red, and blue dots, respectively. The mass of the Sun is 1 solar mass, the initial velocities are the same as in Fig. \[fig:rtbpl5\] and the white cross again shows the position of the $L_5$ point in RTBP. The filamentary fractal structure indicates the complex dynamics. (b) Number of surviving particles in time. The log-lin inset indicates the exponential decay corresponding to fast escape with rate $\kappa\approx 0.005$ while the linear fit to the tale of the log-log plot shows the algebraic decay for longer times, $z\approx 0.9.$[]{data-label="fig:diffesctime"}](fig3a "fig:"){width="80mm"}\
![RFBP. (a) Initial positions of non-escaped trajectories for $T=$400, 1300, and 13000 days, black, red, and blue dots, respectively. The mass of the Sun is 1 solar mass, the initial velocities are the same as in Fig. \[fig:rtbpl5\] and the white cross again shows the position of the $L_5$ point in RTBP. The filamentary fractal structure indicates the complex dynamics. (b) Number of surviving particles in time. The log-lin inset indicates the exponential decay corresponding to fast escape with rate $\kappa\approx 0.005$ while the linear fit to the tale of the log-log plot shows the algebraic decay for longer times, $z\approx 0.9.$[]{data-label="fig:diffesctime"}](fig3b "fig:"){width="80mm"}

![image](fig4a){width="55mm"} ![image](fig4b){width="55mm"} ![image](fig4c){width="55mm"}

The initial points of non-escaped 