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1 | (20) |
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1.1 Objectives and Classifications of Geodesy |
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1 | (2) |
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1.1.1 Objectives of Geodesy |
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1 | (1) |
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1.1.2 Classifications of Geodesy |
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2 | (1) |
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1.2 Applications of Geodesy |
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3 | (9) |
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1.2.1 Applications of Geodesy in Topographic Mapping, Engineering Construction, and Transportation |
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3 | (2) |
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1.2.2 Applications of Geodesy in Space Technology |
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5 | (1) |
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1.2.3 Applications of Geodesy in Geoscience Research |
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6 | (2) |
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1.2.4 Applications of Geodesy in Resource Development, Environmental Monitoring, and Protection |
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8 | (2) |
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1.2.5 Applications of Geodesy in Disaster Prevention, Resistance, and Mitigation |
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10 | (2) |
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1.3 Brief History and Trends in the Development of Geodesy |
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12 | (9) |
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1.3.1 Brief History of Geodesy |
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12 | (4) |
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1.3.2 Trends in the Development of Geodesy |
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16 | (3) |
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Review and Study Questions |
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19 | (2) |
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2 Geodetic Data Collection Techniques |
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21 | (50) |
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2.1 Terrestrial Triangulateration |
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21 | (12) |
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21 | (6) |
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2.1.2 Distance Measurement |
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27 | (3) |
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2.1.3 Astronomical Measurement |
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30 | (3) |
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33 | (4) |
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33 | (2) |
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2.2.2 Trigonometric Leveling |
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35 | (2) |
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2.3 Space Geodetic Surveying |
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37 | (21) |
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37 | (6) |
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2.3.2 Satellite Laser Ranging |
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43 | (4) |
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2.3.3 Very Long Baseline Interferometry |
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47 | (6) |
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2.3.4 Satellite Altimetry |
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53 | (5) |
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58 | (13) |
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2.4.1 Absolute Gravimetry |
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58 | (4) |
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2.4.2 Relative Gravimetry |
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62 | (1) |
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2.4.3 Airborne Gravimetry |
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62 | (4) |
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2.4.4 Satellite Gravimetry |
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66 | (2) |
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Review and Study Questions |
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68 | (3) |
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3 Geodetic Datum and Geodetic Control Networks |
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71 | (60) |
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3.1 The Horizontal Datum and Horizontal Control Networks |
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72 | (15) |
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3.1.1 Geodetic Origin and the Horizontal Datum |
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72 | (2) |
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3.1.2 Methods of Establishing a Horizontal Control Network |
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74 | (2) |
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3.1.3 Principles of Establishing a National Horizontal Control Network |
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76 | (2) |
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3.1.4 Plans for Establishing a National Control Network |
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78 | (5) |
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3.1.5 Establishment of a Horizontal Control Network |
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83 | (4) |
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3.2 The Vertical Datum and Vertical Control Networks |
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87 | (8) |
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3.2.1 The Vertical Datum and Leveling Origin |
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87 | (3) |
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90 | (1) |
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3.2.3 Plans for Establishing China's National Vertical Control Network and Its Precision |
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91 | (2) |
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3.2.4 Leveling Route Design, Benchmark Site Selection, and Monumentation |
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93 | (2) |
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3.3 The Three-Dimensional Coordinate Datum and Satellite Geodetic Control Networks |
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95 | (25) |
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3.3.1 The Three-Dimensional Coordinate Datum |
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96 | (19) |
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3.3.2 Establishment of Satellite Geodetic Control Networks |
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115 | (5) |
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3.4 The Gravity Datum and Gravity Control Networks |
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120 | (11) |
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121 | (2) |
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3.4.2 Basic Gravimetric Networks in China |
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123 | (4) |
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3.4.3 Establishment of China's National Gravity Networks |
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127 | (3) |
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Review and Study Questions |
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130 | (1) |
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4 The Geoid and Different Height Systems |
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131 | (34) |
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4.1 Gravity Potential of the Earth and Geoid |
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132 | (13) |
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4.1.1 Gravity and Gravity Potential |
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132 | (5) |
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4.1.2 Earth Gravity Field Model |
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137 | (5) |
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4.1.3 Level Surface and the Geoid |
