Applied Mathematics in Integrated Navigation Systems, Third Edition (Aiaa Education Series)

"The subject of integrated navigation systems covered in this book is designed for those directly involved with the design, integration, and test and evaluation of navigation systems. It is assumed that the reader has a background in mathematics, including calculus. Integrated navigation systems are the combination of an onboard navigation solution (position, velocity, and attitude) and independent navigation data (aids to navigation) to update or correct navigation solutions. In this book, this combination is accomplished with Kalman filter algorithms. This presentation is segmented into two parts. In the first part, elements of basic mathematics, kinematics, equations describing navigation systems/sensors and their error models, aids to navigation, and Kalman filtering are developed. Detailed derivations are presented and examples are given to aid in the understanding of these elements of integrated navigation systems. Problems are included to expand the application of the materials presented. The third edition includes additional background material, exercises and software. The added material includes: development of general form for Earth's gravitational potential with simplification to an ellipsoid model; development of satellite orbital equations for position and velocity and the impact of non-spherical earth gravitation on satellite orbital parameters; and illustrations in the development of derivative free Kalman filters including the Unscented and Divided Difference filter forms. Additional exercises are included that expand and supplement the material in the text and demonstrate properties of the Kalman filter. Additional software is included in this edition for simulating random processes and derivative free filter implementations. This edition provides a more complete foundation for addressing the different aspects of integrated navigation systems."

Intended for those directly involved with the design, integration, and test and evaluation of navigation systems, this text/CD-ROM presents elements of basic mathematics, kinematics, equations describing navigation systems and their error models, and Kalman filtering. Detailed derivations are presented and examples and problems are given. Later chapters provide detailed applications and exercises. This second edition includes software and additional background material, exercises, and applications. Background in calculus is assumed. Rogers is an Associate Fellow of the American Institute of Aeronautics and Astronautics. Annotation ©2004 Book News, Inc., Portland, OR

Booknews

Based on a short continuing education course he gives, Florida-based engineer Rogers explains navigation systems that combine onboard navigation solutions such as position, velocity, and attitude, with independent navigation data to update or correct those solutions. He accomplishes the combination with Kalman filter algorithms. The text assumes a solid background in mathematics, including calculus, and is suitable for a graduate or senior undergraduate course in aerospace engineering and related disciplines for students who will be designing, integrating, testing, or evaluating navigation systems. The CiP data shows the ISBN as 1-56347-397-6. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Cover 1 Title 4 Copyright 5 Foreword 8 Contents 10 Preface 14 Part 1. Elements of Integrated Navigation Systems 20 1 Introduction 22 2 Mathematical Preliminaries 26 3 Coordinate Systems and Transformations 68 4 Earth Models 90 5 Terrestrial Navigation 120 6 Navigation Sensor Models 154 7 Navigation Aids 172 8 Kalman Filtering 200 Part 2. Applications 254 9 Strap-Down Inertial Sensor Laboratory Calibration 256 10 Flight-Test Evaluations 270 11 Inertial Navigation System Ground Alignment 294 12 Integration via Kalman Filtering: Global-Positioning-System Receiver 308 13 In-Motion Alignment 324 14 Integrated Differential Global Positioning System/Dead-Reckoning Navigation 346 15 Attitude-Determination and Estimation 358 16 Summary 380 Appendix A Pinson Error Model 384 Appendix B Orbital Dynamics 396 Appendix C Coarse-Alignment Error Equations 406 Appendix D Fine-Alignment Error Equations 412 Appendix E References 414 Appendix F Bibliography 418 Index 420 Supporting Materials 428