Gravity Inversion and Integration


Book Description

This book contains theory and applications of gravity both for physical geodesy and geophysics. It identifies classical and modern topics for studying the Earth. Worked-out examples illustrate basic but important concepts of the Earth’s gravity field. In addition, coverage details the Geodetic Reference System 1980, a versatile tool in most applications of gravity data. The authors first introduce the necessary mathematics. They then review classic physical geodesy, including its integral formulas, height systems and their determinations. The next chapter presents modern physical geodesy starting with the original concepts of M.S. Molodensky. A major part of this chapter is a variety of modifying Stokes’ formula for geoid computation by combining terrestrial gravity data and an Earth Gravitational Model. Coverage continues with a discussion that compares today’s methods for modifying Stokes’ formulas for geoid and quasigeoid determination, a description of several modern tools in physical geodesy, and a review of methods for gravity inversion as well as analyses for temporal changes of the gravity field. This book aims to broaden the view of scientists and students in geodesy and geophysics. With a focus on theory, it provides basic and some in-depth knowledge about the field from a geodesist’s perspective. /div







Technical Abstract Bulletin


Book Description










A Window on the Future of Geodesy


Book Description

These proceedings represent the worldwide picture of the state of the art of geodesy. The volume comprehensively covers the most recent results and supplies a good review of the new ideas developing in the field, opening a window to the future of geodesy.










Gravimetric Geodesy Free of Density Estimates Through Analysis of Discrete Gravity Data


Book Description

For many years, geodesists have been trying to find the method which would make it possible to reduce gravity data from the surface of the earth down to a reference sphere (or ellipsoid) in such a way that the actual boundary value problem could be properly solved in an explicit way. Early methods failed (except for low-order harmonic determination) because there is no way of determining the density. Recent studies of Molodensky indicated that there is no general way of making an analytical continuation of the gravity field. Undoubtedly, these studies are correct if we regard the gravity field in the classical way as a uniquely defined continuum. In the present report, however, the gravity field is defined by a finite set of discrete points all in conformity with the actual circumstances. A solution that fits all used points always exists. For this solution, a simple integral equation is solved by the aid of either regression analysis of harmonic analysis. The gravity reduction problem is thereby solved for the first time without making use of any hypotheses. The solution is derived from adjacent gravity data, using a non-iterative method. (Author).