Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Frequency Distribution of Semi-major Axis of Wide Binaries.
  Cosmogony and Dynamical Evolution   The frequency distribution f(a) of semi-major axis of double and multiple
systems, as well as their eccentricities and mass ratios, contain valuable
fossil information about the process of star formation and the dynamical
history of the systems. In order to advance in the understanding of these
questions, we have made an extensive analysis of the frequency distribution f
(a) for wide binaries (a>25 AU) in the various published catalogues, as well as
in our own (Poveda et al., 1994; Allen et al., 2000; Poveda & Hernandez, 2003).
Based upon all these studies we have established that the frequency f(a) is
function of the age of the system and follows Oepik's distribution f(a) ~ 1/a
in the range of 100 AU < a < a[c](t), where a[c](t) is a critical semi-major
axis beyond which binaries have dissociated by encounters with massive objects.
We argue that the physics behind the distribution f(a) ~ 1/a is a process of
energy relaxation, analogous to that present in stellar clusters (secular
relaxation) or in spherical galaxies (violent relaxation). The frequency
distribution of mass ratios in triple systems as well as the existence of
runaway stars, indicate that both types of relaxation are important in the
process of binary and multiple star formation.

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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: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an