Assessment of anomalous gravitational field of elastic Earth

Details Assessment of anomalous gravitational field of elastic Earth Assessment of anomalous gravitational field of elastic Earth

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rpphm.......63y&link_type=abstract

In its USSR Report: Physics and Mathematics p 63 (SEE N88-15575 07-70) Transl. into ENGLISH from Izvestiya Akademii Nauk Kazakhs

Mathematics

Deformation, Density (Mass/Volume), Earth (Planet), Earth Gravitation, Elastic Properties, Gravitational Fields, Gravity Anomalies, Spheres, Stresses, Conservation Laws, Differential Equations, Mass, Models

Scientific paper

The problem of determining the stress deformed state and density of Earth, simulated by a rotating elastic self-gravitating sphere, was examined. Using the mass conservation law, Lame equations were solved so that the equilibrium figure and force function of the external gravitational field of the model were close to the figure and external Newton potential of the real Earth. As the Earth model, a stratified sphere with centrally symmetric mass distribution was examined. The sphere was represented by an absolutely solid core and a mantle, enclosed by an elastic isotropic lithosphere. Mass distribution in the mantle and lithosphere was derived, based on the characteristic equation of bowels of stars. The selection of the Earth model was based on the preservation of interfaces, values of density jumps at the interfaces, and the prehistory of the gas-dust origin of Earth, as well as on the principal elements of the figure of the Earth, its external gravitational field, and electric potential.

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