Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The eccentricity distribution of wide binaries and their individual
  measurements   Eccentricity of wide binaries is difficult to measure due to their long
orbital periods. With Gaia's high-precision astrometric measurements,
eccentricity of a wide binary can be constrained by the angle between the
separation vector and the relative velocity vector (the $v$-$r$ angle). In this
paper, by using the $v$-$r$ angles of wide binaries in Gaia Early Data Release
3, we develop a Bayesian approach to measure the eccentricity distribution as a
function of binary separations. Furthermore, we infer the eccentricities of
individual wide binaries and make them publicly available. Our results show
that the eccentricity distribution of wide binaries at $10^2$ AU is close to
uniform and becomes superthermal at $>10^{3}$ AU, suggesting two formation
mechanisms dominating at different separation regimes. The close binary
formation, most likely disk fragmentation, results in a uniform eccentricity
distribution at $<10^{2}$ AU. The wide binary formation that leads to highly
eccentric wide binaries at $>10^{3}$ AU may be turbulent fragmentation and/or
the dynamical unfolding of compact triples. With Gaia, measuring eccentricities
is now possible for a large number of wide binaries, opening a new window to
understanding binary formation and evolution.

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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: stat
37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
9
The categories of this paper are: nlin