On the mass-ratio distribution of spectroscopic binaries with solar-type primaries

AbstractWe have undertaken a new investigation of the statistical properties of main-sequence binaries, which is a revision and extension of the Duquennoy & Mayor survey of solar-type stars. The analysis has been divided into two parts: the spectroscopic binaries with periods shorter than 10 years, and the long-period systems including visual binaries and common proper motion pairs. In this contribution we present preliminary results regarding the intrinsic mass ratio and period distributions of visual binaries. Our results are strongly limited by small-number statistics, but when combined with the ones found for the spectroscopic binaries, the following results are obtained: (i) the excess of equal-mass binaries, if still present, is less important for long-period systems than for the binaries with P < 50 days; (ii) the period distribution is inconsistent with a flat distribution.

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On the Mass Ratio Distribution of Single-Lined Spectroscopic Binaries

The Astronomical Journal ◽

10.1086/117480 ◽

1995 ◽

Vol 109 ◽

pp. 2670 ◽

Cited By ~ 18

Author(s):

William D. Heacox

Keyword(s):

Spectroscopic Binaries ◽

Mass Ratio ◽

Ratio Distribution

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On the Mass‐Ratio Distribution of Spectroscopic Binaries

The Astrophysical Journal ◽

10.1086/345990 ◽

2003 ◽

Vol 591 (1) ◽

pp. 397-405 ◽

Cited By ~ 42

Author(s):

Dorit Goldberg ◽

Tsevi Mazeh ◽

David W. Latham

Keyword(s):

Spectroscopic Binaries ◽

Mass Ratio ◽

Ratio Distribution

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The mass-ratio distribution of spectroscopic binaries along the main-sequence

Proceedings of the International Astronomical Union ◽

10.1017/s1743921317005415 ◽

2017 ◽

Vol 12 (S330) ◽

pp. 339-340

Author(s):

Henri M. J. Boffin ◽

Dimitri Pourbaix

Keyword(s):

Spectral Type ◽

Binary Systems ◽

Large Fraction ◽

Close Binary System ◽

Spectroscopic Binaries ◽

Close Binary ◽

Mass Ratio ◽

Primary Star ◽

Ratio Distribution ◽

One Step

AbstractBinarity is now a well-established quality affecting a large fraction of stars, and recent studies have shown that the fraction of binaries is a function of the spectral type of the primary star, with most massive stars being member of a close binary system. By cross-matching TGAS with SB9, we went one step further and derived the mass ratio distribution of binary systems as a function of the spectral type of the primary star. This, combined with the binary fraction, provides very strong constraints on star formation and critical input for stellar population models.

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The Mass–Ratio Distribution of Short–Period Binaries

International Astronomical Union Colloquium ◽

10.1017/s0252921100006205 ◽

1992 ◽

Vol 135 ◽

pp. 119-126 ◽

Cited By ~ 2

Author(s):

T. Mazeh ◽

D. Goldberg

Keyword(s):

Numerical Simulations ◽

Mass Distribution ◽

Classical Method ◽

Spectroscopic Binaries ◽

Mass Ratio ◽

Linear Mass ◽

Ratio Distribution ◽

Long Period ◽

Short Period ◽

True Mass

Abstract We present a new algorithm to derive the mass-ratio distribution of an observed sample of spectroscopic binaries. The algorithm replaces each binary of unknown inclination by an ensemble of virtual systems with a distribution of inclinations. We show that contrary to a widely held assumption the orientations of each virtual ensemble should not be distributed randomly in space. A few iterations are needed to find the true mass-ratio distribution. Numerical simulations clearly demonstrate the advantage of the new algorithm over the classical method. We have applied the new algorithm to the recent large sample of G-dwarf spectroscopic binaries, and got a uniform or perhaps a slightly rising linear mass-ratio distribution. This result suggests that the mass-ratio distributions of short-period and long-period binaries are substantially different. It also indicates that the mass distribution of the secondary stars is not the same as that of the single stars.

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Solar Type Contact Binaries - The Initial Mass Ratio Distribution Function.

Symposium - International Astronomical Union ◽

10.1017/s0074180900065426 ◽

1980 ◽

Vol 88 ◽

pp. 517-520

Author(s):

Frans Van 'T Veer

Keyword(s):

Distribution Function ◽

Great Majority ◽

Initial Mass ◽

Mass Ratio ◽

Ratio Distribution ◽

Type Contact ◽

Contact Binaries ◽

Solar Type

From a study of the mass ratio function of magnetically active contact binaries it is shown that the great majority of newly formed systems must possess nearly equal components.

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Arguments Indicating that Ap and Am Stars are Evolved Spectroscopic Binaries

Highlights of Astronomy ◽

10.1017/s153929960000157x ◽

1968 ◽

Vol 1 ◽

pp. 420-431

Author(s):

E.P.J. van den Heuvel

Keyword(s):

Spectroscopic Binaries ◽

Mass Ratio ◽

Helium Burning ◽

Ratio Distribution ◽

Hydrogen Burning ◽

B Stars ◽

Long Period ◽

Galactic System ◽

Roche Limit ◽

Long Period Variables

Roughly three types of evolution of spectroscopic binaries may occur:Case (a): the primary fills its Roche limit already before the end of core hydrogen burning;Case (b): the primary fills its Roche limit after core hydrogen exhaustion but before the onset of helium burning, andCase (c): the primary does not fill its Roche limit before the end of core helium burning.Since long-period variables of Population I as well as Population II may reach radii of 10 AU, case (c) will occur in systems with periods up to 100 years. Since about 50% of the A and B stars are spectroscopic binaries, many evolved spectroscopic binaries are expected to occur in the galactic system. Computations show that, using the mass-ratio distribution of unevolved systems derived by Kuiper, the number of systems with one evolved component is expected to be at least as large as the number of unevolved systems, in the spectral regions A and B.

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