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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Martinec, Zdenek (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
Έκδοση:1st ed. 1998.
Σειρά:Lecture Notes in Earth Sciences, 73
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Boundary-Value Problems for Gravimetric Determination of a Precise Geoid  |h [electronic resource] /  |c by Zdenek Martinec. 
250 |a 1st ed. 1998. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 1998. 
300 |a XII, 228 p. 6 illus.  |b online resource. 
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490 1 |a Lecture Notes in Earth Sciences,  |x 0930-0317 ;  |v 73 
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. 
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. 
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