Local harmonic analysis of planetary Doppler gravity data

Details Local harmonic analysis of planetary Doppler gravity data Local harmonic analysis of planetary Doppler gravity data

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985em%26p...32..173k&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 32, April 1985, p. 173-181.

Physics

Doppler Effect, Gravity Anomalies, Planetary Gravitation, Spherical Harmonics, Fourier Series, Line Of Sight, Lunar Gravitation, Mars (Planet), Spline Functions, Venus (Planet)

Scientific paper

Planetary gravity fields represented in terms of spherical harmonics or surface mass distributions do not have the necessary resolution to permit gravity analysis of local features. Doppler gravity maps representing residual line-of-sight (LOS) accelerations have much greater resolution but cannot be used for conventional geophysical analysis due to the geometric distortions inherent in LOS gravity patterns and lack of normalization of LOS data. However LOS gravity data may be converted to vertical gravity anomalies by expressing the anomalous local gravitational potential over small rectangular areas in terms of a modified double Fourier series constrained by local Doppler gravity data. The vertical derivative of the resulting potential yields the vertical gravity components at desired altitudes. The resolution of the resulting normalized free air anomaly maps is limited only by that of the original Doppler gravity data. Extended gravity maps may be constructed this way using a moving window approach. It is anticipated that much of the lunar frontside can be mapped at resolutions ranging from 1 to 4 deg of arc.

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