Applied Mathematics In Integrated Navigation Systems

Applied Mathematics in Integrated Navigation Systems

Descripción dele ditor: "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. 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.This BookApplied Mathematics in Integrated Navigation Systems, Third Edition coverCopyright © 2007 by the American Institute of Aeronautics and Astronautics, Inc.https://doi.org/10.2514/4.861598Supplemental MaterialsPricesHardbackMember: $74.95List: $94.95Not an AIAA Member? Join today and start saving!Site Tools Sign up for e-alerts RSS" (ARC).

Applied Mathematics in Integrated Navigation Systems

"Applied Mathematics in Integrated Navigation Systems combines an on-board navigation solution (position, velocity, and attitude), and independent navigation data (aids-to-navigation). The first part of the book covers the basic elements of mathematics, kinematics, equations describing navigation systems/sensors and their error models, aids-to-navigation, and Kalman filtering. Detailed derivations are presented and examples are given. The second part of the book presents case studies that apply the elements to real-world projects. This textbook is intended for upper-level undergraduates, graduate students, and working professionals in the area of design, integration, and testing/evaluation of navigation systems. Chapter exercises, appendices, and summaries supplement the text.

Applied Mathematics in Integrated Navigation Systems