Mathematics – Logic
Scientific paper
Apr 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003eaeja......359k&link_type=abstract
EGS - AGU - EUG Joint Assembly, Abstracts from the meeting held in Nice, France, 6 - 11 April 2003, abstract #359
Mathematics
Logic
Scientific paper
Thermodynamic modeling of phase relations and physical properties in the Na2O-TiO2-CaO-FeO-MgO-Al2O3-SiO2-Fe-FeS system and a Monte-Carlo inversion procedure have been used to calculate the density and velocity distribution in the mantle, and possible core radii of the Moon from the mass and moment of inertia constraints. Geophysically allowable core radii and masses were estimated both as a function of crustal thickness/density and mantle density. For an assumed crustal thickness and density of 60 km and 3.0 g/cm3, the largest core radii are found to be 530 km for an FeS (troilite) core (4.1% of total mass), 490 km for a eutectic Fe-FeS core (3.4%), 445 km for an Fe-10 wt%S core (2.9%), and 350 km for an Fe core (2%). A maximum core radius determined for a nearly constant mantle density profile implies a uniform chemical composition throughout the mantle, which is not consistent with the seismic data. The existence of an iron-iron sulfide core of intermediate radius 250-400 km, which fits in the "Procrustean bed" of geophysical restrictions, lend support to a chemically stratified lunar mantle. Recent lunar core information (the Lunar Prospector magnetometer data and Lunar Laser Ranging data) is compatible with the above data and supports the existence of a solid or partially molten core, which has a comparatively small size. The maximum and minimum mantle density and velocity ranges, consistent with the mass and moment of inertia requirements, are estimated. The maximum density values are not greater than 3.52 g/cm3 at depths of the lower mantle. The calculated field of seismic velocities in the zoned lunar mantle shows that over a broad range of mantle compositions, temperatures, and densities the maximum variations are as follows: 60-500 km - 4.23
Kronrod Victor A.
Kuskov Oleg L.
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