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A harmonic analysis of lunar topography
Authors:Bruce G Bills  Alfred J Ferrari
Institution:Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, California 91125, USA;Jet Propulsion Laboratory, Pasadena, California 91103, USA
Abstract:A global lunar topographic map has been derived from existing Earth-based and orbital observations supplemented in areas without data by a linear autocovariance predictor. Of 2592 bins, each 5° square, 1380 (64.7% by area) contain at least one measurement. A spherical harmonic analysis to degree 12 yields a mean radius of 1737.53 ± 0.03 km (formal standard error) and an offset of the center of figure of 1.98±0.06 km toward (19±2)°S, (194±1)°E. A Bouguer gravity map, derived from a 12-degree free-air gravity model and the present topography data, is presented for an elevation of 100 km above the mean surface. It is confirmed that the low-degree gravity harmonics are determined primarily by surface height variations and only secondarily by lateral density variations.
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