Title: FREE-FREE TRANSITIONS OF AN ATOMIC ELECTRON INDUCED BY A PROJECTILE ION Author: Sh.D. Kunikeev Affiliation: Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119899 Moscow, Russia Summary: Effects of electron rescattering in continuous spectrum occuring in the combined field of target and projectile ions are considered. We perform the calculation of H${}^+$, He${}^{2+}+$H, He ionizing collisions with the three-body continuum state that includes effects of electron rescattering in continuum.