A Methodology for the Description of Multiple Stellar Systems with Spectroscopic Subcomponents

Abstract

We propose a methodology for analyzing triple stellar systems that include a visual double star wherein one of the components is a single-or double-lined spectroscopic binary. By using this methodology, we can calculate the most probable values of the spectroscopic binary's inclination, the angular separation between its components, and its stellar masses, and we can even estimate the spectral types. For a few W UMaYtype eclipsing binaries, stellar radii are also determined. Moreover, we present new formulae for calculating stellar masses depending on spectral type. In this way we have studied 61 triple systems, five of them W UMaYtype eclipsing binaries with low-mass subcomponents. In addition, we study nine quadruple systems, applying the same methodology and considering them twice as a triple system. With the aim of having more accurate orbital elements, we have taken advantage of the occasion to calculate and improve orbits. In this way we have used a new speckle measurement to improve the orbital elements for the binary Hu 506 AB. Also, new visual orbits are calculated for the binaries BAG 10 Aa and LAB 6 Aa. Finally, we give a list of five spectroscopic binaries with more than 0B1 for the maximum angular separation; these should be easily observable as visual binaries by means of interferometric techniques.

Masses and luminosities of O‐ and B‐type stars and red supergiants

“…The complete sample will be available at the CDS/VizieR data base in electronic form. We have checked all stars for information about multiplicity in Simbad and catalogues about spectroscopic and eclipsing binaries, namely the binary catalogues from Pourbaix et al (2007) and Docobo & Andrade (2006) (both for spectroscopic binaries) and from Bondarenko & Perevozkina (1996) and Brancewicz & Dworak (1980) 1 , Surkova & Svechnikov (2004) and Perevozkina (1999) listing eclipsing binaries. For 302 stars, there is not enough data available on the companion(s) to estimate parameters like luminosity correctly for all components, so that we omit them from our list.…”

Binary Stars With Components of Solar Type: 25 Orbits and System Masses

“…• 5 (Docobo & Andrade 2006). The masses and spectral types estimated by the latter authors for the triple system are 0.8 ± 0.1 M (G7V) for component Aa, 0.6 ± 0.1 M (K6V) for component Ab, and 0.8 ± 0.1 M (K0V) for component B.…”

“…Pourbaix et al 2004). According to Docobo & Andrade (2006), the most probable masses and spectral types of the three components are 1.2 ± 0.1 M (F5V) for component Aa, 1.1 ± 0.1 M (F8V) for component Ab, and 1.2 ± 0.1 M (F6V) for component B. The mean radial velocity of the system is −3.15 ± 1.50 km s −1 .…”

A 3D model for α $\alpha$ Gem AB: orbits and dynamics

“…Nevertheless, we can overcome this problem by applying a procedure (Docobo and Andrade 2006) which allows us to obtain many astrometric and astrophysical parameters in order to provide a more detailed description of this system. This approach takes advantage of many implicit relations that arise in a three-body stellar system.…”

“…3, using an ad-hoc version of the methodology designed by Docobo and Andrade (2006) for the study of stellar systems with spectroscopic components, we contribute the values of the semimajor axes and inclinations of orbits 1 and 3, as well as the parallax of the system and, consequently, of the masses and spectral types of the four components. In addition, the dynamical analysis carried out in Sect.…”