Understanding Mathematics For Aircraft Navigation

*Explains the mathematics essential to flight, teaching basic principles and reasoning *Provides an understanding that allows pilots to utilize new technologies *Examines techniques of GPS (Global Positioning System), and other navigation forms, including calculations of distance and bearings *Covers chart construction, magnetic compasses, mental calculations, long-range flight planning

*Explains the mathematics essential to flight, teaching basic principles and reasoning *Provides an understanding that allows pilots to utilize new technologies *Examines techniques of GPS (Global Positioning System), and other navigation forms, including calculations of distance and bearings *Covers chart construction, magnetic compasses, mental calculations, long-range flight planning

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).

Integrated Aircraft Navigation discusses the fundamentals of navigation systems analysis. Modern aircraft navigation systems are characterized by a multifaceted, computer-oriented approach, covering various branches of theoretical dynamics, inertial measurements, radar, radio navaids, celestial observations, and widely used statistical estimation techniques. Each pertinent field entails much technological development that is not essential for applied systems analysis. The book presents pertinent information extracted from a broad range of topics, expressed in terms of Newtonian physics and matrix-vector mathematics. The book begins by defining basic navigation quantities and functions, and introducing various subjects as an aid to subsequent developments. These include basic motion patterns, navigation coordinate frames, and navigation techniques and requirements. This is followed by separate chapters on coordinate transformations and kinematics; inertial navigation theory; the physics of inertial measurements; and navigation with multiple sensors. Subsequent chapters deal with dynamic equations for all navigation modes considered; functional relationships and practical considerations for the various navigation aid sensors in common usage; and system applications. This book will be useful to the student or practicing engineer who wants a valid analytical characterization, using the simplest theoretical concepts permissible, while omitting specialized mechanization details.

A guide to modern navigation for aviators.

This book is intended for aviators or individuals who are interested in application of mathematics in aviation. A reader new to the field working towards their recreational, private, or commercial license and one already flying a single piston or multi-engine aircraft will both benefit from the content. The book covers aviation mathematics in a variety of subjects, from meteorology to flight mechanics, in an organized, easy-to-understand approach. The book may be used as a reference and includes examples with step-by-step solutions. The eventual goal is to make the flying experience a more enjoyable one by making the flight mathematics-related topics less daunting and more accessible to wider aviation fans. Features:" Covers mathematics related to a variety of topics including meteorology, flight performance, climbs, enroute, descents, fuel calculations, flight mechanics, weight and balance, take-off and landing calculations" Includes examples related to popular aircraft types" Includes examples with complete solutions and test samples

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.