Combining Hipparcos and Gaia data for the study of binaries: the BINARYS tool

Orbital motion in binary and planetary systems is the main source of precise stellar and planetary mass measurements, and joint analysis of data from multiple observational methods can both lift degeneracies and improve precision. We set out to measure the masses of individual stars in binary systems using all the information brought by the Hipparcos and Gaia absolute astrometric missions. We present BINARYS, a tool which uses the Hipparcos and Gaia absolute astrometric data and combines it with relative astrometry and/or radial velocity measurements to determine the orbit of a binary system. It rigorously combines the Hipparcos and Gaia data (here EDR3), and it can use the Hipparcos Transit Data as needed for binaries where Hipparcos detect significant flux from the secondary component. It also support the case where Gaia resolved the system, giving an astrometric solution for both components. We determine model-independent individual masses for the first time for three systems: the two mature binaries Gl~494 ($M_1=0.584 \pm 0.003 M_{\odot}$ and $M_2=87 \pm 1 M_{\textrm{Jup}}$) and HIP~88745 ($M_1=0.96 \pm 0.02 M_{\odot}$ and $M_2= 0.60^{+ 0.02 }_{- 0.01 } M_{\odot}$), and the younger AB Dor member GJ~2060 ($M_1=0.60 ^{+ 0.06}_{- 0.05} M_{\odot}$ and $M_2=0.45 ^{+ 0.06}_{- 0.05}M_{\odot}$). The latter provides a rare test of evolutionary model predictions at young ages in the low stellar-mass range and sets a lower age limit of 100~Myr for the moving group.