05482nam 2200697Ia 450 991077746470332120230721031310.01-281-91858-X9786611918583981-270-875-8(CKB)1000000000415698(EBL)1193644(SSID)ssj0000300354(PQKBManifestationID)12071352(PQKBTitleCode)TC0000300354(PQKBWorkID)10250693(PQKB)11207757(MiAaPQ)EBC1193644(WSP)00006481(Au-PeEL)EBL1193644(CaPaEBR)ebr10698764(CaONFJC)MIL191858(OCoLC)850162856(EXLCZ)99100000000041569820080115d2007 uy 0engur|n|---|||||txtccrIntroduction to modern navigation systems[electronic resource] /Esmat BekirNew Jersey World Scientificc20071 online resource (256 p.)Includes bibliographical references and index.981-270-766-2 981-270-765-4 Includes bibliographical references and index.Preface; Contents; Introduction; 1. Vectors and Matrices; 1.1 Introduction; 1.2 Vector Inner Product; 1.3 Vector Cross Products and Skew Symmetric Matrix Algebra; 2. Coordinate Transformation between Orthonormal Frames; 2.1 Introduction; 2.2 Direction Cosine Matrices; 2.3 The Direction Cosine Matrix is a Unitary Matrix; 2.4 The Direction Cosine Matrix is a Transformation Matrix; 2.5 DCM Fixed Axis; 2.6 The Rotation Matrix; 2.7 Inner and Outer Transformation Matrices; 2.8 The Quaternion; 3. Forms of the Transformation Matrix; 3.1 Introduction; 3.2 Simple Frame Rotations; 3.3 Euler Angles3.4 Rotation Vector3.5 Quaternion; 3.6 Simple Quaternions; 3.7 Conversion between Forms; 3.7.1 Conversion between DCM and Euler; 3.7.2 Conversion between DCM and Quaternion; 3.7.3 Conversion between Euler Angles and Quaternion; 3.8 Dynamics of the Transformation Matrix; 3.8.1 DCM Differential Equation; 3.8.2 Quaternion Differential Equation; 3.8.3 Rotation Vector Differential Equation; 3.8.4 Euler Angles Differential Equation; 4. Earth and Navigation; 4.1 Introduction; 4.2 Earth, Geoid and Ellipsoid; 4.3 Radii of Curvature; 4.4 Earth, Inertial and Navigation Frames; 4.5 Earth Rate4.6 The Craft Rate n en ω4.7 Solution of the DCM n e C; 4.8 Gravitational and Gravity Fields; 5. The Inertial Navigation System Equations; 5.1 Introduction; 5.2 Body Frame of Reference; 5.3 Inertial Sensors; 5.3.1 The Accelerometer; 5.3.2 The Rate Gyro; 5.4 The Attitude Equation; 5.5 The Navigation Equation; 5.6 Navigation Equations Computational Flow Diagram; 5.7 The Navigation Equation in Earth Frame; 6. Implementation; 6.1 Introduction; 6.2 The Rotation Vector Differential Equation; 6.3 The Attitude Equation; 6.4 The Craft Velocity Equation; 6.5 The Craft Position Equation6.6 The Vertical Channel7. Air Data Computer; 7.1 Introduction; 7.2 US Standard Atmosphere 1976; 7.3 Pressure Altitude; 7.4 Vertical Channel Parameter Estimation Using Inertial and Air Data; 7.5 Density Altitude; 7.6 Altitude (Descend/Climb) Rate; 7.7 Air Speed; 7.8 Indicated Air Speed (IAS); 8. Polar Navigation; 8.1 Introduction; 8.2 The Wander Azimuth Navigation; 8.3 Prospective of the Wander Azimuth Approach; 8.4 Polar Circle Navigation Algorithm; 8.5 Alternative Polar Circle Navigation Frame; 9. Alignment; 9.1 Introduction; 9.2 IMU Alignment; 9.3 Alternative Algorithm for b n C9.4 Estimation of the Accelerometer and Gyro Biases9.5 Effects of Biases on Estimate of b n C; 10. Attitude and Heading Reference System; 10.1 Introduction; 10.2 Attitude Initialization; 10.3 Heading Initialization; 10.4 Gyro Drift Compensation; 10.5 G Slaving; 10.5.1 X-Gyro Bias; 10.5.2 Y-Gyro Bias; 10.5.3 Z-Gyro Bias; 10.6 Alternative Approach for Gyro Drift Compensation; 10.7 Maneuver Detector; 10.7.1 Rate Gyro Threshold Selection; 11. GPS Aided Inertial System; 11.1 Introduction; 11.2 Navigation Frame Error Equation; 11.2.1 Craft Rate Error n en ω δ; 11.2.2 Earth Rate Error n ie ω δ11.2.3 Position ErrorsThe emerging technology of very inexpensive inertial sensors is available for navigation as never before. The book lays the analytical foundation for understanding and implementing the navigation equations. It starts by demystifying the central theme of the frame rotation using such algorithms as the quaternions, the rotation vector and the Euler angles. After developing navigation equations, the book introduces the computational issues and discusses the physical aspects that are tied to implementing these equations. The book then explains alignment techniques.Introduction to Modern NavigationInertial navigation systemsInertial navigationGlobal Positioning SystemInertial navigation systems.Inertial navigation.Global Positioning System.623.893629.04/5629.045Bekir Esmat1560453MiAaPQMiAaPQMiAaPQBOOK9910777464703321Introduction to modern navigation systems3826413UNINA