Resonant zones in local velocity space (at the Sun’s position) for different Fourier modes and resonances of the P17 bar, within the epicyclic approximation used in our analytical model (see Sects. 3 and 4). The resonant zones are defined as the regions where the energy parameter k <  1 (see M17 and Sect. 3), i.e. the pendulum associated with each resonance is librating. Shown are the corotation and 2:1 (OLR) resonance for the m = 2 mode of the potential (green and red, respectively); the 3:1 resonance of the m = 3 mode (pink); the 4:1 resonance of the m = 4 mode (blue); and the 6:1 resonance of the m = 6 mode (purple).