Applied mathematics in integrated navigation systems

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(TM) 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 foundation for addressing the different aspects of integrated navigation systems.

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