Geodetic Boundary Value Problems in View of the One Centimeter Geoid

by Fernando Sansï (Editor), Reiner Rummel (Editor)

Overview

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.

Product Details

ISBN-13:	9783540626367
Publisher:	Springer Berlin Heidelberg
Publication date:	07/24/1997
Series:	Lecture Notes in Earth Sciences , #65
Pages:	596
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

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.- Shastic 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.