Applied Mathematics in Integrated Navigation Systems (AIAA Education Series) [Hardcover]

Robert M. Rogers (Author)

Book Description

ISBN-10: 1563476568 | ISBN-13: 978-1563476563 | Publication Date: October 2003 | Edition: 2nd

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 second edition includes software, additional background material and exercises, and additional applications. Selected Chapter, Section, and Exercise related software is provided in a companion CD-ROM to enhance the learning experience of the reader. The included software has been developed using MATLAB/Simulink version 6.5 by The MathWorks, Inc. Additional material includes: integrating navigation aides for a navigation system's vertical axis; exercises that broaden the scope of problems encountered in integrated navigation systems: and the general problem of attitude determination and estimation whether for terrestrial or space applications. This edition provides a more complete foundationfor addressing the different aspects of integrated navigation systems.

Editorial Reviews

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. --This text refers to an alternate Hardcover edition.

Product Details

• Hardcover: 326 pages
• Publisher: AIAA (American Institute of Aeronautics & Ast; 2nd edition (October 2003)
• Language: English
• ISBN-10: 1563476568
• ISBN-13: 978-1563476563
• Product Dimensions: 9.2 x 6.1 x 0.9 inches
• Shipping Weight: 1.7 pounds
• Average Customer Review: 3.5 out of 5 stars  See all reviews (4 customer reviews)
• Amazon Best Sellers Rank: #2,013,451 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

4 of 4 people found the following review helpful:

3.0 out of 5 stars Overall a decent book, but lacking in several areas, April 15, 2008

By 

scotthew "bigmbooks" (Columbia, MD United States) - See all my reviews

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This review is from: Applied Mathematics in Integrated Navigation Systems (AIAA Education Series) (Hardcover)

This book is probably the best one in the field of inertial navigation, but unfortunately, that isn't saying much. It is probably the most comprehensive of the books I have read, but still lacks full explanation and derivation. Like many other books on the subject, the notation used dates from the 60's and needs to be polished up to modern notation (how about bold face vectors and Matrices for starters).

The most confusing part of this book is that the many of the symbols are recycled and/or are inadequately explained. This means extra effort is required to derive or infer what they actually mean. Many of the key Matrix equations (Fig 5.2) should have a breif explanation below them so that the reader doesn't have to spend 30 minutes going through the text to determine symbol meanings. Additionally, the difference between perturbation and alternative form are inadequately explained, forcing the reader to find IEEE papers for better description.

As mentioned, this book is probably the most comprehensive on the subject and can almost stand alone (emphasis on almost). Someday somebody will publish the ultimate Intertial navigiation text!

3.0 out of 5 stars Good as a complementary book, October 17, 2011

By 

Y.C. - See all my reviews

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This review is from: Applied Mathematics in Integrated Navigation Systems, Third Edition (AIAA Education) (Hardcover)

This book is good as a complementary book and I was glad that I bought it. The good about the book is that there is a definition for most of the variables and the equations are clear. The bad is that part of the material is missing, and the reader should refer to other books and articles to complete the knowledge.

5 of 8 people found the following review helpful:

4.0 out of 5 stars A good book, March 31, 2001

By 

Radhakant Padhi (Rolla, MO USA) - See all my reviews

This review is from: Applied Mathematics in Integrated Navigation Systems (AIAA Education Series) (Hardcover)

The book is very precise and gives a lot of mathematical related things that's relevant to Navigation and Guidance. I somehow liked it's approach, mainly because it avoids a lot of descriptory jargons and talks straight in mathematics: the language of scientists and engineers! Before reading the book, a good hold of the mathematics related to system theory would be a definite plus. However, the book has an introductory chaper for the relevant mathematics too.