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

by Robert M. Rogers (Author) "Navigation systems are used for land, sea, airborne, and space vehicles..." (more)
Key Phrases: error dynamic model, angular velocity addition theorem, inertial sensor errors, Monte Carlo, Substituting Eqs, Fort Bragg (more...)

Editorial Reviews

Product Description
"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."

Product Details

• Hardcover: 326 pages
• Publisher: American Institute of Aeronautics and Astronautics; 3rd edition (September 1, 2007)
• Language: English
• ISBN-10: 1563479273
• ISBN-13: 978-1563479274
• Product Dimensions: 9.2 x 6.2 x 1 inches
• Shipping Weight: 1.7 pounds (View shipping rates and policies)
• Average Customer Review: 3.7 out of 5 stars See all reviews (3 customer reviews)
• Amazon.com Sales Rank: #700,231 in Books (See Bestsellers in Books)

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

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!

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.

4 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 linear system theory would be a definite plus, even though the it has an introductory chapter for the related mathematics.