Advanced Physical Geodesy

Advanced Physical Geodesy

1980 | HELmut MORITZ
The book "Advanced Physical Geodesy" by Helmut Moritz, published in 1980, is a comprehensive treatise on the advanced aspects of physical geodesy. The content is divided into four main parts: **Part A: General Background** - Discusses the Earth's gravity field and foundational concepts. **Part B: Least-Squares Collocation: Elementary Approach** - Covers elementary methods of least-squares prediction, covariance functions, and their applications in geoid determination, stepwise collocation, and spherical harmonic analysis. **Part C: Least-Squares Collocation: Advanced Aspects** - Explores advanced topics such as Hilbert spaces, stochastic processes on the circle and sphere, and statistical distributions in rotation group space. It also delves into the solution of variational problems and the application of these concepts to geodetic measurements. **Part D: The Geodetic Boundary-Value Problem** - Focuses on the geodetic boundary-value problem, including Molodensky's problem, its linearization, spherical approximation, and various solutions. It also covers practical aspects, convergence of series, and geodynamical effects. The book provides a detailed and rigorous treatment of the subject, making it a valuable resource for researchers and students in physical geodesy.The book "Advanced Physical Geodesy" by Helmut Moritz, published in 1980, is a comprehensive treatise on the advanced aspects of physical geodesy. The content is divided into four main parts: **Part A: General Background** - Discusses the Earth's gravity field and foundational concepts. **Part B: Least-Squares Collocation: Elementary Approach** - Covers elementary methods of least-squares prediction, covariance functions, and their applications in geoid determination, stepwise collocation, and spherical harmonic analysis. **Part C: Least-Squares Collocation: Advanced Aspects** - Explores advanced topics such as Hilbert spaces, stochastic processes on the circle and sphere, and statistical distributions in rotation group space. It also delves into the solution of variational problems and the application of these concepts to geodetic measurements. **Part D: The Geodetic Boundary-Value Problem** - Focuses on the geodetic boundary-value problem, including Molodensky's problem, its linearization, spherical approximation, and various solutions. It also covers practical aspects, convergence of series, and geodynamical effects. The book provides a detailed and rigorous treatment of the subject, making it a valuable resource for researchers and students in physical geodesy.
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