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142 | (3) |
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4.2 Earth Ellipsoid and Normal Ellipsoid |
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145 | (6) |
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145 | (2) |
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4.2.2 Normal Ellipsoid and Normal Gravity |
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147 | (3) |
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4.2.3 Disturbing Potential |
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150 | (1) |
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151 | (7) |
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4.3.1 Requirements for Selecting Height Systems |
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151 | (1) |
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4.3.2 Non-uniqueness of Leveled Height |
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152 | (1) |
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153 | (1) |
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154 | (1) |
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155 | (2) |
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4.3.6 Geopotential Number |
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157 | (1) |
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157 | (1) |
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4.4 Relationship and Transformation Between Different Height Systems |
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158 | (7) |
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4.4.1 Relationship Between Orthometric Height, Normal Height, and Geodetic Height |
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158 | (2) |
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4.4.2 Determination of Height Anomaly or Geoid Height |
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160 | (2) |
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4.4.3 Grid Models of Height Anomaly or Geoid Height |
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162 | (1) |
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Review and Study Questions |
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163 | (2) |
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5 Reference Ellipsoid and the Geodetic Coordinate System |
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165 | (100) |
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5.1 Fundamentals of Spherical Trigonometry |
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165 | (5) |
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165 | (1) |
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166 | (1) |
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5.1.3 Formulae for Spherical Trigonometry |
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167 | (3) |
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170 | (6) |
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5.2.1 Reference Surface for Geodetic Surveying Computations |
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170 | (3) |
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5.2.2 Geometric Parameters of the Reference Ellipsoid and Their Correlations |
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173 | (3) |
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5.3 Relationship Between the Geodetic Coordinate System and the Geodetic Spatial Rectangular Coordinate System |
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176 | (6) |
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5.3.1 Definitions of the Geodetic Coordinate System and the Geodetic Spatial Rectangular Coordinate System |
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176 | (1) |
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5.3.2 Expressions of the Ellipsoidal Normal Length |
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177 | (2) |
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5.3.3 Transformation Between Geodetic and Cartesian Coordinates |
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179 | (3) |
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5.4 Normal Section and Geodesic |
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182 | (31) |
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5.4.1 Radius of Curvature of a Normal Section in an Arbitrary Direction |
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182 | (6) |
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5.4.2 Radius of Curvature of the Meridian, Radius of Curvature in the Prime Vertical, and Mean Radius of Curvature |
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188 | (4) |
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5.4.3 Length of a Meridian Arc and Length of a Parallel Arc |
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192 | (8) |
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5.4.4 Reciprocal Normal Sections |
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200 | (4) |
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204 | (7) |
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5.4.6 Solution of Ellipsoidal Triangles |
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211 | (2) |
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5.5 Relationship Between Terrestrial Elements of Triangulateration and the Corresponding Ellipsoidal Elements |
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213 | (20) |
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5.5.1 Significance of and Requirements for Reduction of Terrestrial Triangulateration Elements to the Ellipsoid |
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213 | (2) |
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5.5.2 Reduction of Horizontal Directions to the Ellipsoid |
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215 | (7) |
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5.5.3 Reduction of the Observed Zenith Distance |
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222 | (3) |
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5.5.4 Reduction of the Observed Slope Distance to the Ellipsoid |
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225 | (3) |
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5.5.5 Relationship Between Astronomical Longitude and Latitude and Geodetic Longitude and Latitude (Formula for Deflection of the Vertical) |
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228 | (3) |
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5.5.6 Relationship Between Astronomical Azimuth and Geodetic Azimuth (Laplace Azimuth Formula) |
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231 | (2) |
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5.6 Relationship Between the Geodetic Coordinate System and the Geodesic Polar Coordinate System |
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233 | (32) |
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5.6.1 Geodesic Polar Coordinate Systems and the Solution of Geodetic Problems |
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233 | (3) |
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5.6.2 Series Expansions of the Solution of the Geodetic Problem |
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236 | (3) |
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5.6.3 Bessel's Formula for the Solution of the Geodetic Problem |
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239 | (10) |
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5.6.4 Computations of Bessel's Direct Solution of the Geodetic Problem |
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249 | (6) |
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5.6.5 Computations of Bessel's Inverse Solution of the Geodetic Problem |
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255 | (6) |
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Review and Study Questions |
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261 | (4) |
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6 Gauss and UTM Conformal Projections and the Plane Rectangular Coordinate System |
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265 | (62) |
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6.1 Overview of Projection |
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265 | (3) |
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265 | (1) |
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6.1.2 Definition of Projection |
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266 | (1) |
