Chaotic excitation of the orbits of two asteroids (modeled as massless test particles) in a dynamical simulation. Left: the eccentricity of an asteroid at 3 au increases rapidly during a short interval while it is locked in the ﹩{\nu }_{6}﹩ SR. ﹩{\nu }_{6}﹩ occurs when the angle ﹩{\varpi }_{\mathrm{Sat}}-{\varpi }_{\mathrm{Ast}}﹩ librates, where ﹩{\varpi }_{\mathrm{Sat}}﹩ and ﹩{\varpi }_{\mathrm{Ast}}﹩ are the longitudes of pericenter of Saturn and the asteroid, respectively. Right: the inclination of an asteroid at 2.7 au is pumped during temporary capture in the ﹩{\nu }_{16}﹩ SR. ﹩{\nu }_{16}﹩ occurs when the angle ﹩{{\rm{\Omega }}}_{\mathrm{Sat}}-{{\rm{\Omega }}}_{\mathrm{Ast}}﹩ librates, where ﹩{{\rm{\Omega }}}_{\mathrm{Sat}}﹩ and ﹩{{\rm{\Omega }}}_{\mathrm{Ast}}﹩ are the longitudes of ascending node of Saturn and the asteroid, respectively. The asteroids’ semimajor axes remain roughly constant.