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Intro; Supervisor's Foreword I; Supervisor's Foreword II; Acknowledgements; Contents; Introduction to the Thesis Work Described in this Book; 1 The First Geometric POD of LEO Satellites-A Piece of History; 1.1 Introduction; 1.2 Geometric and Dynamic Equation of Motion; 1.3 LEO GPS Observation Equation; 1.4 Zero-, Double- and Triple-Difference POD Approaches; 1.5 Zero-Difference Approach; 1.5.1 GPS Receiver Clock and Kinematic POD; 1.5.2 Validation of Kinematic Positions with SLR; 1.6 Double-Difference Approach; 1.7 Triple-Difference Approach; 1.8 Parameter Space in Geometric and Dynamic POD
1.9 Ambiguity Resolution1.9.1 Melbourne-Wübbena Ambiguity Resolution; 1.9.2 Narrow-Lane Ambiguity Resolution; 1.9.3 The Impact of Narrow-Lane Ambiguity Resolution and Tracking Geometry on Ground GPS Double-Differences with LEO Satellites; 1.9.4 Narrow-Lane Kinematic and Reduced-Dynamic Bootstrapping; 1.10 Differential Code Biases and Kinematic POD; References; 2 Reference Frame from the Combination of a LEO Satellite with GPS Constellation and Ground Network of GPS Stations; 2.1 General Remarks on the Combination of a LEO Satellite with the GPS Constellation for Reference Frame Determination
2.2 Terrestrial Frame Parameters from the Combination of a LEO Satellite with the GPS Constellation2.2.1 Geocenter Estimates from the Combination of a LEO Satellite with GPS Constellation; 2.2.2 SLR Network Effect; 2.2.3 Earth Rotation Parameters from the Combination of a LEO Satellite with GPS Constellation; 2.3 An Instantaneous Reference Sphere-A Proposal for the GNSS Orbit Combination and Terrestrial Frame Realization by Means of Least-Squares Collocation; References; 3 Geometrical Model of the Earth's Geocenter Based on Temporal Gravity Field Maps
3.1 Interhemispheric Temperature Asymmetry and Ocean Mass Flux Between the Northern and Southern Hemispheres3.2 The Geocenter Rate from Pear-Shaped Zonal Spherical Harmonics; 3.3 Rate in the Even-Degree Zonal Spherical Harmonics as a Measure of Sea Level Rise and Intrinsic Scale of the Reference Frame; References; 4 First Phase Clocks and Frequency Transfer; 4.1 The Concept of Phase Clocks; 4.2 Estimation of Phase Clocks; 4.3 Frequency Transfer Based on Phase Clocks; 4.4 Inter-Frequency and Inter-Channel Biases; References; 5 First Geometric POD of GPS and Galileo Satellites
5.1 The First Geometric Positioning of a GPS SatelliteReferences; 6 Kinematics of IGS Stations; 6.1 Ground Double-Difference GPS Baseline in IGS Network; References; 7 Reduced-Kinematic POD; 7.1 Reduced-Kinematic POD of LEO Satellites; 7.2 Constraints in the Reduced-Kinematic POD; Reference; 8 First GPS Baseline in Space-The GRACE Mission; 8.1 Formation Flying Using GPS; 8.2 GRACE GPS Baseline; 8.3 Along-Track Sub-mm Kinematic Orbit Determination with GRACE-Combination of GPS and K-Band Measurements; References; 9 Geometrical Modeling of the Ionosphere and the Troposphere with LEO Orbit
1.9 Ambiguity Resolution1.9.1 Melbourne-Wübbena Ambiguity Resolution; 1.9.2 Narrow-Lane Ambiguity Resolution; 1.9.3 The Impact of Narrow-Lane Ambiguity Resolution and Tracking Geometry on Ground GPS Double-Differences with LEO Satellites; 1.9.4 Narrow-Lane Kinematic and Reduced-Dynamic Bootstrapping; 1.10 Differential Code Biases and Kinematic POD; References; 2 Reference Frame from the Combination of a LEO Satellite with GPS Constellation and Ground Network of GPS Stations; 2.1 General Remarks on the Combination of a LEO Satellite with the GPS Constellation for Reference Frame Determination
2.2 Terrestrial Frame Parameters from the Combination of a LEO Satellite with the GPS Constellation2.2.1 Geocenter Estimates from the Combination of a LEO Satellite with GPS Constellation; 2.2.2 SLR Network Effect; 2.2.3 Earth Rotation Parameters from the Combination of a LEO Satellite with GPS Constellation; 2.3 An Instantaneous Reference Sphere-A Proposal for the GNSS Orbit Combination and Terrestrial Frame Realization by Means of Least-Squares Collocation; References; 3 Geometrical Model of the Earth's Geocenter Based on Temporal Gravity Field Maps
3.1 Interhemispheric Temperature Asymmetry and Ocean Mass Flux Between the Northern and Southern Hemispheres3.2 The Geocenter Rate from Pear-Shaped Zonal Spherical Harmonics; 3.3 Rate in the Even-Degree Zonal Spherical Harmonics as a Measure of Sea Level Rise and Intrinsic Scale of the Reference Frame; References; 4 First Phase Clocks and Frequency Transfer; 4.1 The Concept of Phase Clocks; 4.2 Estimation of Phase Clocks; 4.3 Frequency Transfer Based on Phase Clocks; 4.4 Inter-Frequency and Inter-Channel Biases; References; 5 First Geometric POD of GPS and Galileo Satellites
5.1 The First Geometric Positioning of a GPS SatelliteReferences; 6 Kinematics of IGS Stations; 6.1 Ground Double-Difference GPS Baseline in IGS Network; References; 7 Reduced-Kinematic POD; 7.1 Reduced-Kinematic POD of LEO Satellites; 7.2 Constraints in the Reduced-Kinematic POD; Reference; 8 First GPS Baseline in Space-The GRACE Mission; 8.1 Formation Flying Using GPS; 8.2 GRACE GPS Baseline; 8.3 Along-Track Sub-mm Kinematic Orbit Determination with GRACE-Combination of GPS and K-Band Measurements; References; 9 Geometrical Modeling of the Ionosphere and the Troposphere with LEO Orbit