Advanced Physical Geodesy |
Contents
PART A GENERAL BACKGROUND | 1 |
The Earths Gravity Field | 2 |
Reference Ellipsoid and Anomalous Gravity Field | 7 |
Copyright | |
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analytical continuation anomalous potential base functions basic boundary condition boundary-value problem coefficients compute considered convergence corresponding covariance function covariance matrix defined denotes derivative differential earth's surface elements estimate expressed fact formula function K(P,Q geodetic geoid geometrical given grad gradient gravitational field gravitational potential gravity anomalies gravity space gravity vector harmonic function Heiskanen and Moritz Hilbert space Hölder condition infinite inner product integral inverse kernel function Laplace's equation least-squares collocation linear functional mathematical means measurements minimum Molodens Molodensky's problem nm nm nm nonlinear norm normal gravity notation observations obtained operator parameters physical geodesy probability space quantities radius random real number reference ellipsoid Runge's theorem satisfied signal solution spherical harmonics spherical-harmonic statistical stochastic process Stokes telluroid theorem tion transformation Tscherning unit sphere variance zero ах