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6.1.3 Conformal Projection and Conformality |
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267 | (1) |
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6.2 General Condition for Conformal Projection |
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268 | (6) |
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268 | (1) |
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6.2.2 Expression of Scale Factor |
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269 | (3) |
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6.2.3 General Condition for Conformal Projection |
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272 | (2) |
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6.3 Fundamentals of the Gauss Projection |
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274 | (5) |
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6.3.1 History and Development of the Gauss Projection |
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274 | (1) |
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6.3.2 Conditions for Gauss Projection |
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275 | (1) |
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6.3.3 Zone-Dividing of the Gauss Projection |
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276 | (2) |
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6.3.4 Natural Coordinates and False (Biased) Coordinates |
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278 | (1) |
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6.4 Direct and Inverse Solutions of the Gauss Projection and Transformation Between Adjacent Zones |
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279 | (20) |
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6.4.1 Formula for Direct Solution of the Gauss Projection |
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279 | (9) |
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6.4.2 Formula for Inverse Solution of the Gauss Projection |
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288 | (7) |
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6.4.3 Transformation of Gauss Plane Coordinates Between Adjacent Zones |
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295 | (4) |
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6.5 Elements of the Geodetic Control Network Reduced to the Gauss Plane |
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299 | (24) |
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6.5.1 Reduction of the Geodetic Control Network on the Ellipsoid to the Gauss Plane |
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299 | (3) |
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6.5.2 Arc-to-Chord Correction |
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302 | (6) |
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6.5.3 Correction of Distance |
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308 | (10) |
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318 | (4) |
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6.5.5 Computation of Grid Bearing |
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322 | (1) |
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6.6 Universal Transverse Mercator Projection |
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323 | (4) |
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6.6.1 Definition of UTM Projection |
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323 | (1) |
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6.6.2 Computational Formula for UTM Projection |
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324 | (2) |
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Review and Study Questions |
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326 | (1) |
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7 Establishment of Geodetic Coordinate Systems |
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327 | (58) |
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7.1 Euler Angles in Geodetic Coordinate Systems |
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327 | (5) |
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7.1.1 Vector Analysis in Coordinate Transformations |
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327 | (2) |
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7.1.2 Coordinate Transformations in Terms of Euler Angles as Rotation Parameters |
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329 | (3) |
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7.1.3 Generalized Formulae for Deflection of the Vertical and Laplace Azimuth |
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332 | (1) |
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7.2 Transformation Between Different Geodetic Coordinate Systems |
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332 | (8) |
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7.2.1 Transformation Between Different Geodetic Cartesian Coordinate Systems |
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332 | (3) |
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7.2.2 Transformation Between Different Geodetic Coordinate Systems |
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335 | (4) |
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7.2.3 Grid Model of Coordinate Transformation |
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339 | (1) |
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7.3 Classical Methods for Ellipsoid Orientation |
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340 | (8) |
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7.3.1 Geodetic Origin Data and Ellipsoid Orientation |
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340 | (3) |
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7.3.2 Arc Measurement Equation |
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343 | (5) |
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7.3.3 Significance of the Classical Method of Ellipsoid Orientation in Understanding the Principle of Establishing a Modem Geodetic Coordinate System |
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348 | (1) |
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7.4 Conventional Terrestrial Reference System |
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348 | (16) |
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7.4.1 The Geocentric Coordinate System and Its Application |
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348 | (4) |
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7.4.2 Definitions of the CTRS and the Conventional Terrestrial Reference Frame |
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352 | (5) |
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7.4.3 Establishment and Maintenance of the CTRF |
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357 | (4) |
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7.4.4 International Terrestrial Reference Frame and The World Geodetic System 1984 |
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361 | (3) |
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7.5 Geodetic Coordinate Systems in China |
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364 | (21) |
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7.5.1 Beijing Coordinate System 1954 |
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364 | (2) |
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7.5.2 China's National Geodetic Coordinate System 1980 (Xi'an Coordinate System 1980) |
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366 | (5) |
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7.5.3 Beijing Coordinate System 1954 (New) |
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371 | (4) |
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7.5.4 Geocentric Coordinate System 1978 |
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375 | (1) |
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7.5.5 Geocentric Coordinate System 1988 |
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376 | (1) |
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7.5.6 China Geodetic Coordinate System 2000 |
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377 | (5) |
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Review and Study Questions |
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382 | (3) |
| Bibliography |
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385 | (12) |
| Index |
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397 | |