Physics
Scientific paper
Dec 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agufm.p42a0548k&link_type=abstract
American Geophysical Union, Fall Meeting 2001, abstract #P42A-0548
Physics
1219 Local Gravity Anomalies And Crustal Structure, 5417 Gravitational Fields (1227), 5420 Impact Phenomena (Includes Cratering), 6225 Mars, 8122 Dynamics, Gravity And Tectonics
Scientific paper
The admittance function Z, a ratio between the geoid anomaly and the topography, has traditionally been determined in the spectral domain. Using wavelets or wavelet-filters, one can decompose locally the geoid and topography in terms of the various length-scales. In this way one can construct a two-dimensional map showing the localized admittance function for various scales. Recently we have developed a simple 2-D isotropic continuous wavelet-like transform for a spherical surface. We have already shown that this analytical-like transform can be successfully applied to the multi-scale processing of the Earth's high-resolution geoid model (EGM96). This technique can be used for calculating the wavelet-filtered version of the geoid and topography for any spherical-like planetary body. We have mapped out over the latitudinal and longitudinal space the spatially localized admittance on Mars for length scales, ranging from 600~km to around 2500~km. Although there have been some localized admittance functions calculated on Mars for individual sites, this is first time that a complete 2-D map has been constructed for the admittance at various scales for the planet Mars. We have found that this novel method offers some advantages in analyzing the nature of different craters formed on the Martian surface long ago and their dynamical origins by the particular sign of the admittance function over the different cratered regions and their geographical relations to the Tharsis region. The results of localized Martian Z trends reveal the presence of 3 different horizontal scales, at 600~km, 1200 to 1500~km and the longest one at around 2500~km.
Kido Manabu
Yuen Dave A.
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