Abstract.Excitation spectra of the transitions 2PA --, 3DA and 2PA ~ 3PA in Lille and LiNe collision molecules have been measured in the spectral range 1 5800-17600 cm-1 about the atomic Li2P ~ 3D line by means of two-step laser excitation. Rainbow satellite bands are observed and have been identified as d~e to maxima in the difference potentials 2PX-3DZ, 2P/7-3DZ and 2PA-3PS, that are in turn related to potential barriers in the upper 3PS and 3DZ states. For identification of the satellites as well as understanding origin and shape of the potential barriers, approximate calculations were performed of interaction energies and dipole transition moments, that are based on the Fermi-Omont treatment of higher excited alkali-rare gas interaction. The satellite bands were analysed by means of semiclassical Uniform-Franck Condon calculations of the spectra to yield values for characteristic parameters of the potential barriers. The results for position and height of the 3DZ barrier are found to disagree more or less with values from different theoretical calculations.