Sensitivity of 1670 GHz east and west limb line profiles to (top) torus central position and (bottom) gas dispersion velocity. Top: model calculations, performed here for a radially infinitely narrow torus located at 2, 3, 4, and 6 Saturn radii (RS), confirm that the absorbing material is located near 4 RS, and not e.g. in Saturn’s main rings at <2 RS. Bottom: model calculations for several values of molecule dispersion velocity Vrms. Best fits are obtained for Vrms = 2.3 km s-1 (resp. 2.0 km s-1) for the east (resp. west) limb spectrum. Dynamically colder models with Vrms = 0.8 km s-1 or Vrms = 0.5 km s-1 (typical of plume material ejection conditions) produce too narrow absorptions.