This text offers simultaneous treatment of the theory and numerical applications 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 with ellipsoid of revolution; spherical Stokes' problem with ellipsoidal corrections involved in boundary conditions for an anomalous potential; and the altimetry-gravimetry boundary-value problem. Answers to a number of scientific problems, raised and discussed in geodetic literature, can be found here. The book is intended for scientists and advanced graduate students.
By:
Zdenek Martinec Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Country of Publication: Germany Edition: 1998 ed. Volume: 73 Dimensions:
Height: 235mm,
Width: 155mm,
Spine: 13mm
Weight: 379g ISBN:9783540644620 ISBN 10: 3540644628 Series:Lecture Notes in Earth Sciences Pages: 228 Publication Date:20 August 1998 Audience:
College/higher education
,
Professional and scholarly
,
Further / Higher Education
,
Undergraduate
Format:Paperback Publisher's Status: Active
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.