Boundary-Value Problems for Gravimetric Determination of a Precise Geoid

This book offers a simultaneous treatment of the theory and numerical application 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 determin...

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Bibliographic Details
Main Author: Martinec, Zdenek
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1998, 1998
Edition:1st ed. 1998
Series:Lecture Notes in Earth Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Boundary-Value Problems for Gravimetric Determination of a Precise Geoid  |h Elektronische Ressource  |c by Zdenek Martinec 
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300 |a XII, 228 p. 6 illus  |b online resource 
505 0 |a 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 
653 |a Environmental monitoring 
653 |a Radiation Dosimetry and Protection 
653 |a Radiation dosimetry 
653 |a Pollution 
653 |a Atmospheric Science 
653 |a Atmospheric science 
653 |a Environmental Monitoring 
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520 |a This book offers a simultaneous treatment of the theory and numerical application 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 on an ellipsoid of revolution, spherical Stokes' problem with ellipsoidal corrections involved in boundary conditions for an anomalous potential, and the altimetry-gravimetry boundary-value problem. The answer to a number of scientific problems, raised and discussed in geodetic literature over the past years, can be found here. The book is intended for scientists and advanced graduate students