This paper deals with some improvements on the accuracy of the laboratory model, presented in a previous work, for the simulation of the attitude control and pointing of an optical instrument connected to the Space Station, or other space facility, via a tether (2 to 10 Km long), mounted on a platform. The bidimensional model of this system was realized using a small platform equipped with a DC servo-motor and a screw bearing, floating with a small inclination angle, on an air table, and connected, like a pendulum, through a tether, to a second servo-motor on the wall. In the previous work the attitude control was based on the tracking of two points fixed on the model of the platform with one CCD camera and moving the attachment point on it. The new experimental apparatus, based on two CCD cameras, an optical system of mirrors and a He-Ne laser beam, has been assembled in order to better simulate the control system for a telescope mounted on the platform. The tracking is realized via a computer based vision system which acquires and locks a laser spot projected onto a screen representing the field of view of the telescope. The control loop has been optimized taking into account the disturbances produced by the simulation of the effect of the tether dynamics by means of a second motor which moves the wall tether end with a proper law, and reproducing the slewing manoeuvre effect of the telescope, on the dynamics of the system.