Applying Mathematics To Astro Navigation
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Applying Mathematics To Astro Navigation
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Author : Jack Case
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2014-02-19
Applying Mathematics To Astro Navigation written by Jack Case and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-19 with categories.
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
Astro Navigation Demystified
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Author : Jack Case
language : en
Publisher:
Release Date : 2011-11
Astro Navigation Demystified written by Jack Case and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11 with Nautical astronomy categories.
Written in plain language, 'Astro Navigation Demystified' aims to make the art of astro navigation easy and enjoyable to learn.
Understanding Astro Navigation
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Author : Jack Case
language : en
Publisher: Jack Case
Release Date : 2001
Understanding Astro Navigation written by Jack Case and has been published by Jack Case this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Navigation categories.
Celestial Navigation In The Gps Age
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Author : John Karl
language : en
Publisher: Paradise Cay Publications
Release Date : 2007
Celestial Navigation In The Gps Age written by John Karl and has been published by Paradise Cay Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Technology & Engineering categories.
Many books on celestial navigation take shortcuts in explaining concepts; incorrect diagrams and discussion are often used for the sake of moving the student along quickly. This book tells the true story-and the whole story. It conveys celestial navigation concepts clearly and in the shortest possible time.It's tailored for navigation in the GPS age-a time of computers, calculators, and web resources. Although it covers all of the traditional methods of 'working a sight, ' the primary thrust is using the (under $10) scientific calculator. By using equations that you key into your calculator, this book guides you toward a better understanding of the concepts of celestial navigation.You will learn novel ways to plot lines of position, ways to check your sextant accurately by star sights, and how to tell what time it is from a moon sight. The many appendices are a treasure of references and explanations of abstract ideas. Celestial Navigation is a crucial skill for the offshore navigator to know, this book provides the shortest path to that knowledge.
An Introduction To The Mathematics And Methods Of Astrodynamics
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Author : Richard H. Battin
language : en
Publisher: AIAA
Release Date : 1999
An Introduction To The Mathematics And Methods Of Astrodynamics written by Richard H. Battin and has been published by AIAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Astrodynamics categories.
Winner of the Summerfield Book Award! This best-selling, comprehensive text documents the fundamental theoretical developments in astrodynamics and space navigation that led to man's ventures into space.
Statistical Methods For Astronomical Data Analysis
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Author : Asis Kumar Chattopadhyay
language : en
Publisher: Springer
Release Date : 2014-10-01
Statistical Methods For Astronomical Data Analysis written by Asis Kumar Chattopadhyay and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-01 with Mathematics categories.
This book introduces “Astrostatistics” as a subject in its own right with rewarding examples, including work by the authors with galaxy and Gamma Ray Burst data to engage the reader. This includes a comprehensive blending of Astrophysics and Statistics. The first chapter’s coverage of preliminary concepts and terminologies for astronomical phenomenon will appeal to both Statistics and Astrophysics readers as helpful context. Statistics concepts covered in the book provide a methodological framework. A unique feature is the inclusion of different possible sources of astronomical data, as well as software packages for converting the raw data into appropriate forms for data analysis. Readers can then use the appropriate statistical packages for their particular data analysis needs. The ideas of statistical inference discussed in the book help readers determine how to apply statistical tests. The authors cover different applications of statistical techniques already developed or specifically introduced for astronomical problems, including regression techniques, along with their usefulness for data set problems related to size and dimension. Analysis of missing data is an important part of the book because of its significance for work with astronomical data. Both existing and new techniques related to dimension reduction and clustering are illustrated through examples. There is detailed coverage of applications useful for classification, discrimination, data mining and time series analysis. Later chapters explain simulation techniques useful for the development of physical models where it is difficult or impossible to collect data. Finally, coverage of the many R programs for techniques discussed makes this book a fantastic practical reference. Readers may apply what they learn directly to their data sets in addition to the data sets included by the authors.
Celestial Navigation
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Author : Jack Case, M. A.
language : en
Publisher:
Release Date : 2016-07-11
Celestial Navigation written by Jack Case, M. A. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-11 with categories.
If you are looking for something to enable you to rote-learn only what you need to pass an exam without real understanding, then sorry, this is not the book for you. If however, you want a book that will not only help you to pass exams but also teach you to navigate and to understand what you are doing, then you have come to the right place. This unique self-teach course comprehensively covers all elements of the examination syllabuses of the main sailing associations. Traditional methods of celestial navigation are taught in a way that is easier, faster and more accurate than other methods and does not rely on vast tables of data other than the Nautical Almanac.Although the prime aim of the course is to teach the practical skills of celestial navigation, it is emphasised that without knowledge, skill is nothing. At the same time, it is recognised that students quickly lose interest if they are expected to plough through reams of theory before they can get down to the business of learning the skills. With this in mind, this course has been uniquely designed to teach the important skills from the outset while 'tying-in' the relevant theory as progress is made. There are numerous examples and self-test exercises which enhance the learning process and help to embed the knowledge and skills needed to practise the art of celestial navigation.Although it is a large book (containing 324, letter size pages) it is thoroughly cross-referenced and its layout enables the reader to move from one section to another without having to read it from beginning to end. With regard to the mathematical aspects of the subject, the author has adopted a language style which allows the text to flow smoothly and makes for enjoyable reading which is a departure from the stilted, academic language of many text books.Note. The terms celestial navigation and astro navigation are generally regarded as synonymous. For further information: The Astro Navigation Demystified website provides a free resource for all those interested in the subject: www.astronavigationdemystified.com
Astronavigation
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Author : K.A. Zischka
language : en
Publisher: Springer
Release Date : 2017-05-30
Astronavigation written by K.A. Zischka and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-30 with Science categories.
This book acts as a manual for the ancient methods of navigating by the stars, which continue to provide the sailor or pilot with a timeless means of determining location. Despite the prevalence of GPS, a comprehensive set of formulae that can be evaluated on any inexpensive scientific calculator in the event of a catastrophic software or systems failure is a vital failsafe. It also serves as a living link to centuries of explorers from centuries past. Beginning with the basics of positional astronomy, this guide moves on to the more complex math necessary to understand the ephemerides, tables showing the future positions of the stars and planets. These astronomical almanacs were the satellite navigation of their day. The objective of this book is twofold: to provide the reader with a concise, comprehensible manual on positional astronomy as it applies to astro-navigation and to furnish the concise algorithms for finding the position of the Sun and various navigational stars at any given instant. In a world where too many mariners and aeronauts rely solely on technology and are vulnerable to solar flares, electrical issues, and the like, this knowledge can be a life-saving backup, not to mention a fascinating study in its own rights. Included is an exact mathematical way to determine your position in the air or on the sea far more quickly and accurately than by using the old celestial navigational method, without even needing to know or understand the underlying mathematics. There is even a section that teaches how to measure the azimuth of a star using an analog wrist watch so if a sextant gets damaged, locating position is still possible. This book offers mathematicians and adventurers a way to determine position when the skies go dark. The U.S. Navy has recently realized that their electronic navigation systems are vulnerable to cyberattack, and as a result has instructed the Naval Academy to begin teaching celestial navigation again.
Heavenly Mathematics
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Author : Glen Van Brummelen
language : en
Publisher: Princeton University Press
Release Date : 2017-04-04
Heavenly Mathematics written by Glen Van Brummelen and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-04 with Mathematics categories.
"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.
5000 Years Of Geometry
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Author : Christoph J. Scriba
language : en
Publisher: Birkhäuser
Release Date : 2015-04-22
5000 Years Of Geometry written by Christoph J. Scriba and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-22 with Mathematics categories.
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)