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Book Gravity Field and Dynamics of the Earth

Download or read book Gravity Field and Dynamics of the Earth written by Milan Bursa and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the Czech edition was published four years ago, the authors have revised the original text tobring it up to date. During these four years, thanks to satellite altimetry the accuracy of the global descrip tion of the gravity field (model GEM-T2), of the fundamental astro geodetic constants, of the principal moments of inertia of the Earth and, in particular, of their differences, of the precession constant, and of a number of other dynamical parameters of the Earth have been improved. The authors have included most of these improvements in the revised English edition. They have, of course, also made factual, formal and other corrections and have modified some of the figures. Additions to the index and references have also been made. Praha, Czech Republic M. BuRSA and K. PF:c August 1993 Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Fundamentals of Determining the Parameters 1 Defining the Earth's Gravitational Field by Satellite Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1. 1 Satellite Equations of Motion . . . . . . . . . . . . . . . . . 6 1. 2 Perturbing Function and Perturbing Potential . . . . 23 1. 3 General Definitions . . . . . . . . . . . . . . . . . . . . . . . . . 23 1. 3. 1 Perturbing Gravitational Potential of the Earth in 1. 3. 2 Outer Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Perturbations due to the Moon and the Sun . . . . . . 27 1. 3. 3 Solution of the Perturbed Motion . . . . . . . . . . . . . . 28 1. 4 1. 5 Transformation of the Perturbing Gravitational Potential into the Function of the Satellite's Orbital Elements . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 1. 5. 1 Transformation of Potential Rs$ . . . . . . . . . . . . . . . 32 1. 5. 2 Transformation of Potentials L1 Vs»' L1 Vso . . . . . . . .

Book The External Gravity Potential on the Earth and Gravity Dependent Geodetic Paramete S

Download or read book The External Gravity Potential on the Earth and Gravity Dependent Geodetic Paramete S written by Urho A. Uotila and published by . This book was released on 1972 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: ;Contents: Integration of aerial gravity measurements with terrestrial data; Geodetic and geophysical applications of measured second and higher order horizontal and vertical gravity gradients; Normal earth models and those using topography and isostasy; Boundary-value problem of physical geodesy; Convergence of series and iterative procedures in physical geodesy; A general theory of the least squares; New orbital analysis technique for the determination of the gravity field from satellite data; Combination of general solution for potential coefficients and station coordinates with gravity data, deflection of the vertical and undulation information; The truncation and aliasing errors of spherical harmonic expansion; Satellite altimetry data in the determination of the earth's external gravitational field.

Book Encyclopedia of Solid Earth Geophysics

Download or read book Encyclopedia of Solid Earth Geophysics written by D.E. James and published by Springer Science & Business Media. This book was released on 1989-11-30 with total page 1299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consisting of more than 150 articles written by leading experts, this authoritative reference encompasses the entire field of solid-earth geophysics. It describes in detail the state of current knowledge, including advanced instrumentation and techniques, and focuses on important areas of exploration geophysics. It also offers clear and complete coverage of seismology, geodesy, gravimetry, magnetotellurics and related areas in the adjacent disciplines of physics, geology, oceanography and space science.

Book External Gravity Potential of the Earth  Gravimetric Quantities and Geodetic Parameters Affected by Gravity

Download or read book External Gravity Potential of the Earth Gravimetric Quantities and Geodetic Parameters Affected by Gravity written by Urho Antti Kalevi Uotila and published by . This book was released on 1975 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subject matter includes such items as the use of gravity gradient measurements, the convergence problems in physical geodesy, least-squares collocation theory and applications, combination of satellite and gravimetry data, inversion of large symmetric matrices, covariance functions, anomaly degree variances, mass distribution in the earth's interior, role of altimeter data in the determination of mean gravity anomalies, refinement of modeling techniques for the determination of geopotential coefficients and computational techniques in gravimetry. Suggestions for further studies are made.

Book External Gravity Potential of the Earth

Download or read book External Gravity Potential of the Earth written by Urho A. Uotila and published by . This book was released on 1975 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Methods for Study of the External Gravitational Field and Figure of the Earth

Download or read book Methods for Study of the External Gravitational Field and Figure of the Earth written by M. S. Molodenskiĭ and published by . This book was released on 1962 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Methods for Study of the External Gravitational Field and Figure of the Earth

Download or read book Methods for Study of the External Gravitational Field and Figure of the Earth written by and published by . This book was released on 1978 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book NASA Technical Note

    Book Details:
  • Author :
  • Publisher :
  • Release : 1963
  • ISBN :
  • Pages : 662 pages

Download or read book NASA Technical Note written by and published by . This book was released on 1963 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Theory of the Figure of the Earth

Download or read book The Theory of the Figure of the Earth written by V. V. Brovar and published by . This book was released on 1964 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Forms of attraction potentials and their properties Boundary-value problems of potential theory The force of gravity and the earth's figure The earth's normal gravitational field Theory of determination of the external potential and t he surface of the earth Reduction of the force of gravity A regional study of the earth's figure Projection of regional gravimetric surveys. Evaluation of accuracy. A set of master curves. A study of the external gravitational field of the earth as a whole Application of the theory of the potential to gravimetric prospecting.

Book The Gravity Field of the Earth

Download or read book The Gravity Field of the Earth written by Michele Caputo and published by Elsevier. This book was released on 2016-06-03 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Dynamics of the Earth

    Book Details:
  • Author : V. I. Ferronsky
  • Publisher : Springer Science & Business Media
  • Release : 2010-06-28
  • ISBN : 9048187230
  • Pages : 267 pages

Download or read book Dynamics of the Earth written by V. I. Ferronsky and published by Springer Science & Business Media. This book was released on 2010-06-28 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: In their search for solutions to problems concerning the dynamics of the Earth as a self-gravitating body, the authors have applied the fundamentals found in their book “Jacobi Dynamics” (1987, Reidel). First, satellite observations have shown that the Earth does not remain in hydrostatic equilibrium, which forms the physical basis of modern geodynamics. Secondly, satellite data have established a relationship between the planet’s polar moment of inertia and the potential of the Earth’s outer force field, which proves the most basic point of Jacobi dynamics. This allowed the authors to revise their derivation of the classical virial theorem, introducing the concept of a volumetric force and volumetric moment, and so to obtain a generalized virial theorem in the form of Jacobi’s equation. The main dynamical effects are: the kinetic energy of oscillation of the interacting particles, which explains the physical meaning and nature of gravitational forces; separation of shells of a self-gravitating body with respect to its mass density; differences in angular velocities of the shell’s rotation; continuity in variance of the potential of the outer gravitational force field, together with reductions in the envelope of the interacting masses (volumetric center of gravity); the nature of Earth, Moon and satellite precession; the nature and generating mechanism of the planet’s electromagnetic field; the common nature of gravitational and electromagnetic energy, and other related issues. The work is a logical continuation of the book "Jacobi Dynamics" and is intended for researchers, teachers and students engaged in theoretical and experimental research in various branches of astronomy, geophysics, planetology and cosmogony, and for students of celestial, statistical, quantum and relativistic mechanics and hydrodynamics.