Geodetic Boundary Value Problems in View of the One Centimeter Geoid
Published on 25. June 1997
Book
Paperback/Softback
XIX, 596 pages
978-3-540-62636-7 (ISBN)
Description
The precise determination of the figure of the earth and its exterior gravitational field requires the solution of the geodetic boundary value problem (GBVP). Recently, a whole series of new measurement techniques has became available, in particular air- and spaceborne methods. They will make its solution much more complete and accurate and will contribute to a better understanding of ocean circulation and of the earth's interior. The book consists of contributions from leading scientists presented at an international summer school. It covers all aspects of the solution of the GBVP, from a mathematical basis via geodetic modeling to its relationship with advanced measurements. It provides three foundations to determine the geoid at a 1-cm precision level.
More details
Series
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
79 s/w Abbildungen
XIX, 596 p. 79 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 34 mm
Weight
925 gr
ISBN-13
978-3-540-62636-7 (9783540626367)
DOI
10.1007/BFb0011699
Schweitzer Classification
Content
Potential theory.- Boundary value problems for harmonic random fields.- Free boundary problems.- Formulation and linearization of boundary value problems: From observables to a mathematical model.- The hierarchy of geodetic BVPs.- GBVP-Classical solutions and implementation.- Topographic effects in gravity field modelling for BVP.- Global models for the 1cm geoid - Present status and near term prospects.- An introduction to airborne gravimetry and its boundary value problems.- Spherical spectral properties of the earth's gravitational potential and its first and second derivatives.- Satellite altimetry, ocean dynamics and the marine geoid.- Stochastic boundary value problem theory: An elementary example.- Variational methods for geodetic boundary value problems.- Topics on boundary element methods.- Solving geodetic boundary value problems with parallel computers.- Application of boundary value techniques to satellite gradiometry.- The polar gap.- European capabilities and prospects for a spaceborne gravimetric mission.