  Including the orbital off-diagonal spin and charge condensates in the self
consistent determination of magnetic order within a realistic three-orbital
model for the $4d^4$ compound $\rm Ca_2 Ru O_4$, reveals a host of novel
features including strong and anisotropic spin-orbit coupling (SOC)
renormalization, coupling of strong orbital magnetic moments to orbital fields,
and a magnetic reorientation transition. Highlighting the rich interplay
between orbital geometry and overlap, spin-orbit coupling, Coulomb
interactions, tetragonal distortion, and staggered octahedral tilting and
rotation, our investigation yields a planar antiferromagnetic (AFM) order for
moderate tetragonal distortion, with easy $a-b$ plane and easy $b$ axis
anisotropies, along with small canting of the dominantly $yz,xz$ orbital
moments. With decreasing tetragonal distortion, we find a magnetic
reorientation transition from the dominantly planar AFM order to a dominantly
$c$ axis ferromagnetic (FM) order with significant $xy$ orbital moment.
