A set (110) of contact eye to stabilize the eye of a patient in a selected system external coordinate position, comprising: a member (120) contacting eye comprising an inner contact surface to contact a front surface of a patient's eye (130), an outer surface and a vacuum port (210) formed within the member (120) contacting eye which can apply a negative pressure between the eye (130) of a patient, to stabilize the position of the eye relative to the contact member (120), a positioning arm (180) for positioning the member (120) contact with the eye at a selected position, with the eye (the contact surface 130) of a stabilized therein, members releasable coupling (410, 415 patient; 412, 417) carried on the contact member (120) and positioning arm (180), members of releasable coupling (410, 415; 412, 417) engages n releasably together with a force sufficient release to allow the contact member (120) and the eye (130) of a stabilized therein be moved by the arm (180) patient, and members of releasable coupling ( 410, 415; 412, 417) are configured to release from each other when a force above exceeds the threshold releasing force is applied by eye or applied to this; wherein one or more pressure sensors (450, 452, 454) are placed in a coupling member (410, 415; 412, 417) and a control unit (115) configured to control the positioning arm (180) wherein, when a threshold force is reached over and onto the eye (130) of the patient by the member (120) contact with the eye, the control unit (115) restricts further movement of the positioning arm (180) and the member (120) contacting eye towards the eye (130) while the eye (130) of the patient is stabilized on the contact member (120), where the force is monitored by the pressure sensors.Un conjunto (110) de contacto con ojo para estabilizar el ojo de un paciente en una posición seleccionada en un sistema de coordenadas externo, que comprende: un miembro (120) de contacto con ojo que comprende una superficie de contacto interi