  For hard ellipsoids of revolution we calculate the phase diagram for the
idealized glass transition. Our equations cover the glass physics in the full
phase space, for all packing fractions and all aspect ratios X$_0$. With
increasing aspect ratio we find the idealized glass transition to become
primarily be driven by orientational degrees of freedom. For needle or plate
like systems the transition is strongly influenced by a precursor of a nematic
instability. We obtain three types of glass transition lines. The first one
($\phi_c^{(B)}$) corresponds to the conventional glass transition for spherical
particles which is driven by the cage effect. At the second one
($\phi_c^{(B')}$) which occurs for rather non-spherical particles a glass phase
is formed which consists of domains. Within each domain there is a nematic
order where the center of mass motion is quasi--ergodic, whereas the
inter--domain orientations build an orientational glass. The third glass
transition line ($\phi_c^{(A)}$) occurs for nearly spherical ellipsoids where
the orientational degrees of freedom with odd parity, e.g. 180$^o$ flips,
freeze independently from the positions.
