The three adaptive filtering algorithms (Singer, CS, and IMM) are applied on relative navigation. The capability of the three are analyzed and compared according to the simulation. The simulation result shows that, CS mode algorithm and IMM algorithm have the obvious advantages on Relative navigation. Besides, we pointed out and validated that the effects of maneuvering parameters in Singer mode and CS mode on relative navigation, analyzed the problem of IMM algorithm on relative navigation, and put forward our resolvent.