The quasar 3C 345 (z = 0.6) was monitored with very long baseline inte
rferometry (VLBI) in 11 imaging observations at 5, 11, and 22 GHz duri
ng 1984.8-1988.2. The images probe detail of the superluminal radio je
t over distances ranging from 0.12 to 12 mas (0.5-45 pc, for H-0 = 100
km s(-1) Mpc(-1), q(0) = 0.5) from the unresolved radio ''core.'' The
structure of the VLBI jet is well described by two to four distinct c
omponents, but some of the images also indicate the presence of underl
ying jet emission, as seen in recent high dynamic range imaging. The c
omponent motions are analyzed using polynomial fits to the position of
fsets x(t) and y(t) relative to the core, in a form suitable for compa
rison with three-dimensional jet models. Components C2-C5 show superlu
minal motion over the full jet length. The measured speeds increase mo
notonically with time (or distance from the core), from similar to 3c
to similar to 10c, consistent with a jet of constant Lorentz factor (g
amma = 10) bending away from the line of sight. Near the core the jet
ridge line, as traced by the superluminal features, is strongly curved
. Trajectories of successive components differ substantially within 2
mas from the core, but they become parallel at larger distances. The o
uter components show monotonic curvature, but the path of feature C4 s
hows at least two changes in curvature, or ''wiggles.'' We reconstruct
the three-dimensional path of C4 and show that its modest intrinsic b
end is amplified by projection effects: the path starts within similar
to 1 degrees of the line of sight, and then bends smoothly away to si
milar to 4 degrees, consistent with the observed straightening of the
projection of the jet on the sky. We present a model for the radio thr
ough X-ray emission from 3C 345 which self-consistently combines the i
nhomogeneous-jet model of Konigl for the core with homogeneous spheres
for the superluminal components. This (constant Lorentz factor) model
accounts for the flat radio spectrum of the nucleus and the steep spe
ctra of the superluminal components, as derived from the VLBI images,
as well as for kinematic constraints from the proper motions. The best
fit requires a small opening angle for the core of similar or equal t
o 0.degrees 5, which, like the jet bending, is amplified by projection
. Inverse Compton emission from the nucleus is the likely origin of th
e observed soft X-ray flux, and it probably dominates over X-rays from
the superluminal components. To avoid overprediction of X-rays by the
model, the jet axis must lie within 5.degrees 4 of the line of sight,
consistent with, but independent of, constraints from kinematics. The
kinetic luminosity of the parsec-scale jet is sufficient to pou er th
e outer radio halo, but barely if the jet is light; we regard this as
evidence in favor of a heavy jet; i.e., the dynamics are proton domina
ted.