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“The universe is full of magical things
patiently waiting for our wits to grow sharper.”
Eden Phillpotts (1862–1960), “
A Shadow Passes”
, Cecil Palmer & Hayward, London, 1918.
Courtesy David Seal/NASA/JPL-Caltech
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Template:CV-2013-04-seminar-contents
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* Geodesy ** Geodetic Datum: Historical and Current Earth Ellipsoids ** Geometrical Figure of the Earth: Cartesian, Spherical, Geodetic and (Spatial) Ellipsoidal Coordinates, Ellipsoid of Revolution, Curvatures of an Ellipsoid of Revolution, ** Physical Figure of the Earth: Integral Gravitation Field Equation, Differential Gravitation Field Equations, Laplace vs. Laplace-Beltrami Operator, Surface Harmonics, Earth's external Gravitational Potential ** Earth Gravity Model 1996 (EGM96): Introduction, Normalized EGM96 Gravitational Coefficients truncated at $n = m = 9$, WGS84 EGM96 Geoid, The Geoid as Reference Surface for Heights, Example: Deflection of the Vertical ** Gravity Field of an Equipotential Ellipsoid of Revolution (Level Ellipsoid): Gravity Potential Field as (Truncated) Spherical Harmonics Series Expansion, Gravity Vector and Gravity Vector Gradient Truncated After $J_2$ and $J_4$ Term, Exact Closed-Form Solution in Ellipsoidal Coordinates, Derivation of Somigliana's Formula, Exact Formula of Somigliana, Free Air Reduction of Altitudes < 30 km, Evaluation and Residuals of Normal Gravity Formula, Somigliana (Normal) Gravity Gradient in n-Frame, Evaluation of WGS84 Gravity Vector Gradient ** World Geodetic System 1984 (WGS84): WGS84 Datum and Refinements, Defining Parameters, Derived Geometric Constants, Derived Physical Constants * Inertial Navigation Sensors ** Sensor Technologies *** History *** Platform Systems vs. Strapdown Systems *** Accelerometers: Principle, Sensor Errors, Mechanical Pendulous Accelerometer, Micro-Electromechanical Pendulous Accelerometers, Performance Overview *** Gyroscopes: The Sagnac Effect, Ring Laser Gyro (RLG), Fiber-Optic Gyro (FOG), Performance Overview ** IMU Calibration: Introduction, Models and Governing Equations for Accelerometer Sensor Errors, Accelerometer Calibration Example, Assessment of Required Calibration Lab Setup Accuracies, High-Precision Turn Table, Industrial Robot Calibration, Models and Governing Equations of Gyroscope Sensor Errors, Gyroscope Calibration Example ** Stationary Alignment: Leveling, Gyro Compassing, Stationary Alignment in Polar Regions, Influence on Attitude of IMU Error Propagation, IMU Classification, Tactical and Navigation Grade IMUs * Inertial Navigation Algorithms ** Reference Frames ** Derivation of the Strapdown Inertial Navigation ODEs ** Conventional Rotation Parameters ** Parameterizations of the Group of Rotation Matrices ** Parameterized Orientation Differential Equations ** Strapdown Inertial Navigation ODEs for Non-Integrating IMUs ** Numerical Integration of Ordinary Differential Equations ** All-Earth Navigation: Motivation, Introduction of Local Quaternions, Alternatives to the North-Indicating n-Frame, The Free Azimuth Horizontal Wander Frame * Integrating IMU Algorithms * Navigation Error Propagation * Stochastic Sensor Error Processes * Satellite Navigation * Navigation System Theory * Multi-Sensor Multi-Frequency Data Fusion * Integrated Navigation Systems
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