Entire set of Herschel / HIFI H₂O observations of June 24, 2010. Saturn’s sub-observer latitude β = +2°. The 557, 987, 1097, and 1113 GHz lines were observed sequentially at an orbital longitude of Enceladus L = 8°−24°, while the 1670 GHz map was acquired at L = 128°−134°. Observations are here modeled with a simplified, “homogeneous”, torus model whose free parameters are the H₂O column density (N_H2O) and the velocity dispersion of the molecules (V_rms, assumed constant throughout the torus). Green lines are models with V_rms = 2.3 km s^-1 and N_H2O = 1.5 × 10¹³ cm^-2 (1.75 × 10¹³ cm^-2 for the 1670 GHz east, west and south limbs spectra). The red line at 987 GHz has N_H2O = 2.5 × 10¹³ cm^-2. The red line for the 1670 GHz north limb spectrum has N_H2O = 0.75 × 10¹³ cm^-2. For the 1670 GHz map, precise pointing (as indicated as RA, Dec offsets from Saturn’s center as inset) was recovered from the examination of the continuum levels and slight line asymmetries. The inner dotted circle compares the 12.6′′ beam at this frequency with Saturn 17.2′′ × 15.4′′ disk (outer solid circle).