Teisseyre Gravity and Low-Frequency Geodynamics

1. Auflage 2013
ISBN: 978-1-4832-9180-2
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 493 Seiten, Web PDF

Reihe: Physics and Evolution of the Earths Interior

This fourth volume in the series Physics and Evolution of the Earth's Interior, provides a comprehensive review of the geophysical and geodetical aspects related to gravity and low-frequency geodynamics. Such aspects include the Earth's gravity field, geoid shape theory, and low-frequency phenomena like rotation, oscillations and tides.Global-scale phenomena are treated as a response to source excitation in spherical Earth models consisting of several shells: lithosphere, mantle, core and sometimes also the inner solid core. The effect of gravitation and rotation on the Earth's shape is analysed. The satellite approach to studies of the gravity field and the geoid shape is discussed in some detail. Discussions of recent findings and developments are accompanied by a brief historical background.

Autoren/Hrsg.

Teisseyre, Roman

Inhaltsverzeichnis

1;Front Cover;1
2;Gravity and Low-Frequency Geodynamics;4
3;Copyright Page;5
4;Table of Contents;10
5;Preface to the Series Physics and Evolution of the Earth's Interior;6
6;Preface;8
7;Chapter 1. The Earth's Gravity Field;14
7.1;1.1 Introduction;14
7.2;1.2 Properties of the gravitational potential;15
7.3;1.3 The Green–Gauss identities;22
7.4;1.4 The Earth's gravity field and the Stokes formula;24
7.5;1.5 Decomposition of the gravitational potential into spherical harmonics;27
7.6;1.6 The Earth's inertia tensor;40
7.7;1.7 The geoid;43
7.8;1.8 Gravimetric reductions, isostasy and gravity anomalies;50
7.9;1.9 Molodensky boundary-value problem;55
7.10;References;87
8;Chapter 2. Space Geodesy Methods;91
8.1;2.1 Dynamic of satellite motion;91
8.2;2.2. Gravity field parameters from changes of orbits;98
8.3;2.3 Direct sounding of the geopotential;100
8.4;2.4 Geodetic positioning by satellites;101
8.5;2.5 New space methods;105
8.6;2.6 Very Long Base Interferometry (VLBI);115
8.7;References;120
9;Chapter 3. The Hydrostatic Figure of the Earth;124
9.1;3.1 Introduction;124
9.2;3.2 The figure of the Earth deduced from satellite data;127
9.3;3.3 The symmetry of equilibrium figures;138
9.4;3.4 The Clairaut–Laplace internal field theory;144
9.5;3.5 Foundation of the theory of figures;175
9.6;3.6 On the hydrostatic flattening of the Earth and some geophysical implications;179
9.7;References;193
10;Chapter 4. The Earth's Rotation;200
10.1;4.1 Historical evolution of the problem—Rotation and observations;200
10.2;4.2 Principles and fundamental concepts;208
10.3;4.3 Deformation of the global Earth;221
10.4;4.4 Expression for the inner relations—Constitutive equations;231
10.5;4.5 Systems of equations;250
10.6;4.6 Tesseral movements, free and forced;257
10.7;4.7 Study of precession and nutations;272
10.8;4.8 Axial rotation—Rotation and geophysical problems;289
10.9;4.9 Numerical Love numbers;302
10.10;4.10 Conclusion;304
10.11;References;304
11;Chapter 5. Observational Determinations of the Earth's Rotation;308
11.1;Introduction;308
11.2;5.1 Historical evolution of observational determination of the Earth's rotation;309
11.3;5.2 Methods of observations;311
11.4;5.3 Time scales;338
11.5;5.4 References coordinate systems;347
11.6;5.5 Results of analysis of the Earth's rotation parameters determined observationally;352
11.7;References;366
12;Chapter 6. Free Oscillations of the Earth;375
12.1;6.1 Introduction;375
12.2;6.2 Free oscillations of a homogeneous liquid sphere;375
12.3;6.3 SNREI model;379
12.4;6.4 Excitation of free oscillations;388
12.5;6.5 Effect of general aspherical perturbation on the free oscillations;393
12.6;6.6 Generalized spherical harmonics approach;405
12.7;6.7 Oscillations of the Earth's fluid core;408
12.8;6.8 Inversion of the free oscillation data;416
12.9;References;425
13;Chapter 7. Earth Tides;429
13.1;References;450
14;Chapter 8. Gravity and Reference Models;451
14.1;8.1 Reference ellipsoid;451
14.2;8.2 Combined solutions;456
14.3;8.3 Geophysical interpretation;462
14.4;References;469
15;Chapter 9. Fundamental Systems of Astronomical and Geodetical Constants;472
15.1;9.1 Introduction;472
15.2;9.2 The IAU System of Astronomical Constants;477
15.3;9.3 Geodetic Reference Systems;478
15.4;9.4 MERIT Standards;482
15.5;References;488
16;Index;490