Geodesy: The Concepts 2nd edition [Kõva köide]

ForewordForeword to the Second EditionPart I. Introduction
1.
History of Geodesy 1.1. Historical Beginnings of Geodesy
1.2. Scientific Beginnings of Geodesy 1.3. Geodesy in the Service of
Mapping 1.4. Geodesy of the Modern Era
2. Geodesy and Other
Disciplines 2.1. Applications of Geodesy 2.2. Symbiotic
Relation Between Geodesy and some Other Sciences 2.3. Theoretical
Basis of Geodesy
3. Mathematics and Geodesy 3.1. Algebra
3.2. Analysis 3.3. Geometry 3.4. Statistics
4.
Structure of Geodesy 4.1. Functions of Geodesy 4.2.
Geodetic Theory 4.3. Geodetic Practice 4.4. Geodetic
Profession ReferencesPart II. The Earth
5. Earth and its Motions
5.1. Earth's Annual Motion 5.2. Earth's Spin, Precession, and
Nutation 5.3. Earth's Free Nutation 5.4. Observed Polar
Motion and Spin Velocity Variations
6. Earth and its Gravity Field
6.1. Gravity Field 6.2. Gravity Anomaly 6.3. Gravity
Potential 6.4. Geoid and Deflections of the Vertical
7. Earth
and its Size and Shape 7.1. Actual Shape of the Earth 7.2.
Geoid as a Figure of the Earth 7.3. Biaxial Ellipsoid as a Figure of
the Earth 7.4. Other Mathematical Figures of the Earth
8. Earth
and its Deformations in Time 8.1. Tidal Phenomena 8.2.
Crustal Loading Deformations 8.3. Tectonic Deformations
8.4. Man-Made and Other Deformations
9. Earth and its Atmosphere
9.1. Some Physical Properties of the Atmosphere 9.2. Wave
Propagation Through the Atmosphere and Water 9.3. Temporal
Variations of the Atmosphere 9.4. Gravitational Field of the
Atmosphere ReferencesPart III. Methodology
10. Elements of Geodetic
Methodology 10.1. General Procedure 10.2. Formulation of
the Mathematical Model 10.3. Observables and their Properties
10.4. Vector of Observables
11. Classes of Mathematical Models
11.1. Classification of Models 11.2. Models with a Unique Solution
11.3. Models with an Underdetermined Solution 11.4. Models
with an Overdetermined Solution
12. Least-Squares Solution of
Overdetermined Models 12.1. Formulation of the Least-Squares Problem
12.2. Solution of the Least-Squares Problem 12.3.
Covariance Matrices of the Results
13. Assessment of Results
13.1. Hubert Space and Statistics 13.2. Statistical Testing
13.3. Assessment of Observations of One Observable 13.4.
Simultaneous Assessment of Observations and Mathematical Models
13.5. Assessment of the Determined Parameters
14. Formulation and Solving
of Problems 14.1. Optimal Accuracy Design 14.2. Analysis of
Trend 14.3. Adjustment of Observations 14.4. Problems with
a Priori Knowledge About the Parameters 14.5. Problems with
Constraints and Singularities 14.6. Step-by-Step Procedures in
Dynamic and Static Problems ReferencesPart IV. Positioning
15. Point
Positioning 15.1. Fundamentals of Geodetic Astronomy 15.2.
Astronomical Positioning 15.3. Satellite Positioning 15.4.
Transformations of Terrestrial Positions
16. Relative Positioning
16.1. Relative Three-Dimensional Positioning 16.2. Relative
Horizontal Positioning on Reference Ellipsoid 16.3. Relative
Horizontal Positioning on Conformal Map 16.4. Relative Vertical
Positioning
17. Three-Dimensional Networks 17.1.
Three-Dimensional Networks Using Terrestrial Observations 17.2.
Photogrammetrical Networks 17.3. Three-Dimensional Networks Using
Extraterrestrial Observations 17.4. Assessment and Merger of
Three-Dimensional Networks
18. Horizontal Networks 18.1.
Horizontal Datum 18.2. Mathematical Models and their Solution
18.3. Assessment, Expansion, and Merger of Horizontal Networks
18.4. Marine Positioning
19. Height Networks 19.1. Vertical
Datum 19.2. Mathematical Models for Leveling 19.3.
Assessment and Design of Height Networks 19.4. Other Heighting
Concepts ReferencesPart V. Earth's Gravity Field
20. Global Treatment
of the Gravity Field 20.1. Fundamental Equations for Gravity
Potential 20.2. Eigenfunction Development of Gravitational Potential
20.3. Model Gravity Field 20.4. Disturbing Potential
21. Local Treatment of the Gravity Field 21.1. Conversion of
Disturbing Potential into Other Field Parameters 21.2. Vertical
Gradient of Gravity 21.3. Curvature of the Plumb Line 21.4.
Topographical and Isostatic Effects
22. Determination of the Gravity
Field from Gravity Observations 22.1. Stokes's Concept
22.2. Molodenskij's Concept 22.3. Gravimetry 22.4.
Evaluation of the Surface Integrals
23. Determination of the Gravity
Field from Observations to Satellites 23.1. Satellites and the
Gravitational Field 23.2. Prediction of Orbits 23.3.
Analysis of Orbital Perturbations 23.4. Evaluation of Gravity Field
Parameters
24. Determination of the Gravity Field from Deflections and
from Heterogeneous Data 24.1. Geometrical Solution for the Geoid
24.2. Transformation of Gravity Field Parameters 24.3.
Densification and Refinement of Deflections of the Vertical 24.4.
Solutions for the Geoid from Heterogeneous Data ReferencesPart VI.
Temporal Variations
25. Corrections for Temporal Variations
25.1. Elastic Response to Tidal Stress 25.2. Tidal Corrections
25.3. Corrections Due to Sea Tide Effects 25.4. Corrections Due
to Polar Motion Deformations, and Other Causes
26. Detection of Vertical
Movements 26.1. Sources of Information on Vertical Movements
26.2. Interdependence of Temporal Variations of Gravity and Heights
26.3. Vertical Displacement Profiles 26.4. Areal Modeling of
Vertical Movements
27. Detection of Horizontal Movements 27.1.
Sources of Information on Horizontal Movements 27.2. Comparison of
Horizontal Positions 27.3. Direct Evaluation of Horizontal
Displacements 27.4. Strain, Shear, and Other Models
ReferencesAuthor IndexSubject Index