Abstract
It is reasonable that neighboring coronal loops may obtain similar momentum during a flare. The fast kink oscillations (FKOs) between them are thus mainly influenced by their physical differences. We discuss the dependencies of FKO on the physical properties of coronal loops in a low- thin-tube approximation. From the analysis, we obtain the analytic relationship between the density [] and magnetic field [] of loops and the corresponding period [] and amplitude [] of FKO, which may provide us with a powerful tool to diagnose the physical differences between neighboring loops.