(Top) Comparison of the angular positions (ecliptic coordinates) of computed (solid line) and observed (stars) IBEX ribbon estimated for the best fit derived in Fig. 1 with SW parameters that best correspond to V2 TS-crossing time in 2007 (SW speed  ~420 km s^-1). (Bottom) Same but for SW parameters that best correspond to the V1 TS-crossing time in 2004 (SW speed  ~466 km s^-1). (This figure is available in color in the electronic form.)