Applied Mathematics in Integrated Navigation Systems

Applied Mathematics in Integrated Navigation Systems
Author: Robert M. Rogers
Publisher: AIAA (American Institute of Aeronautics & Astronautics)
Total Pages: 442
Release: 2007
Genre: Mathematics
ISBN:

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.

Understanding Mathematics for Aircraft Navigation

Understanding Mathematics for Aircraft Navigation
Author: James S. Wolper
Publisher: McGraw Hill Professional
Total Pages: 284
Release: 2001-06-13
Genre: Transportation
ISBN: 0071638792

*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

The Mathematics of Navigation (Classic Reprint)

The Mathematics of Navigation (Classic Reprint)
Author: Edward Jones Willis
Publisher: Forgotten Books
Total Pages: 58
Release: 2017-12-25
Genre: Science
ISBN: 9780484739917

Excerpt from The Mathematics of Navigation To the beginner, navigation seems a maze of formulas, a mass of tables and a long list of funny names. In fact, the extremely confused and complicated way of presenting the subject reminds the author of the examinations a licensed electrician has to pass, which are apparently gotten up to reduce the number of licensed electricians. Many who navigate ships are poor mathematicians, and though they may be fine men, good sailors and eficient oficers they are so in spite of their poor mathematics, not because of it. Navigation is a mathematical subject and should be so taught. N 0 one can understand navigation unless he knows some mathematics - arithmetic, geometry, algebra, analytical geometry and plane trigonometry. The author does not consider spherical geometry and trigonometry necessary, and thinks they should be avoided, as will be seen, but it is absolutely necessary that the general astro nomical situation be comprehended. Any one who knows astronomy can skip the chapter headed Right Ascension, as it was written only to cover this point. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Planetary Spacecraft Navigation

Planetary Spacecraft Navigation
Author: James Miller
Publisher: Springer
Total Pages: 395
Release: 2018-09-03
Genre: Technology & Engineering
ISBN: 3319789163

This textbook introduces the theories and practical procedures used in planetary spacecraft navigation. Written by a former member of NASA's Jet Propulsion Laboratory (JPL) navigation team, it delves into the mathematics behind modern digital navigation programs, as well as the numerous technological resources used by JPL as a key player in the field. In addition, the text offers an analysis of navigation theory application in recent missions, with the goal of showing students the relationship between navigation theory and the real-world orchestration of mission operations.

Mathematics for the Mariner

Mathematics for the Mariner
Author: Dennis A. J. Morey
Publisher: AuthorHouse
Total Pages: 73
Release: 2004-12
Genre: Mathematics
ISBN: 1420809393

Whereas numerous tomes of comprehensive studies of navigation and related subjects are readily available for the professional navigator, there is dearth of publications suitable for the amateur navigator in a "how-to" form. Furthermore, the appearance of relatively inexpensive electronic devices, such as the GPS, has lured would-be navigators away from the traditional methods of navigation, in spite of the warnings offered by the companies producing these devices. Thus they overlook the "sine qua non" of good navigation, the determination of the current velocity, that is the set and drift. Once determined this component of the navigational triangle makes precise navigation a snap, whereas without it there is only uncertainty. Most students are turned off by the need to acquire a practical application of basic formulae employing basic trigonometry and later spherical trigonometry, methods which have evolved over the centuries from the beginning of the Age of Exploration in the early 1400's to modern days. In this text we develop the knowledge and application of these mathematical processes in such a way as to reassure the student that these techniques are not beyond his capabilities.

The Mathematics of Navigation

The Mathematics of Navigation
Author: Edward Jones Willis
Publisher: Andesite Press
Total Pages: 60
Release: 2015-08-11
Genre:
ISBN: 9781296639730

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Applying Mathematics to Astro Navigation

Applying Mathematics to Astro Navigation
Author: Jack Case
Publisher: Createspace Independent Publishing Platform
Total Pages: 0
Release: 2014-02-19
Genre:
ISBN: 9781496012067

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