Theory of Satellite Geodesy (Dover Publications Inc.)

TABLE OF SYMBOLSTABLE OF NUMERICAL VALUES1 THE EARTH'S GRAVITATIONAL FIELD 1.1 Potential Theory 1.2 Spherical Harmonics 1.3 Potential of the Ellipsoid2 MATRICES AND ORBITAL GEOMETRY 2.1 General 2.2 Matrix Notation 2.3 Orbital Geometry3 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 Summary4 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 Conditions5 STATISTICAL IMPLICATIONS 5.1 General 5.2 Time Series 5.3 Quadratic Sum Minimization6 DATA ANALYSIS 6.1 Simultaneous Observations 6.2 Orbital Observations: Short-Term 6.3 Orbital Observations: Long-Term INDEX