Distributions of the simulated perpendicularity condition in the IBEX-ribbon-center frame for characteristic phases of time-dependent simulations. Black circles show the position of the observed IBEX ribbon, shades of red – color coded values of the simulated distribution of (see the colorbar, only are visible due to our definition of the colorscale), and blue circles – the minimum of the simulated distribution. The simulated distribution of in the sky is computed at a constant radial distance of 50 AU from the HP (HP2 definition), as inferred from Fig. 6. The initial condition in shown in panel a. Panel b: distribution of the perpendicularity condition for the solar cycle simulation at the time 15.2 years, corresponding to the first maximum of the blue curve in Fig. 15. Panel c: corresponds to the LISM-fluctuation simulations at the time 29.2 years, i.e., to the minimum of the orange curve in Fig. 15. Panel d: simulated distribution of the perpendicularity condition for the maximum of the orange curve in Fig. 15 that occurs at the simulation time 78.7 years.