Deformations of an Elastic Earth

Name: Deformations of an Elastic Earth
Brand: Academic Press
Price: 54.95 EUR
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LANZANO(Autor*in)

LANZANO(Herausgeber*in)

Academic Press

Erschienen am 14. Mai 2014

245 Seiten

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978-0-08-095462-2 (ISBN)

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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
1.08 Deflection of the Vertical and the Formula of Vening-Meinesz
1.09 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
2.07 Numerical Solution of the Clairaut Equation for Various Earth Models
2.08 Determination of the Exterior Potential by Methods of Celestial Mechanics
Chapter III. Elastic Deformations of a Rotating Earth Caused by Surface Loads
3.00 Introduction
3.01 Linearized Navier-Stokes Equations
3.02 Analytic Preliminaries
3.03 Spheroidal Deformations
3.04 Regularity Conditions for the Solutions at the Center When µ ? 0 and n ? 0
3.05 Fundamental Equations of Motion for Some Limiting Cases
3.06 Boundary Conditions. Love and Load Numbers. Toroidal Deformations
Chapter IV. Solution of the Linearized Navier-Stokes Equations
4.00 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
5.03 Eulerian Motion and Lunisolar Perturbations
5.04 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
6.07 Evaluation of the Global Ocean Tides as a Boundary-Value Problem
6.08 Computational Techniques
References
Index
Internationl Geophysics Series

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