Top: Z-coordinate above and below the Galactic plane vs. eccentricity. Bottom: estimated maximum Z-coordinate along the orbit vs. eccentricity. In the bottom panel the stars V CrB and HIP 40374 are located beyond the Y-axis limits, at |Z_max| = 4.4 and 8.8 kpc, respectively. The horizontal dotted lines in both panels at Z ∼ ±0.3 indicate the commonly accepted scale height of the local thin disc. Colour-coding as in Fig. 2.