Geodesy for Geomatics and GIS Professionals, 2nd Edition
by James A. Elithorp, Jr. and Dennis D. Findorff  
Trade paperback: 260 pages
ISBN: 978-1-58152-658-5
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About this book

This book is a teaching textbook in geodesy for university students and professional practitioners. Geodesy is the study and practice of making precise measurements over long distances or over large areas on or near the earth’s surface. The use of electromagnetic energy and satellite systems has revolutionized the provision of geodetic services and products. This rapid technological change has pushed the need for a working knowledge of geodesy from the halls of graduate school to the field and office of the geomatics professional.

The responsible use of the Global Positioning System (GPS) and the use of Geographic Information Systems (GIS) concepts and software to provide services and products desired by society demand an understanding of fundamental geodetic theory. Geodetic theory involves models such as the ellipsoid and geoid; reference frames and coordinate transformations; datums and datum conversions; gravity and potential; ellipsoid heights, geoid heights, and orthometric heights; and the traditional reduction of observations.

This textbook contains over 100 drawings and figures to graphically demonstrate basic concepts and relationships. Most chapters contain several sample problems completely solved to demonstrate the application of basic theory. The need for a second edition became apparent with the National Readjustment of 2007 to the North American Datum of 1983 (NAD 83 NSRS2007). New material focuses on the impact of the National Readjustment of 2007 and the Federal Geographic Data Committee (FGDC) Geodetic Accuracy Standards. However, the focus of this textbook remains the same—that of providing an introduction to the fundamental geodetic concepts and principles. These concepts and principles are central to applying GPS technologies to geodetic positioning.

About the author

Dr. James A. Elithorp earned a Ph.D. in Geomatics Engineering (1999) and a Masters of Science in Surveying Engineering (1996) from Purdue University; the Bachelors of Science in Surveying (1994) from the Oregon Institute of Technology; the Masters Public Administration (1980) from California State University, Sacramento, and the Bachelor of Arts in Government (1970) from Sacramento State College.

Dr. Elithorp taught geomatics courses at Purdue University for one year before leaving to develop the four year degree Geomatics program for the State of Alabama at Troy University. He served as director of the Troy University program for six years before leaving to accept the challenge of providing an online Land Surveying/Geomatics program for the State of Nevada at Great Basin College in 2005. Dr. Elithorp is currently serving as the program supervisor of this successful online program provided by Great Basin College whose main campus is located in Elko, Nevada.

Dennis D. Findorff graduated with a Master of Science in Surveying Engineering (1994) from Purdue University. He earned a Bachelor of Science in Construction Engineering Technology (1982) from Montana State University. Mr. Findorff is a registered professional land surveyor and professional engineer. He was a professor in the Department of Civil Engineering and Geomatics at Oregon Institute of Technology for nine years before resigning in 2003 to pursue pastoral ministry.

Table of Contents

Chapter 1–Chapter One Introduction

  • Definition of Geodesy
  • Definition of Geomatics
  • Relevance of Geodesy
  • Geodetic Subdivisions
  • Plane Surveying
  • Reference Surfaces
  • History of Geodesy (Short Version!)
    • Spherical Earth Model
    • Ellipsoidal Earth Model
    • The Geoid
    • Satellite Geodesy

Chapter 2–Latitude and Longitude

  • Definitions
  • Latitude
  • Longitude
  • Graticule
  • Celestial Sphere
  • Diffusion Models
  • Polaris as the Extended Pole
  • Time

Chapter 3–Geometry of the Sphere

  • Basic Concepts
  • Spherical Coordinates
  • Curvilinear Coordinates
  • Cartesian (Rectangular) Coordinates
  • Coordinate Transformations
  • Azimuths and Distances on the Sphere
  • Spherical Triangles
  • Spherical Trigonometry
    • Law of Sines
    • Law of Cosines
    • Cotangent Formulas
  • Normal Sections
  • Other Spherical Earth Characteristics
    • Convergence of the Meridians
    • Spherical Excess
    • Rule of Thumb

Chapter 4–The Earth's Gravity Field

  • Gravity
  • Gravitation
  • Centrifugal Acceleration
  • Gravity Acceleration
  • Potential
    • Gravitational Potential
    • Centrifugal Potential
    • Gravity Potential
  • Equipotential Surfaces
  • The Geoid
  • Gravity
  • Geopotential Number
  • Orthometric Height
  • Dynamic Height
  • Does water always flow downhill?
  • Leveling
    • Single Setup
    • Multiple Setups-Leveling Circuit
    • Level Loops
    • Orthometric Excess & Correction

