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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.
*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
Written in plain language, 'Astro Navigation Demystified' aims to make the art of astro navigation easy and enjoyable to learn.
Applying Mathematics to Astro Navigation. This addition to the 'Astro Navigation Demystified' series focuses on the mathematical principles upon which astro / celestial navigation is based and it will appeal to anyone with an interest in these subjects whether they be navigators or mathematicians. A must for navigation course tutors and mathematics teachers.Few navigation books describe techniques that involve first principles; instead they mostly describe methods which rely upon the use of tables of computed data and rote-learned procedures. There is obviously very little educational value in such techniques; far better that students of the subject should be helped to discover and apply the underlying principles for themselves. Accordingly, the approach adopted in this book involves putting the student in the place of a navigator who has no automated navigation equipment, nautical almanac, chronometer or 'Sat. Nav.' and who must therefore discover a means of navigating without them. To this end, readers are guided through a method of calculating a position on the earth's surface by the application of spherical trigonometry without reliance upon equipment other than an angle measuring device such as a simple clinometer.Section two of the book, which is very popular with teachers and college lecturers, contains activities that are designed to provide opportunities to consolidate the knowledge acquired and provide ideal starting points for 'open-ended' projects. They are suitable for people with a wide range of interests from seafarers and sailing enthusiasts to students of mathematics and nautical studies. Note. The terms celestial navigation and astro navigation are generally regarded as synonymous.Other books in the Astro Navigation Demystified Series: Astro Navigation Demystified. The ultimate book of the series; it is a complete course in astro / celestial navigation. This unique self-teach course comprehensively covers all relevant elements of the examination syllabuses of the main sailing associations. Part one ranges from simple explanations of the basic principles through to detailed expositions of the important aspects of the subject. Part two provides a comprehensive coverage of the use of rapid sight reduction techniques for position fixing. Celestial Navigation. The Ultimate CourseThe traditional method of celestial navigation involving the use of spherical trigonometry to calculate a vessel's position is comprehensively taught in this book. At first sight, the term 'spherical trigonometry' might seem quite daunting but with the knowledge of just two formulas and with a little practice of the methods explained in this book, it will be found to be quick and easy to apply as well as very accurate. With this method, we make accurate calculations using data taken directly from a vessel's DR position and so avoid the inaccuracies of sight reduction methods that involve interpolation from tables using data based on an 'assumed position'. Astronomy For Astro Navigation. This book focuses on those aspects of astronomy that are essential for a complete understanding of astro navigation - a must for sailors, navigators, nautical colleges and navigation tutors. Teachers and students of many other subjects including geography and mathematics will also find this book interesting, entertaining and very informative. The only book of its kind - no other book focuses on only those aspects of astronomy that are relevant to astro navigation. An ideal introduction to both astronomy and astro navigation containing 178 letter size pages packed with illustrations, detailed diagrams and clear explanations."Know the stars and you will always have a compass" (The Revenant) The Astro Navigation Demystified website provides a free resource for all those interested in the subject of astro navigation (or celestial navigation as it is also known): www.astronavigationdemystified.com
Fundamentals of Inertial Navigation, Satellite-based Positioning and their Integration is an introduction to the field of Integrated Navigation Systems. It serves as an excellent reference for working engineers as well as textbook for beginners and students new to the area. The book is easy to read and understand with minimum background knowledge. The authors explain the derivations in great detail. The intermediate steps are thoroughly explained so that a beginner can easily follow the material. The book shows a step-by-step implementation of navigation algorithms and provides all the necessary details. It provides detailed illustrations for an easy comprehension. The book also demonstrates real field experiments and in-vehicle road test results with professional discussions and analysis. This work is unique in discussing the different INS/GPS integration schemes in an easy to understand and straightforward way. Those schemes include loosely vs tightly coupled, open loop vs closed loop, and many more.
"Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth."--Jacket.
Approaching geometry through a transformational lens, this book concentrates on topics such as the use of transformations, coordinates and matrices and congruence and similarity. Activities that take students through geometric tasks require some use of technology, including interactive geometry software and a calculator or a computer with software that produces geometric images and graphs. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.