“…To this aim, we have run several N-body simulations changing both the radial, v r , and tangential, v t , velocities with respect to those of the standard orbit (we recall the reader that, for the standard orbit, v r = −44.3 km s −1 and v t = 90 km s −1 ). In particular, for the tangential velocity, we adopted the extreme values, 80 km s −1 and 110 km s −1 , beyond which the orbit fails to give a good representation of the observations, as shown by Odenkirchen et al (2003), and also two intermediate values similar to those of the standard orbit, v t = 89 km s −1 and v t = 91 km s −1 . For the radial velocity we arbitrarily varied the best fit parameter by ±2 km s −1 , since the error on this value is smaller than the one affecting the tangential velocity (Odenkirchen et al 2003).…”