Comparison of DUDI-heliocentric to results obtained by the direct integration of trajectories. The dust cloud in the left panel, obtained with DUDI-heliocentric, is shown in the plane normal to the asteroid orbital plane and containing the asteroid’s instantaneous heliocentric position vector. The dust was ejected 15 min before t_now from 2000 sources uniformly distributed on the surface of a spherical asteroid with 5 km radius. Radiation pressure is considered, with β set to 0.5, and dust grain re-collisions with the asteroid are taken into account. The lines in the left panel represent the cuts for which number densities are displayed in the right panel.