The Gravity Field Of The Earth From Classical And Modern Methods

International Geophysics Series, Volume 10: The Gravity Field of the Earth: From Classical and Modern Methods explores the theory of the gravity field of the earth based on both classical and modern methods. Classical method involves observations of gravity taken over the earth's surface, while the modern method uses observations of variation of orbital elements of artificial satellites caused by the gravity field of the earth. This book is organized into two parts encompassing 12 chapters. Part I describes the solution of physical problems that are treated as Dirichlet problems or solved by means of integral equations. This part also deals with the determination of the geoid form from ground gravity measurements using the Stokes formula. The method of obtaining the Stokes formula by means of an integral equation is also outlined. Part II contains modern mathematical techniques developed to utilize the observations of artificial satellites for geodetic purposes. This book could be used as a textbook for students in the fields of geodesy, geophysics, or astronomy.

An essential book for all students and scientists in the field, Part A of Geophysical Field Theory and Method describes the physical and mathematical principles of geophysical methods, specifically the behavior of gravitational, electrical, and magnetic fields. The broader use of these methods underlines the far-reaching appeal of this book. Oil and mineral prospecting, solving groundwater and engineering problems, and well-logging are just some of the activities which involve geophysical methods. Parts B and C will be devoted to the theory of fields and applied to electromagnetic, seismic, nuclear, and geothermal methods. Presents physical principles of geophysical methods Covers physical laws which govern field behavior and their areas of application Examines the influence of a medium on a field, and the distribution of field generators Presents formulation of conditions when physical laws cannot be used directly for field calculations Examines systems of field equations and their neccesity when some of the field generators are unknown Explains the formulation of boundary value problems and their importance in determining the field Features auxiliary fields and their role in field theory Presents approximate methods of field calculation

MAGNETIC FIELD OF THE EARTH

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