Evolution of the radio galaxy head position, d(t), with fixed jet power (10³⁸ W) for different host galaxy parameters: ρ_g, 0 = 0.1 m_p/cm³ (blue), ρ_g, 0 = 1 m_p/cm³ (orange), and ρ_g, 0 = 10 m_p/cm³ (green); in all cases ρ_c, 0 = ρ_g, 0/100; (a_g, a_c) = (0.5, 30) kpc (solid), (a_g, a_c) = (1.25, 45) kpc (dashed) and (a_g, a_c) = (2, 60) kpc (dotted). The points indicate results obtained from numerical simulations: the empty circle correspond to a 2D simulation, whereas solid circles represent 3D simulations. The colors indicate which line must be compared with each point (see more details in the text).