Stellar parameters of the two binary systems: HIP 14075 and HIP 14230

TL;DR

This study determines detailed stellar parameters for two old binary systems using synthetic photometry, revealing their masses, radii, ages, and evolutionary states with high precision.

Contribution

The paper introduces a synthetic photometric method to accurately derive stellar parameters of binary systems, validated with Gaia parallaxes and evolutionary models.

Findings

HIP 14075 is approximately 11.5 Gyr old.

HIP 14230 is approximately 3.5 Gyr old.

Both systems are older than 4 Gyr.

Abstract

We present the stellar parameters of the individual components of the two old close binary systems HIP\,14075 and HIP\,14230 using synthetic photometric analysis. These parameters are accurately calculated based on the best match between the synthetic photometric results within three different photometric systems with the observed photometry of the entire system. From the synthetic photometry, we derive the masses and radii of HIP\,14075 as: $\mathcal{M}^A=0.99\pm0.19\, \mathcal{M_\odot}$, $R_{A}=0.877\pm0.08\, R_\odot$ for the primary and $\mathcal{M}^B=0.96\pm0.15\, \mathcal{M_\odot}$, $R_{B}=0.821\pm0.07\, R_\odot$ for the secondary, and of HIP\,14230 as: $\mathcal{M}^A=1.18\pm0.22\, \mathcal{M_\odot}$, $R_{A}=1.234\pm0.05\, R_\odot$ for the primary and $\mathcal{M}^B=0.84\pm0.12\, \mathcal{M_\odot}$, $R_{B}=0.820\pm0.05\, R_\odot$ for the secondary, both systems depend on Gaia parallaxes. Based on the positions of the components of the two systems on a theoretical Hertzsprung- Russell diagram, we find that the age of HIP 14075 is $11.5\pm2.0$\,Gyr and of HIP 14230 is $3.5\pm1.5$\,Gyr. Our analysis reveals that both systems are old close binary systems ($\approx >$ 4 Gyr). Finally, the positions of the components of both systems on the stellar evolutionary tracks and isochrones are discussed.