  The influence of an arbitrary spin orientation on the quadrupolar structure
of an extended body moving in a Schwarzschild spacetime is investigated. The
body dynamics is described by the Mathisson-Papapetrou-Dixon model, without any
restriction on the motion or simplifying assumption on the associated spin
vector and quadrupole tensor, generalizing previous works. The equations of
motion are solved analytically in the limit of small values of the
characteristic length scales associated with the spin and quadrupole variables
with respect to the characteristic length of the background curvature. The
solution provides all corrections to the circular geodesic on the equatorial
plane taken as the reference trajectory due to both dipolar and quadrupolar
structure of the body as well as the conditions which the nonvanishing
components of the quadrupole tensor must fulfill in order that the problem be
self-consistent.
