Inclination of 221 Gaia DR3 non-single stars

The astrometric excess noise contain the orbital motion information, which can be used to constrain the inclination.We aim to constrain the orbital inclination of a binary system by combining radial velocity measurements with the astrometric excess noise from the Gaia DR3 solution. The astrometric excess noise is directly related to the orbital parameters.For a binary system with a radial velocity solution, it can be treated as a function of the orbital inclination.

Using the Gaia nominal scanning law and the estimated centroid uncertainties,we simulate Gaia astrometric epoch observations to reproduce the expected excess noise. By sampling different inclinations and comparing the resulting simulated excess noise with the value reported in Gaia DR3, we can constrain the inclination to a specific interval. We have developed a method to constrain the orbital inclination within a specific range, enabling a more accurate determination of the binary mass, particularly for spectroscopic binaries.