Figure 47.
Density distribution dependence of rotation curve. Compared are the rotation curves of eight axisymmetric objects: (i) the bi-exponential object, (ii) the flared bi-exponential object, (iii) the radially exponential and the vertically secant-hyperbolic-function-squared object, (iv) the radially exponential and the vertically Gaussian object, (v) the boxy object, (vi) the differenced modified exponential spheroid, (vii) the differenced Gaussian spheroid, and (viii) the Gaussian oval toroid. Plotted are the rotation curves when a = 1 and c = 0.3 while the velocity V and the radius R are normalized by the maximum speed Vmax and the location of maximum speed Rmax, respectively. Once this normalization is applied, almost invisible is the difference among the first four objects.