Distributions of the azimuthal velocity v_φ of two samples of HVSs that have traveled in gravitational potentials whose DM halos have the same geometrical shape but differ by 90° in azimuthal orientation. Left panel: distributions of v_φ indistinguishable from one another when the stars from all the quadrants are considered. Right panel: distributions of v_φ manifestly different when we consider the HVSs located in the first quadrant of the x–y plane (0° < φ < 90°) only. The HVSs in the first quadrant have positive (negative) v_φ when q_y = 1.4 (0.7). The distributions were generated with the same initial conditions (mock catalogs A) to highlight the effect of the different geometries of the DM halo.