Galactic orbits for J1903-0023 (left panel) and J0725-2351 (right panel), in a Galactic Cartesian coordinate system with the z-axis pointing to the Galactic north pole, calculated back in time for 15 Gyr. The Galactic centre is marked with a plus sign, the location of the Sun at x = −8.33 ± 0.35 kpc is shown as an orange circle. J1903-0023 has a peculiar trajectory with no significant motion in the Z-direction, while that of J0725-2351 is characteristic for a halo star.