| Description |
1 online resource (xvi, 226 pages) |
| Series |
International geophysics series ; v. 31 |
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International geophysics series ; v. 31.
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| Contents |
Front Cover; Deformations of an Elastic Earth; Copyright Page; Contents; Preface; Chapter I. Concepts of Physical Geodesy; 1.00 Introduction; 1.01 Differential Geometry of a Surface of Revolution; 1.02 Some Properties of the Ellipse. Definition of Ellipsoidal Coordinates; 1.03 Potential of the Ellipsoid Expressed in Terms of Ellipsoidal Coordinates; 1.04 Normal Gravity; 1.05 Some Series Expansions and the Gravity Formula; 1.06 Potential of the Ellipsoid Expressed by Means of Spherical Harmonics; 1.07 Stokes Formula for Geoidal Heights |
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1.08 Deflection of the Vertical and the Formula of Vening-Meinesz1.09 Computational Techniques; 1.10 Determination of the Geoid by Astrogeodetic Methods: Helmert Formula and Shift in Geodetic Datum; Chapter II. Hydrostatic Equilibrium and Earth Density Models; 2.00 Introduction; 2.01 Equilibrium Configuration of a Rotating Body of Arbitrary Density; 2.02 Clairaut Equation Expressed up to Third-Order Terms; 2.03 Exterior Potential and Moments of Inertia; 2.04 Density Distortion Generated by Rotation; 2.05 Considerations on Earth Density Models; 2.06 Introduction to Numerical Methods |
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Chapter IV. Solution of the Linearized Navier-Stokes Equations4.00 Introduction; 4.01 Boussinesq Theory for an Elastic Flat Plate; 4.02 Asymptotic Behavior of the Load Numbers; 4.03 Poisson Sum of Certain Legendre Series. Evaluation of the Stokes Series; 4.04 Computation of the Spheroidal Deformations of the Earth; 4.05 Dynamics of the Liquid Core; 4.06 Numerical Results; Chapter V. Precessional and Nutational Motions of a Rigid Earth; 5.00 Introduction; 5.01 Motion of a Rigid Earth about Its Center of Gravity; 5.02 Precession and Nutation of the Rotational Axis |
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5.03 Eulerian Motion and Lunisolar Perturbations5.04 Development of the Disturbing Function. Motion of the Ecliptic and Equinox of Date; 5.05 Solution of the Poisson Equations in Terms of the Lunar and Solar Theories; 5.06 Dynamics of a System of Two Rigid Bodies of Comparable Size; Chapter VI. Ocean Tides; 6.00 Introduction; 6.01 Laplace Tidal Equations; 6.02 Darwin's Power Series Solutions; 6.03 Hough's Solutions in Spherical Harmonics; 6.04 Potential of the Tide-Generating Forces; 6.05 Some Considerations on the Lunar Orbit; 6.06 Classification of Tides |
| Summary |
Deformations of an elastic earth |
| Bibliography |
Includes bibliographical references (pages 217-219) and index |
| Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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Print version record |
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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Subject |
Tides -- Mathematical models
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Navier-Stokes equations -- Numerical solutions.
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SCIENCE -- Earth Sciences -- Geography.
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SCIENCE -- Earth Sciences -- Geology.
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Navier-Stokes equations -- Numerical solutions
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Tides -- Mathematical models
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Geophysik
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| SUBJECT |
Earth (Planet) -- Figure -- Mathematical models
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| Subject |
Earth (Planet)
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| Form |
Electronic book
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| ISBN |
9780124366206 |
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0124366201 |
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9780080954622 |
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0080954626 |
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