Text discusses earth's gravitational field; matrices and orbital geometry; satellite orbit dynamics; geometry of satellite observations; statistical implications; and data analysis.
Text discusses earth's gravitational field; matrices and orbital geometry; satellite orbit dynamics; geometry of satellite observations; statistical implications; and data analysis.
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
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
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