Disturbance vector in space from surface gravity anomalies using complementary models

Details Disturbance vector in space from surface gravity anomalies using complementary models Disturbance vector in space from surface gravity anomalies using complementary models

Dec 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phdt........21c&link_type=abstract

Ph.D. Thesis Ohio State Univ., Columbus.

Mathematics

Earth (Planet), Earth Gravitation, Ellipticity, Gravity Anomalies, Perturbation Theory, Topography, Dirac Equation, Models, Spherical Harmonics, Vectors (Mathematics)

Scientific paper

This modeling of the external disturbance vector of the Earth from surface gravity anomaly data is discussed. The low frequency features of the signal are represented in spherical harmonic series. The recovery of the coefficients of the series from the given gravity anomalies is discussed focusing on the use of analytical continuation and ellipsoidal corrections to account for the Earth's topography and ellipticity. The spectrum and data response of the spatial disturbance vector are studied to aid the design of models and experiments. The local models studied to complement the globally valid spherical harmonic model are: (1) the residual topographic model (RTM), (2) the classical integral model, (3) three versions of the Dirac approach to collocation, and finally (4) two versions of the least squares collocation approach.

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