Top panel: evolution of the median (black) and the first and third quartiles (lower and upper borders of the gray area) of cosi_E versus the semi-major axis. Middle panel: evolution of the maximum distance d (see text for details) versus semi-major axis. Bottom panel: evolution of α_r (see text for details) versus heliocentric distance. The averaged semi-major axis (on the right vertical axis) versus the heliocentric distance r is given by the gray line. The data are obtained from the evolution of the I0 proto-Oort cloud for 4 Gyr.