Chapter 5–Geometry of the Ellipsoid

  • Meridian Ellipse
  • Latitude
  • Ellipsoid of Revolution
  • Radii of Curvature
    • Meridian Plane
    • Prime Vertical
  • Three Types of Latitude ( Revisited)
  • Lengths of Arcs
  • Area
  • The Geodesic
  • Computations on the Ellipsoid Surface
    • Common Equations
    • Direct Solution
    • Inverse Solution

Chapter 6–Geodetic Perspective on the USPLSS

  • Definition of Convergence
    • Convergence on the Sphere
    • Convergence on the Ellipsoid
  • Mean Bearing and Azimuth
  • Distances
  • Geodetic Implications

Chapter 7–Geodetic Reference Systems

  • Coordinate Systems
    • Geodetic (Curvilinear) Coordinates
    • Geocentric (Cartesian) Coordinates
    • Local Geodetic Horizon Coordinates
  • Coordinate Transformations
    • Geodetic to Geocentric
    • Geocentric to Geodetic
    • Generic Coordinate Transformations
      • Two Dimensional (2-D) Coordinate Transformations
      • Rotation
      • Translation
      • Scale Change
      • Four Parameter Transformation
    • Three Dimensional (3-D) Coordinate Transformations
      • Rotation
      • Translation
      • General Form
      • Local to Geocentric
      • Geocentric to Local

Chapter 8–Geodetic Datums

  • Vertical Control Datums
    • Vertical Control Datums in the U.S
      • National Geodetic Vertical Datum of 1929
      • North American Vertical Datum of 1988
  • Horizontal Control Datums
    • History
      • North American Datum
      • North American Datum of 1927
      • North American Datum of 1983
    • Geodetic Control Networks
      • High Accuracy Reference Networks
      • Reobservation of HARNs
  • Geodetic Datum Conversions
    • Vertical Datum Conversions
      • NGS Methods
      • The “Two-Plane” Method
    • Horizontal Datum Conversions
    • Global Datum Conversions

Chapter 9–The Geoid

  • The Marine Geoid
  • Gravity Measurements
    • Reduction of Gravity Measurements
      • Free-Air Gravity Anomalies
      • Bouguer Gravity Anomalies
  • Geoid Heights
  • Geoid Models
    • G99SSS
    • GEOID99
  • GPS Leveling

Chapter 10–Reduction of Observations

  • The Plumb Line
  • Deflection of the Vertical
  • DEFLEC99
  • Definition of Astronomic Observations
  • Geodetic-Astronomic Conversions
  • Horizontal Distance—What Is It?
  • Level Distance
  • Correction for Atmospheric Refraction
  • Correction for Earth Curvature
  • Geodetic Distance
  • Traversing with Geodetic Coordinates
    • Reduction of Observed Zenith Angles
    • Reduction of Observed Horizontal Angles
    • Reduction of Distances
    • Line of Sight Obstructions

Chapter 11–Satellite Coordinate Systems

  • Coordinate Confusion
  • The Celestial Sphere
  • The Earth's Orbit
  • The International Celestial Reference Frame
  • Motion of the Earth's Axis
    • Precession
    • Nutation
    • Celestial Pole Offsets
    • Polar Motion
    • Terrestrial Poles
  • Rate of Rotation
  • Time
    • Solar Time
    • Sidereal Time
    • Greenwich Apparent Sidereal Time
  • Earth Orientation
  • Equation of Motion
  • The State Vector
  • Kepler's Laws
    • Kepler's First Law
    • Kepler's Second Law
    • Kepler's Third Law
  • Normal Satellite Orbits
  • Keplerian Orbital Elements
  • Keplerian Coordinate System
  • Orbital Perturbations

Chapter 12–Geodesy and GPS

  • Coordinate Confusion
  • NAD 83 (1986) The 1st Realization
  • NAD 83 (HARN) 2nd Realization
  • NAD 83 (CORS93) 3rd Realization
  • NAD 83 (CORS94) 4th Realization
  • NAD 83 (CORS96) 5th Realization
  • NAD 83 (NSRS2007) 6th Realization
  • WGS 84
  • ITRS
  • ITRS to NAD 83 (CORS96)
  • Precise Positioning with GPS
  • Geodetic Accuracy Standards
  • Revised Data Sheets
  • GPS Derived Elevations

Appendices

  • Appendix A Sample NGS Data Sheet.
  • Appendix B Sample Output from Geodetic Software
  • Appendix C Derivations
    • Meridian Ellipse
    • Meridian Radius of Curvature

Bibliography
Index

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