Relations between the eccentricities e, orbital periods P_orb, and peculiar tangential velocities (v_pec, BJ) for the sample of Galactic BeXRBs. Top: P_orb vs. e plot for the Galactic BeXRB sample. The region that contains the low-eccentricity class of BeXRBs (Pfahl et al. 2002; the region adopted from Townsend et al. 2011) is marked by dashed lines. These systems are marked in red in the current and subsequent graphs for clarity. GX 304-01 and XTE J1906+090 are omitted from the subsequent figure panels because of their unreliable peculiar velocity that is a result of unreliable astrometry. Middle: P_orb vs. tangential peculiar velocity. Bottom: e vs. peculiar tangential velocity.