Abstract
For optimal pursuit of a visual target one should avoid rotation about the line of sight. It is shown that the structure of the optic flow during self-motion imposes certain restrictions on eye and head orientation as a function of the gaze direction, if rotation of the eye about the line of sight is avoided. These restrictions result in different strategies for optimal pursuit. Directing the head towards the aim point of the self-motion in combination with the well known kinematic constraint on eye movement (Listing's law) is one such possibility.