Admittance Computations from Lunar Gravity and Topography Data

Details Admittance Computations from Lunar Gravity and Topography Data Admittance Computations from Lunar Gravity and Topography Data

Jan 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002mbns.conf....3a&link_type=abstract

The Moon Beyond 2002: Next Steps in Lunar Science and Exploration, p. 3

Statistics

Computation

Lunar Topography, Lunar Gravitation, Data Processing, Mathematical Models, Thickness, Poisson Ratio, Lunar Prospector, Signal Processing

Scientific paper

The admittance transfer function, calculated from the gravity and topography data in the spectral domain, can be used to compute the elastic thickness of a terrestrial planet, the effective thickness of the part of the lithosphere that can support elastic stresses over long time scales. This has been applied extensively in recent years to Venus and Mars due to new datasets. The general form of the admittance at a wavenumber k where g is the gravitational acceleration at the surface, Rhoc is the density of the crust, Rhow the density of the overlying fluid, Rhom the density of the upper mantle, E. Young's modulus and sigma Poisson's ratio for the elastic layer of thickness Taue, z the height of the surface where the gravity measurements are made, tauc the mean crustal thickness, alpha is the radius of the planet and Rhop its mean radius. Recent updates to the historical data set of lunar gravity from the Lunar Prospector data provides for a very rich dataset. Lunar topography from the Clementine lidar was augmented by radio occultations in the polar regions to provide a global field. In the Cartesian Admittance approach, regions of interest on the moon, such as South Pole Aitken, are identified as rectangular section for the purpose of computations based on gravity data derived from either the spherical harmonic expansion of the line-of-sight accelerations.

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