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...

Full description

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
Table of Contents:
  • 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