simulations of circumbinary planetary systems and find that typically,
at least one planet is ejected from the system. We apply our theory to the
shortest period {\it Kepler} binary that possesses a CBP, Kepler-47, and find
that its existence is consistent with our model. Under conservative
assumptions, we find that coupled stellar-tidal evolution of pre-main sequence
binary stars removes at least one close-in CBP in $87\%$ of multi-planet
circumbinary systems.

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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci