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Author: Michele Caputo
Publisher: Elsevier
ISBN: 1483222381
Category : Science
Languages : en
Pages : 217
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Book Description
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.
Author: Charles Jonas Cohen
Publisher:
ISBN:
Category : Artificial satellites
Languages : en
Pages : 24
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Book Description
Author: Michele Caputo
Publisher: Elsevier
ISBN: 1483222381
Category : Science
Languages : en
Pages : 217
Get Book Here
Book Description
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.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 314
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Book Description
Author: Milan Bursa
Publisher: Springer Science & Business Media
ISBN: 3642520618
Category : Science
Languages : en
Pages : 339
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Book Description
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 . . . . . . . .
Author: John L. Junkins
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 214
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Book Description
As alternatives to lengthy globally valid series representations of the geopotential, piecewise modeling for the gravity field is investigated. A degree 23 spherical harmonic representation is replaced by 1500 local gravity functions within the spherical shell from 1 to 1.2 earth radii. Worst case acceleration errors enter in the 7th significant digit, computational speed is improved by an order of magnitude. (Author).
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 744
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Book Description
Author: Georges Blaha
Publisher:
ISBN:
Category :
Languages : en
Pages : 162
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Book Description
Partial contents: An Accurate Non-iterative Algorithm for Computing the Length of a position Vector to a Subsatellite Point; Feasibility of the Short Arc Adjustment Model in SEASAT-a Altimetry Reductions -- Mathematical Outline of the Short Arc Orbital Investigation, and Realistic GEOS-3 and SEASAT-A analysis; Accuracy Improvement in Adjusting Gravity Anomalies; Geopotential Model Containing Spherical Harmonics and Point Masses; Refinement of the Gravity Anomaly Model -- Gravity Anomaly Mathematical Model, Gravity Mathematical Model, Comparison of the Gravity and the Gravity Anomaly Models, Equivalence of the Coefficients, and Equivalence of the Constant Terms.
Author: Fernando Sansò
Publisher: Birkhauser
ISBN: 9783030743550
Category :
Languages : en
Pages : 556
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Book Description
Introduction.- Part I: Forward Modelling of the Gravity Field.- The Vertical Gravitational Signal of Homogeneous Bodies, Bounded in the Horizon Plane.- Fourier Methods.- Part II: The Preprocessing and Processing of Gravity Data: From Observations to a Gravity Map on a Local Horizontal Plane.- The Gravity Field of Earth.- Gravity Surveying and Preprocessing.- Gravity Processing.- Part III: Inverse Theory and Applications.- Elementary Inverse Theory.- On the Mathematical Characterization of the Inverse Gravity Problem.- General Inversion Approaches.- Some Conclusions.- Part IV: Appendices.- Mathematical Auxillia.- The Theory of Random Fields and the Wiener-Kolmogorov Prediction Method.- The Tikhonov Regularization and Morozov's Discrepancy Principle.
Author: Samuel J. Ling
Publisher:
ISBN: 9781998109029
Category :
Languages : en
Pages : 0
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Book Description
Black & white print. University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity, and magnetism. Volume 3 covers optics and modern physics. This textbook emphasizes connections between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result.
Author: Richard H. Rapp
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 256
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Book Description
This book contains most of the papers presented at the G3 Symposium (Global and Gravity Field and Its Temporal Variations) sponsored by the International Association of Geodesy at the XXI General Assembly of the IUGG held in July 1995, Boulder, Colorado, USA. Four papers review the following areas: applications of global gravity models in geodesy and oceanography, high resolution gravity information in the oceans from satellite altimeter data, and temporal variations of the gravity field measured by terrestrial and satellite techniques. Other papers provide new results and future plans, for example, in the areas: global potental coefficient models, new terrestrial and altimeter-derived anomaly data, improved estimations Techniques, and use of GPS data in gravity field modeling.
