The effects of receiver and source motion are examined for a cw signal transmitted through a deep ocean at ranges of tens to hundreds of km. Ray theory is used to develop results for multipath signals consisting of a wide variety of combinations of SRBR and RSR ray arrivals. A bilinear sound‐speed profile is assumed for which bottom and surface sound speeds need not be equal, and receiver and source are chosen to move on the surface. Numerical results are presented using time‐dependent total‐field expressions, valid for suitably limited time intervals. Analytical expressions are developed which closely approximate numerical results and which provide general conclusions regarding acoustical effects of receiver–source motion at different ranges. When only SRBR rays can occur, total fields are shown to have significantly different characteristics depending on range, in contrast to the virtually range‐independent total fields which contain RSR rays. When total‐field phase is interpreted in terms of an approximate Doppler shift, the frequency change shows relatively wide variations with both range and total‐field composition. Thus, a given frequency shift at the receiver may be the result of considerably different receiver–source directions and speeds.