to be populated in a less coherent manner than in core galaxies.

Core Rotation
-------------

Figure \[fig:intrinsic\] shows the central orbital structure of our SINFONI galaxies, split up into the [*intrinsic*]{} velocity dispersion anisotropy $$\label{eq:beta}
\beta \equiv 1 - \frac{\sigma_\mathrm{tang}^2}{\sigma_r^2},$$ with $$\label{eq:sigtang}
\sigma_\mathrm{tang}^2 \equiv (\sigma_\vartheta^2 + \sigma_\varphi^2)/2$$ (panels (a) and (b)) and the stellar rotation component (panels (c) and (d)). The six core galaxies show little to no rotation in their central regions, but all five power-law galaxies rotate with values of $\sim 0.5 - 1.5$ times the local velocity dispersion $\langle \sigma
\rangle$. Hence, in core galaxies, ${\beta_\mathrm{rot}}\sim \beta$ and the similarity in the central orbital structure is due to a homology in the intrinsic velocity dispersion tensor. In power-law galaxies, ${\beta_\mathrm{rot}}< \beta$ and a significant fraction of the tangential anisotropy ($\Delta \beta \sim 0.2 - 0.4$) comes from stars that carry net angular momentum. The remaining anisotropy in the velocity dispersion tensor is more similar to that of core galaxies. Yet, even after separating out the rotating component, power-law galaxies still have a slightly more tangential orbit distribution.

![image](f2.eps)

The Importance of Dark Matter Halos {#subsec:dm}
-----------------------------------

Figure \[fig:nodm\] is similar to Figure \[fig:dm\], but shows the distribution 