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Boundary-Value Problems for Gravimetric Determination of a Precise Geoid

Zdenek Martinec

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English
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
20 August 1998
This text offers simultaneous treatment of the theory and numerical applications of boundary-value problems related to the determination of a precise geoid from gravimetric data. The following subjects are discussed: topographical effects and their computations in precise gravimetric geoid determination; the downward continuation of a harmonic function; Stokes' problem formulated with ellipsoid of revolution; spherical Stokes' problem with ellipsoidal corrections involved in boundary conditions for an anomalous potential; and the altimetry-gravimetry boundary-value problem. Answers to a number of scientific problems, raised and discussed in geodetic literature, can be found here. The book is intended for scientists and advanced graduate students.
By:  
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication:   Germany
Edition:   1998 ed.
Volume:   73
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 13mm
Weight:   379g
ISBN:   9783540644620
ISBN 10:   3540644628
Series:   Lecture Notes in Earth Sciences
Pages:   228
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Further / Higher Education ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
The stokes two-boundary-value problem for geoid determination.- The zeroth- and first-degree spherical harmonics in the Helmert 2nd condensation technique.- Topographical effects.- Planar approximation.- Taylor series expansion Newton kernel of the.- The effect of anomalous of topographical masses density.- Formulation of the Stokes two-boundary-value problem with a higher-degree reference field.- A discrete downward continuation problem determination for geoid.- The Stokes boundary-value problem on an ellipsoid of revolution.- The external Dirichlet boundary-value problem for the Laplace equation on an ellipsoid of revolution.- The Stokes boundary-value problem with ellipsoidal corrections in boundary condition.- The least-squares solution to the discrete altimetry-gravimetry boundary-value problem for determination of the global gravity model.

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