IP sorting for all the power law runs

Got a little time during nap today to make more plots.  Here are plots comparing the fate of particles in different initial positions for four different runs:  $\rho \propto x^{-1/2}$ (you saw these plots yesterday), $\rho \propto x^{-0.8}$, $\rho \propto x^{-0.3}$  and $\rho \propto x^{+0.5}$.  I made the log and polar versions of the plots, but not the zoom ins.  Here they are, labels are at the top.

 

 

 

General trends:

1)  The steeper the initial power law slope, the farther out the origin of the innermost particles at the final configuration.
2)  The steeper the initial power law slope, the more asymmetric the final configuration is in phase space.
3)  If the density of the initial object increases with radius rather than decreasing, it is the outermost particles that wind up in the middle, and the innermost wind up around the ouside in phase space.
4)  For runs with a negative power law slope, although they maintain their density scaling in the intermediate range, it seems like almost none of the particles collapse in farther than the position of the innermost particle at the beginning of the run (only in the very shallow case do particles make it farther in).