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We present orbital elements for twenty-two single-line binaries, nine of themstudied for the first time, determined from a joint spectroscopic andastrometric solution. The astrometry is based on interferometric measurementsobtained with the HRCam Speckle camera on the SOAR 4.1m telescope at CerroPachon, Chile, supplemented with historical data. The spectroscopicobservations were secured using Echelle spectrographs (FEROS, FIDEOS and HARPS)at La Silla, Chile. A comparison of our orbital elements and systemicvelocities with previous studies, including Gaia radial velocities, show therobustness of our estimations. By adopting suitable priors of the trigonometricparallax and spectral type of the primary component, and using a Bayesianinference methodology developed by our group, we were able to estimate massratios for these binaries. Combining the present results with a previous studyof other single-line from our team we present a pseudo mass-to-luminosityrelationship based on twenty three systems (45 stars) in the mass range 0.6 <=M_Sun <= 2.5. We find a reasonable correspondence with a fiducialmass-to-luminosity relationship. We conclude that our methodology does allow toderive tentative mass ratios for this type of binaries.

Mass ratio of single-line spectroscopic binaries with visual orbits using Bayesian inference and suitable priors