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Boundary-Value Problems for Gravimetric Determination of a Precise Geoid

Series: Lecture Notes in Earth System Sciences Volume: 73

By: Z Martinec

223 pages, 51 figs, 3 tabs


Paperback | Dec 1998 | #84909 | ISBN: 3540644628
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NHBS Price: £64.99 $88/€73 approx

About this book

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.


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 of the Newton Kernel; the effect of anomalous density of topographical masses; formulation of the Stokes two-boundary value problem with a higher degree reference field; a discrete downward continuation problem for geoid determination; the Stokes boundary value problem on an ellipsoid of revolution.

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