Boundary-Value Problems for Gravimetric Determination of a Precise Geoid

• Main Author: Martinec, Zdenek (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Earth Sciences, 73
• Subjects: Atmospheric sciences.; Air pollution.; Radiation protection.; Radiation-Safety measures.; Environmental monitoring.; Atmospheric Sciences.; Atmospheric Protection/Air Quality Control/Air Pollution.; Effects of Radiation/Radiation Protection.; Monitoring/Environmental Analysis.

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...

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.