Velocity distributions of local (d <  2 kpc) halo stars calculated without the line-of-sight component. For each combination of the cylindrical velocity components a 2D-histogram is shown in the top row, while the asymmetry (defined as in Eq. (21)) with respect to the velocity plotted on the x-axis is shown in the middle row. We compare the maps to the asymmetry originating from a few structures that have been identified in the 6D sample in the bottom row. The asymmetry fleshes out structures that are asymmetric in either ṽ_R or ṽ_ϕ. Structures that are clearly present in the RPM sample, see middle row, are the Helmi Streams (green dots) and Sequoia (red and purple dots).