{ "id": "1506.01254", "version": "v1", "published": "2015-06-03T14:26:32.000Z", "updated": "2015-06-03T14:26:32.000Z", "title": "Spectroscopically resolving the Algol triple system", "authors": [ "V. Kolbas", "K. Pavlovski", "J. Southworth", "C. -U. Lee", "D. -J. Lee", "J. W. Lee", "S. -L. Kim", "H. -I. Kim", "B. Smalley", "A. Tkachenko" ], "comment": "Accepted for publication in MNRAS", "categories": [ "astro-ph.SR" ], "abstract": "Algol ($\\beta$ Persei) is the prototypical semi-detached eclipsing binary and a hierarchical triple system. From 2006 to 2010 we obtained 121 high-resolution and high-S/N \\'{e}chelle spectra of this object. Spectral disentangling yields the individual spectra of all three stars, and greatly improved elements both the inner and outer orbits. We find masses of $M_{\\rm A} = 3.39\\pm0.06$ M$_\\odot$, $M_{\\rm B} = 0.770\\pm0.009$ M$_\\odot$ and $M_{\\rm C} = 1.58\\pm0.09$ M$_\\odot$. The disentangled spectra also give the light ratios between the components in the $B$ and $V$ bands. Atmospheric parameters for the three stars are determined, including detailed elemental abundances for Algol A and Algol C. We find the following effective temperatures: $T_{\\rm A} = 12\\,550\\pm120$ K, $T_{\\rm B} = 4900\\pm300$ K and $T_{\\rm C} = 7550\\pm250$ K. The projected rotational velocities are $v_{\\rm A} \\sin i_{\\rm A} = 50.8\\pm0.8$ km/s, $v_{\\rm B} \\sin i_{\\rm B} = 62\\pm2$ km/s and $v_{\\rm C} \\sin i_{\\rm C} = 12.4\\pm0.6$ km/s. This is the first measurement of the rotational velocity for Algol B, and confirms that it is synchronous with the orbital motion. The abundance patterns of components A and C are identical to within the measurement errors, and are basically solar. They can be summarised as mean metal abundances: [M/H]$_{\\rm A} = -0.03\\pm0.08$ and [M/H]$_{\\rm C} = 0.04\\pm0.09$. A carbon deficiency is confirmed for Algol A, with tentative indications for a slight overabundance of nitrogen. The ratio of their abundances is (C/N)$_{\\rm A} = 2.0\\pm0.4$, half of the solar value of (C/N)$_{\\odot} = 4.0\\pm0.7$. The new results derived in this study, including detailed abundances and metallicities, will enable tight constraints on theoretical evolutionary models for this complex system.", "revisions": [ { "version": "v1", "updated": "2015-06-03T14:26:32.000Z" } ], "analyses": { "keywords": [ "algol triple system", "spectroscopically resolving", "rotational velocity", "mean metal abundances", "solar value" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }