The problem of the reflection and refraction of elastic waves at an interface of relative motion is solved. Total reflection of dilatational and rotational waves can occur for certain ranges of angles of incidence depending on the relative speed of the media. For very high relative speeds, resonance of the reflected and refracted waves occurs for certain angles of incidence, called angles of resonance. For a Poisson material and identical moving media, the relationship of the angle of resonance to the relative Mach number (based on the dilatational wave speed) is worked out and presented in the form of a curve.