Search Results for the-gravity-field-of-the-earth

This unity is obtained with the model of the earth's gravity field, in which an ellipsoid of revolution is in an equipotential surface and in which the gravity formula and the other theorems of the field are determined in closed form.

Author: Michele Caputo

Publisher: Elsevier

ISBN: 9781483222387

Category: Science

Page: 216

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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.
2016-06-03 By Michele Caputo

Since the Czech edition was published four years ago, the authors have revised the original text tobring it up to date.

Author: Milan Bursa

Publisher: Springer Science & Business Media

ISBN: 9783642520617

Category: Science

Page: 333

View: 858

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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 . . . . . . . .
2013-12-01 By Milan Bursa

Analysis of long drift arcs ( in excess of 30 ° ) in various realistic earth longitude gravity fields has shown that the order of magnitude of this higher order earth gravity bias in an analysis with only second order gravity is about ...

Author: Carl A. Wagner

Publisher:

ISBN: UIUC:30112106874974

Category: Astronautics in geodesy

Page: 103

View: 190

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1966 By Carl A. Wagner

“mean sealevel”, Earth rotation and polar motion, and global and regional sealevel rise and fall. ... generation of spacecraft for determining the gravity field of the Earth by more direct methods (GRACE and GOCE; see Wahr et al., 1998; ...

Author: G. Beutler

Publisher: Springer Science & Business Media

ISBN: 9789401713337

Category: Science

Page: 447

View: 278

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Volume resulting from an ISSI Workshop, 11-15 March 2002, Bern, Switzerland
2013-04-18 By G. Beutler

Author: Arne Bjerhammar

Publisher:

ISBN: OCLC:1277471621

Category:

Page: 10

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1961 By Arne Bjerhammar

Author: Urho A. K. Uotila

Publisher:

ISBN: OCLC:227257255

Category:

Page: 1

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APPENDIX SOFTWARE A.0 FORTRAN IV programs have been developed which create finite element gravity disturbance fields and which evaluate the gravity disturbance within these fields via the methods discussed in this report .

Author: John L. Junkins

Publisher:

ISBN: UVA:X004168811

Category: Finite element method

Page: 54

View: 967

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1977 By John L. Junkins

The third Geodetic Earth Orbiting Satellite ( GEOS - 3 ) , launched by NASA in April 1975 , has such an altimeter . However , the mean - sea - level surface also contains the topographic imprint of the Earth's gravity field , i.e. , the ...

Author: Lyndon B. Johnson Space Center

Publisher:

ISBN: UIUC:30112104121931

Category: Government publications

Page:

View: 298

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COMPUTATIONAL PROCEDURES 2.1 Representation of the Gravity Field To represent the gravity field , the potential of a simple layer is chosen [ Koch 1968 ] . Hence , the potential W of the Earth is divided into the potential U , which is ...

Author: Karl-Rudolf Koch

Publisher:

ISBN: UIUC:30112106770354

Category: Coordinates, Elliptic

Page: 29

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Author: Michele Caputo

Publisher:

ISBN: UCAL:B4254564

Category: Gravity

Page: 202

View: 738

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1967 By Michele Caputo