A spherical harmonic model of the gravitational field of Venus complet
e to degree and order 50 has been developed using the S-band Doppler t
racking data of the Pioneer Venus Orbiter (PVO) collected between 1979
and 1982. The short wavelengths of this model could only be resolved
near the PVO periapse location (approximately 14-degrees-N latitude),
therefore a priori constraints were applied to the model to bias poorl
y observed coefficients towards zero. The resulting model has a half-w
avelength resolution of 400 km near the PVO periapse location, but the
resolution degrades to greater than 1000 km near the poles. This grav
ity model correlates well with a degree 50 spherical harmonic expansio
n of the Venus topography derived from a combination of Magellan and P
VO data. New tracking data from Magellan's gravity mission should prov
ide some improvement to this model, although a complete model of the V
enusian gravity field will depend on tracking of Magellan after the ci
rcularization of it's orbit using aerobraking.