Properties of Planet-induced Deviations in the Astrometric Microlensing Centroid Shift Trajectory

Abstract

In this paper, we investigate the properties of the planet-induced deviations in the trajectory of the microlensed source star centroid motion (astrometric curve) and the correlations between the astrometric and photometric deviations. For this, we construct vector field maps of excess centroid shifts. Fromthe investigation of the maps, we find that the astrometric deviation is closely correlated with the photometric one. The astrometric deviation increases as the photometric deviation increases and $\Delta\deltavec$ is directed towards the planet when the light curve has positive deviation and vice versa. We also present excess centroid shift maps for lens systems with various values of the planetary separation, planet/primary mass ratio, and source size to show the changes in the pattern of excess centroid shifts with these parameters.