Models for Arp 220 east (dashed lines) shown along with the observed line profiles at half-beam increments along the disk axis. ¹²CO J = 3 → 2 is shown on top and ¹³CO J = 4 → 3 is shown on the bottom of each panel. The column density of the model in the central position is 1.3 × 10²⁵ H₂ cm⁻² for ¹²CO in all of the models. The column density of the model in the central position is 3.3 × 10²⁴ H₂ cm⁻² for ¹³CO for both the absorber and asymmetric disk models and in the outflow model is 2.3 × 10²⁴ H₂ cm⁻². Moving either to the left or right one panel at a time, the models’ column density decreases to 8.3 × 10²⁴ H₂ cm⁻², 4.2 × 10²⁴ H₂ cm⁻², and 2.0 × 10²⁴ H₂ cm⁻² for all of the ¹²CO models. For ¹³CO, the column density decreases to 2.2 × 10²⁴ H₂ cm⁻², 1.2 × 10²⁴ H₂ cm⁻², and 6.5 × 10²³ H₂ cm⁻² for both the absorber and asymmetric disk models. For the outflow model in ¹³CO, the column density decreases to 1.6 × 10²⁴ H₂ cm⁻², 8.6 × 10²³ H₂ cm⁻², and 4.5 × 10²³ H₂ cm⁻² moving one panel at a time to the left or right. For ¹²CO J = 3 → 2, 1 Jy/beam = 248 K and for ¹³CO J = 4 → 3, 1 Jy/beam = 294.5 K. Used in the fitting, but not shown here, are several points perpendicular to the axis of the disk that allows for the constraint of the height of the disk. This is shown in detail for the asymmetric disk model in Figure 11.