Applied Mathematics in Integrated Navigation Systems (AIAA Education) - Hardcover

Rogers, Robert M.

Hardcover

ISBN 10: 1563479273 ISBN 13: 9781563479274

Publisher: American Institute of Aeronautics & Astronautics, 2007

Synopsis

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.

About this title

About the Author

Robert M. Rogers received his degrees in aerospace engineering from the University of Florida and is an Associate Fellow of the American Institute of Aeronautics and Astronautics. As sole proprietor of Rogers Engineering & Associates, Dr. Roberts performs research development, systems analysis, test and evaluation, and teaching for the Department of Defense and the National Aeronautics and Space Administration in integrated navigation systems.

Edition details

• Publisher: American Institute of Aeronautics & Astronautics
• Publication date: 2007
• Language: English
• ISBN 10: 1563479273
• ISBN 13: 9781563479274
• Binding: Hardcover
• Edition number: 3
• Number of pages: 326