  The light trajectory in the gravitational field of one body at rest with
monopole and quadrupole structure is determined in the second post-Newtonian
(2PN) approximation. The terms in the geodesic equation for light rays are
separated into time-independent tensorial coefficients and four kind of
time-dependent scalar functions. Accordingly, the first and second integration
of geodesic equation can be reduced in each case to only four kind of scalar
master integrals. These integrals can be solved in closed form by recurrence
relations. The 2PN terms of monopole and quadrupole contribute less than $1$
nano-arcsecond to the total light deflection. There are, however, enhanced
terms in the 2PN light deflection, both in case of monopole and quadrupole.
These enhanced 2PN terms are caused by the use of an impact vector which is
indispensable for modeling of real astrometric measurements. In case of grazing
light rays at Jupiter and Saturn, the enhanced 2PN terms, caused by the
quadrupole structure of the body, amount up to 0.95 micro-arcseconds and 0.29
micro-arcseconds, respectively. Thus, the 2PN quadrupole terms are relevant for
high-precision astrometry on the sub-micro-arcsecond scale of accuracy.
