Introduction to modern navigation systems / Esmat Bekir.

Format:

Book

Author/Creator:

Bekir, Esmat.

Language:

English

Subjects (All):

Inertial navigation systems.

Inertial navigation.

Global Positioning System.

Physical Description:

1 online resource (256 p.)

Edition:

1st ed.

Place of Publication:

New Jersey : World Scientific, c2007.

Language Note:

English

Summary:

The 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 Navigation

Contents:

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 Angles

3.4 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 Rate

4.6 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 Equation

6.6 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 C

9.4 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 δ

11.2.3 Position Errors

Notes:

Includes bibliographical references and index.

ISBN:

9786611918583

9781281918581

128191858X

9789812708755

9812708758

OCLC:

850162856