Theory of Satellite Geodesy: Applications of Satellites to Geodesy

by William M. Kaula

Overview

The main purpose of this classic text is to demonstrate how Newtonian gravitational theory and Euclidean geometry can be used and developed in the earth's environment. The second is to collect and explain some of the mathematical techniques developed for measuring the earth by satellite.
Book chapters include discussions of the earth's gravitational field, with special emphasis on spherical harmonies and the potential of the ellipsoid; matrices and orbital geometry; elliptic motion, linear perturbations, resonance, and other aspects of satellite orbit dynamics; the geometry of satellite observations, including time and precise definition of coordinates, and observability conditions; and statistical implications and date analysis.
The completion of a first-year course in physics and a first-year course in calculus is assumed.

Product Details

ISBN-13:	9780486414652
Publisher:	Dover Publications
Publication date:	11/27/2000
Series:	Dover Earth Science Series
Edition description:	Reprint
Pages:	160
Product dimensions:	5.50(w) x 8.50(h) x 0.35(d)

Table of Contents

TABLE OF SYMBOLS
TABLE OF NUMERICAL VALUES
1 THE EARTH'S GRAVITATIONAL FIELD
1.1 Potential Theory
1.2 Spherical Harmonics
1.3 Potential of the Ellipsoid
2 MATRICES AND ORBITAL GEOMETRY
2.1 General
2.2 Matrix Notation
2.3 Orbital Geometry
3 SATELLITE ORBIT DYNAMICS
3.1 Elliptic Motion
3.2 Perturbed Equations of Motion
3.3 Conversion of Spherical Harmonic Disturbing Function
3.4 Linear Perturbations
3.5 Nonlinear Perturbations
3.6 Resonance
3.7 Miscellaneous Effects
3.8 Summary
4 GEOMETRY OF SATELLITE OBSERVATIONS
4.1 General
4.2 Coordinate Transformations
4.3 Differential Relationships and Observation Equations
4.4 Observation Equations: Directional
4.5 Observation Equations: Range Rate and Range
4.6 Time and Precise Definition of Coordinates
4.7 Observability Conditions
5 STATISTICAL IMPLICATIONS
5.1 General
5.2 Time Series
5.3 Quadratic Sum Minimization
6 DATA ANALYSIS
6.1 Simultaneous Observations
6.2 Orbital Observations: Short-Term
6.3 Orbital Observations: Long-Term
INDEX