Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: MESA Models of the Evolutionary State of the Interacting Binary epsilon
  Aurigae   Using MESA code (Modules for Experiments in Stellar Astrophysics, version
9575), an evaluation was made of the evolutionary state of the epsilon Aurigae
binary system (HD 31964, F0Iap + disk). We sought to satisfy several
observational constraints: 1) requiring evolutionary tracks to pass close to
the current temperature and luminosity of the primary star; 2) obtaining a
period near the observed value of 27.1 years; 3) matching a mass function of
3.0; 4) concurrent Roche lobe overflow and mass transfer; 5) an isotopic ratio
12 C/ 13 C = 5 and, (6) matching the interferometrically determined angular
diameter. A MESA model starting with binary masses of 9.85 + 4.5 Msun , with a
100 day initial period, produces a 1.2 + 10.6 Msun result having a 547 day
period, and a single digit 12 C/ 13 C ratio. These values were reached near an
age of 20 Myr, when the donor star comes close to the observed luminosity and
temperature for epsilon Aurigae A, as a post-RGB/pre-AGB star.
Contemporaneously, the accretor then appears as an upper main sequence, early
B-type star. This benchmark model can provide a basis for further exploration
of this interacting binary, and other long period binary stars.

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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga