REGIONAL GRAVITY FIELDS ON VENUS FROM TRACKING OF MAGELLAN CYCLE-5 AND CYCLE-6

From August 1993 to October 1994, Magellan was at heights 180 to 550 k m. Products of the Deep Space Network (DSN) X band tracking are line-o f-sight (LOS) Doppler frequencies and accelerations residual to a 40th degree gravity field. The intrinsic accuracy and abundance of these d ata may be good enough to push the resolution (half wavelength) to les s than spacecraft height. The observation equation to infer gravity fr om LOS accelerations is simple. However, noise and non uniform geometr y necessitate a singular value analysis cutoff or an a priori weightin g; the latter was chosen for computational economy. Further, the non-G aussian character of the noise necessitates a reject limit. Choices ma de were: (1) surface element size 100 km; (2) region size 1600 km; (3) buffer zone width 600 km; (4) reject limit 1 mGal (10(-5) m/s); and ( 5) criterion for a priori weighting recovering a known solution; i.e,, a field transferred from Earth to Venus (probably the most significan t technical advance). This criterion was optimized by a priori increme nts to the normal main diagonal about 10% of the minimum main diagonal element, averaging about 0.5% of the maximal. Best resolutions, defin ed by spectral coherence of 0.7 for the known field, obtained were 1 1 0 hn near the equator (from 51,285 points over Eisila) and 180 km at h igh latitudes (frost 120,231 points over Maxwell and 162,000 over Akna /Freyja). The limitation on resolution near the equator is the cubic p olynomial fitting over 335 kill lengths to determine accelerations. Ho wever, environmental effects were the limiters elsewhere. Root-mean-sq uare (nns) residuals to solutions had negative correlations with space craft altitude and the angle at the Earth between Venus and the Sun, a nd positive correlations with the Earth-Venus distance and latitude on Venus, indicating Venus's influence on its electromagnetic surroundin gs out to several 100 hn, especially on its side toward the Sun. Corre lations with DSN zenith angles and the Kp index of solar activity were positive, but slight. The main characteristic of the enhanced resolut ion of regional gravity fields is greater correlation with the topogra phy at shorter wavelengths. Tile main improvement yet to be made is to generate a full a priori matrix of the regional gravity field.