Left panel: distribution of the velocities of our sample of solar sibling candidates in the Toomre diagram. Right panel: Z_max (maximum height from the Galactic plane) vs. R_m (mean orbital radius) for the sample stars. The color bar corresponds to the orbital eccentricities of the stars. The position of the Sun is marked by the solar symbol. The four best-fit solar sibling candidates are indicated by their names in the plots.