Gaze, the direction of the visual axis in space, is the sum of the eye position relative to the head (E) plus head position relative to space (H). In the old explanation, which we call the oculocentric motor strategy, of how a rapid orienting gaze shift is controlled, it is assumed that 1) a saccadic eye movement is programmed with an amplitude equal to the target's offset angle, 2) this eye movement is programmed without reference to whether a head movement is planned, 3) if the head turns simultaneously the saccade is reduced in size by an amount equal to the head's contribution, and 4) the saccade is attenuated by the vestibuloocular reflex (VOR) slow phase. Humans have an oculomotor range (OMR) of about +/- 55 degrees. The use of the oculocentric motor strategy to acquire targets lying beyond the OMR requires programming saccades that cannot be made physically. We have studied in normal human subjects rapid horizontal gaze shifts to visible and remembered targets situated within and beyond the OMR at offsets ranging from 30 to 160 degrees. Heads were attached to an apparatus that permitted short unexpected perturbations of the head trajectory. The acceleration and deceleration phases of the head perturbation could be timed to occur at different points in the eye movement. 4. Single-step rapid gaze shifts of all sizes up to at least 160 degrees (the limit studied) could be accomplished with the classic single-eye saccade and an accompanying saccadelike head movement. In gaze shifts less than approximately 45 degrees, when head motion was prevented totally by the brake, the eye attained the target. For larger target eccentricities the gaze shift was interrupted by the brake and the average eye saccade amplitude was approximately 45 degrees, well short of the OMR. Thus saccadic eye movement amplitude was neurally, not mechanically, limited. When the head's motion was not perturbed by the brake, the eye saccade amplitude was a function of head velocity: for a given target offset, the faster the head the smaller the saccade. For gaze shifts to targets beyond the OMR and when head velocity was low, the eye frequently attained the 45 degrees position limit and remained there, immobile, until gaze attained the target.(ABSTRACT TRUNCATED AT 400 WORDS)