Transient chaos in the Sitnikov problem

In this paper, we show the important role of chaotic transients in Celestial Mechanics through the Sitnikov problem. We compare the two kinds of chaos, permanent and transient, and provide the chaotic saddle of the Sitnikov problem giving also some important quantitative properties of this fractal set. Additionally, we present a link between the stickiness effect of tori and chaotic scattering.