Geometrical theory of satellite orbits and gravity field : doctoral thesis accepted by the Technische Universität München, Munich, Germany

"This book on space geodesy presents pioneering geometrical approaches in the modelling of satellite orbits and gravity field of the Earth, based on the gravity field missions CHAMP, GRACE and GOCE in the LEO orbit. Geometrical approach is also extended to precise positioning in space using multi-GNSS constellations and space geodesy techniques in the realization of the terrestrial and celestial reference frame of the Earth. This book addresses major new developments that were taking place in space geodesy in the last decade, namely the availability of GPS receivers onboard LEO satellites, the multitude of the new GNSS satellite navigation systems, the huge improvement in the accuracy of satellite clocks and the revolution in the determination of the Earth's gravity field with dedicated satellite missions."--Page 4 of cover Front Matter ....Pages i-xxiii The First Geometric POD of LEO Satellites—A Piece of History (Drazen Svehla)....Pages 1-28 Reference Frame from the Combination of a LEO Satellite with GPS Constellation and Ground Network of GPS Stations (Drazen Svehla)....Pages 29-41 Geometrical Model of the Earth’s Geocenter Based on Temporal Gravity Field Maps (Drazen Svehla)....Pages 43-52 First Phase Clocks and Frequency Transfer (Drazen Svehla)....Pages 53-63 First Geometric POD of GPS and Galileo Satellites (Drazen Svehla)....Pages 65-69 Kinematics of IGS Stations (Drazen Svehla)....Pages 71-72 Reduced-Kinematic POD (Drazen Svehla)....Pages 73-81 First GPS Baseline in Space—The GRACE Mission (Drazen Svehla)....Pages 83-89 Geometrical Modeling of the Ionosphere and the Troposphere with LEO Orbit (Drazen Svehla)....Pages 91-109 Aerodynamics in Low LEO: A Novel Approach to Modeling Air Density Based on IGS TEC Maps (Drazen Svehla)....Pages 111-130 GPS Single-Frequency: From First cm-POD to Single Frequency GNSS-RO/R (Drazen Svehla)....Pages 131-143 Absolute Code Biases Based on the Ambiguity-Free Linear Combination—DCBs Without TEC (Drazen Svehla)....Pages 145-165 LEO Near-Field Multipath and Antenna Effects (Drazen Svehla)....Pages 167-182 Probing the Flyby Anomaly Using Kinematic POD—Exotic Applications of Kinematic POD (Drazen Svehla)....Pages 183-184 Galileo-2: A Highly Accurate Dynamical GEO Reference Frame to Complement the TRF (Drazen Svehla)....Pages 185-201 The GPS Transponder Concept—Towards One-Way and Two-Way GNSS Frequency Transfer (Drazen Svehla)....Pages 203-222 The SLR/LLR Double-Difference Baseline (Drazen Svehla)....Pages 223-249 Noise Model of the Galileo “mm-Clock” (Drazen Svehla)....Pages 251-267 Model of Solar Radiation Pressure and Thermal Re-radiation (Drazen Svehla)....Pages 269-295 Track-to-Track Ambiguity Resolution for Zero-Differences—Integer Phase Clocks (Drazen Svehla)....Pages 297-317 Integer Ambiguity Algebra (Drazen Svehla)....Pages 319-354 Earth Orientation Quaternion (Drazen Svehla)....Pages 355-361 A Geometrical Approach to Model Circular Rotations (Drazen Svehla)....Pages 363-368 The Concept of Counter-Rotating Circular Orbits (Drazen Svehla)....Pages 369-374 The Circular Kinematic and Dynamic Equation of a Satellite Orbit (Drazen Svehla)....Pages 375-387 A Geometrical Approach for the Computation and Rotation of Spherical Harmonics and Legendre Functions up to Ultra-High Degree and Order (Drazen Svehla)....Pages 389-420 Trigonometric Representations of Legendre Functions (Drazen Svehla)....Pages 421-446 Insight into the Earth’s Interior from Geometrical Rotations in Temporal Gravity Field Maps and Earth’s Rotation (Drazen Svehla)....Pages 447-482 Geometrical Representation of Gravity (Drazen Svehla)....Pages 483-501 Geometrical Representation of Gravity Field Determination (Drazen Svehla)....Pages 503-536 Back Matter ....Pages 537-537