Control Surveying (3rd Edition) - Volume 2

Author: Kong Xiangyuan
Publisher: Wuhan University Press
Book Description:
"Control Surveying" is divided into two volumes, and this book is the second volume. The second volume consists of seven chapters, systematically introducing the fundamental principles and methods of computer-based measurement control network. The content includes: geodetic properties of the ellipsoid, calculation of observations and basic computations on the ellipsoidal surface, Gauss projection and control network preliminary calculations, concepts and applications of national and engineering coordinate systems, control network condition adjustment, indirect adjustment, and modern adjustment theory and applications. This book not only summarizes relevant traditional theories but also reflects modern achievements, linking theory with practice, and illustrating specific applications through typical examples.
This book serves as a textbook for undergraduate students in surveying engineering programs in universities (including day schools and adult education), and can also be referenced by faculty and students in other surveying disciplines, as well as by research, production, and technical personnel.
Table of Contents:
Part 3: Principles and Applications of Ellipsoid and Mathematical Projection Transformations
Chapter 7: Measurement Calculations on the Ellipsoidal Surface
7.1 Basic Geometric Parameters of the Earth Ellipsoid and Their Interrelationships
7.1.1 Basic Geometric Parameters of the Earth Ellipsoid
7.1.2 Interrelationships Between Earth Ellipsoid Parameters
7.2 Common Coordinate Systems on the Ellipsoidal Surface and Their Interrelationships
7.2.1 Establishment of Various Coordinate Systems
7.2.2 Relationships Between Coordinate Systems
7.2.3 Station-Horizontal Coordinate System
7.3 Several Curvature Radii on the Ellipsoidal Surface
7.3.1 Meridian Curvature Radius
7.3.2 Parallel Curvature Radius
7.3.3 Calculation of Principal Curvature Radius
7.3.4 Curvature Radius of an Arbitrary Meridian Arc
Part 3: Principles and Applications of Ellipsoid and Mathematical Projection Transformations
Chapter 7: Measurement Calculations on the Ellipsoidal Surface
7.1 Basic Geometric Parameters of the Earth Ellipsoid and Their Interrelationships
7.1.1 Basic Geometric Parameters of the Earth Ellipsoid
7.1.2 Interrelationships Between Earth Ellipsoid Parameters
7.2 Common Coordinate Systems on the Ellipsoidal Surface and Their Interrelationships
7.2.1 Establishment of Various Coordinate Systems
7.2.2 Relationships Between Coordinate Systems
7.2.3 Station-Horizontal Coordinate System
7.3 Several Curvature Radii on the Ellipsoidal Surface
7.3.1 Meridian Curvature Radius
7.3.2 Parallel Curvature Radius
7.3.3 Calculation of Principal Curvature Radius
7.3.4 Curvature Radius of an Arbitrary Meridian Arc
7.3.5 Mean Curvature Radius
7.3.6 Relationship Between M, N, and R
7.4 Calculation of Arc Length on the Ellipsoidal Surface
7.4.1 Formula for Calculating Meridian Arc Length
7.4.2 Calculating Geodetic Latitude from Meridian Arc Length
7.4.3 Formula for Parallel Circle Arc Length
7.4.4 Comparison of Changes in Meridian and Parallel Circle Arc Lengths
7.4.5 Calculation of Trapezoidal Map Area on the Ellipsoidal Surface
7.5 Geodesic
7.5.1 Relative Meridian
7.5.2 Properties of Geodesics
7.5.3 Differential Equation and Clairaut Equation of Geodesics
7.6 Reduction of Ground Observations to the Ellipsoidal Surface
7.6.1 Reduction of Ground Horizontal Observations to the Ellipsoidal Surface
7.6.2 Reduction of Ground Length Observations to the Ellipsoidal Surface
7.7 Overview of Geodetic Problem Solving
7.7.1 General Explanation of Geodetic Problem Solving
7.7.2 Legendre Series
7.7.3 Gauss Mean Latitude Forward Formula
7.7.4 Gauss Mean Latitude Inverse Formula
7.7.5 Bessel Geodetic Problem Solving Method
7.7.6 Solving Geodetic Problems Using Numerical Integration of Geodesic Differential Equations
Chapter 8: Reduction of Ellipsoidal Elements to Gauss Plane — Gauss Projection
8.1 Basic Concepts of Map Mathematical Projection Transformation
8.1.1 Significance and Projection Equation of Map Mathematical Projection Transformation
8.1.2 Distortion of Map Projection
8.1.3 Classification of Map Projections
8.2 Overview of Gauss Projection
8.2.1 Requirements of Control Surveying for Map Projection
8.2.2 Basic Concepts of Gauss Projection
8.2.3 Conversion of Ellipsoidal Triangulation to Gauss Projection Plane
8.3 General Conditions of Conformal Projection
8.4 Gauss Projection Coordinate Forward and Inverse Formulas
8.4.1 Gauss Projection Coordinate Forward Formula
8.4.2 Gauss Projection Coordinate Inverse Formula
8.4.3 Geometric Interpretation of Gauss Projection Coordinate Forward and Inverse Formulas
8.5 Practical Formulas and Examples for Gauss Projection Coordinate Calculation
8.5.1 Practical Formulas and Examples for Gauss Coordinate Calculation Using Tables
8.5.2 Practical Formulas and Examples for Gauss Coordinate Calculation Using Computers
8.6 Formula for Plane Meridian Convergence Angle
8.6.1 Definition of Plane Meridian Convergence Angle
8.6.2 Derivation of the Formula
8.6.3 Practical Formula and Examples
8.7 Direction Correction Formula
8.7.1 Derivation of the Approximate Formula for Direction Correction
8.7.2 Derivation of the More Precise Formula for Direction Correction
8.7.3 Practical Formula and Examples
8.8 Distance Correction Formula
8.8.1 Relationship Between s and D
8.8.2 Scale Factor and Scale Distortion
8.8.3 Distance Correction Formula
8.8.4 Practical Formula and Examples for Distance Correction
Chapter 9: Preliminary Calculations of Control Survey
Part 4: Common Geodetic Control Survey Coordinate Systems and Transformations
Chapter 10: Reference Ellipsoid Positioning and Conversion Between Different Coordinate Systems
Part 5: Adjustment Calculations and Data Management of Measurement Control Networks
Chapter 11: Condition Adjustment of Engineering Control Networks
Chapter 12: Indirect Adjustment of Engineering Control Networks
Chapter 13: Modern Adjustment and Data Management of Engineering Control Networks
Main References