Abstract: Trajectory corrections to the eikonal approximation for the distortions of the projectile trajectory caused by Coulomb potential only, Coulomb+real part of the optical model potential (OMP), and Coulomb+both real and imaginary parts of the OMP, are studied. The necessity of including the imaginary parts of the OMPs in such corrections is demonstrated with the calculations of the elastic scattering angular distributions of ¹⁶O on¹²C, ⁶³Cu and ²⁰⁸Pb targets at incident energies from 12.5 to 50 MeV/u. Complex trajectory correction is found to be especially important for light and intermediate-mass targets. Root mean square (rms) radii of light-heavy nuclei ^{6−9, 11}Li, ⁹⁻¹²Be, ¹⁰⁻¹⁵B, ^{11, 12, 14−18}C, ^{14, 16−19}N, and ^{15, 17, 19−21}O, were obtained from reanalysis of the total reaction cross sections of these nuclei on a ^natCu target at 25~65 MeV/u incident energies with the complex trajectory corrections. The overall deviation, between the rms radii obtained by Liatard et al. using Glauber model to analyze this data and the rms radii obtained by Ozawa et al. using Glauber model to analyze the high-energy total interaction cross section data with incident energies of about 650~1 020 MeV/u, is 7.7%. The corresponding deviation of the analysis results in this work is 1.9%.