  Most dynamical models of galaxies to date assume axisymmetry, which is not
representative of a significant fraction of massive galaxies. We have built
triaxial orbit-superposition Schwarzschild models of galaxies observed by the
SAMI Galaxy Survey, in order to reconstruct their inner orbital structure and
mass distribution. The sample consists of 153 passive galaxies with total
stellar masses in the range $10^{9.5}$ to $10^{12} M_{\odot}$. We present an
analysis of the internal structures and intrinsic properties of these galaxies
as a function of their environment. We measure their environment using three
proxies: central or satellite designation, halo mass and local $5^{th}$ nearest
neighbour galaxy density. We find that although these intrinsic properties
correlate most strongly with stellar mass, environment does play a secondary
role: at fixed stellar mass, galaxies in the densest regions are more radially
anisotropic. In addition, central galaxies, and galaxies in high local
densities show lower values of edge-on spin parameter proxy \lam. We also find
suggestions of a possible trend of the fractions of orbits with environment for
lower-mass galaxies (between $10^{9.5}$ and $10^{11} M_{\odot}$) such that, at
fixed stellar mass, galaxies in higher local densities and halo mass have
higher fractions of hot orbits and lower fractions of warm orbits. Our results
demonstrate that after stellar mass, environment does play a role in shaping
present-day passive galaxies.
