Advanced Physical Geodesy

Advanced Physical Geodesy

1980 | HELMUT MORITZ
Advanced Physical Geodesy by Helmut Moritz and Herbert Wichmann Verlag Karlsruhe, published by Abacus Press, Tunbridge Wells, Kent in 1980. The book is divided into four parts. Part A provides general background on the Earth's gravity field, reference ellipsoid, spherical harmonics, Hilbert space, normed spaces, and convergence of spherical harmonics. Part B introduces least-squares collocation with elementary approaches, covering prediction, covariance functions, collocation, invariance properties, applications to geoid determination, accuracy, and stepwise collocation. Part C delves into advanced aspects of least-squares collocation, including Hilbert spaces with kernel functions, geodetic measurements, linearization, variational principles, stochastic processes on the circle and sphere, and statistical distributions in rotation group space. Part D focuses on the geodetic boundary-value problem, discussing Molodensky's problem, linearization, spherical approximation, solutions by analytical continuation, convergence of series, terrain correction, practical aspects, existence and uniqueness, Hörmander's results, gravity space approach, and geodynamical effects. The book also includes references and an index. The content is comprehensive, covering theoretical and practical aspects of physical geodesy, including mathematical methods, statistical models, and geodetic problems. It serves as a reference for researchers and students in geodesy, geophysics, and related fields.Advanced Physical Geodesy by Helmut Moritz and Herbert Wichmann Verlag Karlsruhe, published by Abacus Press, Tunbridge Wells, Kent in 1980. The book is divided into four parts. Part A provides general background on the Earth's gravity field, reference ellipsoid, spherical harmonics, Hilbert space, normed spaces, and convergence of spherical harmonics. Part B introduces least-squares collocation with elementary approaches, covering prediction, covariance functions, collocation, invariance properties, applications to geoid determination, accuracy, and stepwise collocation. Part C delves into advanced aspects of least-squares collocation, including Hilbert spaces with kernel functions, geodetic measurements, linearization, variational principles, stochastic processes on the circle and sphere, and statistical distributions in rotation group space. Part D focuses on the geodetic boundary-value problem, discussing Molodensky's problem, linearization, spherical approximation, solutions by analytical continuation, convergence of series, terrain correction, practical aspects, existence and uniqueness, Hörmander's results, gravity space approach, and geodynamical effects. The book also includes references and an index. The content is comprehensive, covering theoretical and practical aspects of physical geodesy, including mathematical methods, statistical models, and geodetic problems. It serves as a reference for researchers and students in geodesy, geophysics, and related fields.
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Understanding Advanced Physical Geodesy