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Applying Mathematics To Astro Navigation
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Book Synopsis Astro Navigation Demystified by : Jack Case
Download or read book Astro Navigation Demystified written by Jack Case and published by . This book was released on 2011-11 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in plain language, 'Astro Navigation Demystified' aims to make the art of astro navigation easy and enjoyable to learn.
Book Synopsis Applying Mathematics to Astro Navigation by : Jack Case
Download or read book Applying Mathematics to Astro Navigation written by Jack Case and published by Createspace Independent Publishing Platform. This book was released on 2014-02-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Astronavigation written by K.A. Zischka and published by Springer. This book was released on 2017-05-30 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Mathematics of Navigation by : Edward Jones Willis
Download or read book The Mathematics of Navigation written by Edward Jones Willis and published by . This book was released on 1921 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to the Mathematics and Methods of Astrodynamics by : Richard H. Battin
Download or read book An Introduction to the Mathematics and Methods of Astrodynamics written by Richard H. Battin and published by AIAA. This book was released on 1999 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Astronomy for Astro Navigaton by : Jack Case
Download or read book Astronomy for Astro Navigaton written by Jack Case and published by CreateSpace. This book was released on 2015-03-31 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: An ideal introduction to astronomy and astro navigation. 178 letter size pages packed with full colour illustrations, detailed diagrams and clear explanations. 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! The final book of the 'Astro Navigation Demystified' trilogy, Author's preface: Astronomy is a vast and complex subject and when I was taught astro navigation, I often wished my tutor would 'cut to the chase' and focus on only those aspects of astronomy that were relevant. When I taught navigation myself, I searched high and low for an astronomy book that would allow me to pick out just those topics that I needed to teach my students but I was never able to find one. For many years, I meant to write such a book myself to help other astro navigation tutors and students and now, at last, I have found time to do so.
Author :Robert M. Rogers Publisher :AIAA (American Institute of Aeronautics & Astronautics) ISBN 13 : Total Pages :442 pages Book Rating :4.F/5 ( download)
Book Synopsis Applied Mathematics in Integrated Navigation Systems by : Robert M. Rogers
Download or read book Applied Mathematics in Integrated Navigation Systems written by Robert M. Rogers and published by AIAA (American Institute of Aeronautics & Astronautics). This book was released on 2007 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Statistical Methods for Astronomical Data Analysis by : Asis Kumar Chattopadhyay
Download or read book Statistical Methods for Astronomical Data Analysis written by Asis Kumar Chattopadhyay and published by Springer. This book was released on 2014-10-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Understanding Astro Navigation by : Jack Case
Download or read book Understanding Astro Navigation written by Jack Case and published by Jack Case. This book was released on 2001 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis American Practical Navigator by : Nathaniel Bowditch
Download or read book American Practical Navigator written by Nathaniel Bowditch and published by . This book was released on 1912 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ptolemy's Almagest written by Ptolemy and published by Princeton University Press. This book was released on 1998-11-08 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ptolemy's Almagest is one of the most influential scientific works in history. A masterpiece of technical exposition, it was the basic textbook of astronomy for more than a thousand years, and still is the main source for our knowledge of ancient astronomy. This translation, based on the standard Greek text of Heiberg, makes the work accessible to English readers in an intelligible and reliable form. It contains numerous corrections derived from medieval Arabic translations and extensive footnotes that take account of the great progress in understanding the work made in this century, due to the discovery of Babylonian records and other researches. It is designed to stand by itself as an interpretation of the original, but it will also be useful as an aid to reading the Greek text.
Book Synopsis Heavenly Mathematics by : Glen Van Brummelen
Download or read book Heavenly Mathematics written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2017-04-04 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis From Eudoxus to Einstein by : C. M. Linton
Download or read book From Eudoxus to Einstein written by C. M. Linton and published by Cambridge University Press. This book was released on 2004-08-12 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since man first looked towards the heavens, a great deal of effort has been put into trying to predict and explain the motions of the sun, moon and planets. Developments in man's understanding have been closely linked to progress in the mathematical sciences. Whole new areas of mathematics, such as trigonometry, were developed to aid astronomical calculations, and on numerous occasions throughout history, breakthroughs in astronomy have only been possible because of progress in mathematics. This book describes the theories of planetary motion that have been developed through the ages, beginning with the homocentric spheres of Eudoxus and ending with Einstein's general theory of relativity. It emphasizes the interaction between progress in astronomy and in mathematics, showing how the two have been inextricably linked since Babylonian times. This valuable text is accessible to a wide audience, from amateur astronomers to professional historians of astronomy.
Book Synopsis Feedback Systems by : Karl Johan Åström
Download or read book Feedback Systems written by Karl Johan Åström and published by Princeton University Press. This book was released on 2021-02-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
Book Synopsis 5000 Years of Geometry by : Christoph J. Scriba
Download or read book 5000 Years of Geometry written by Christoph J. Scriba and published by Birkhäuser. This book was released on 2015-04-22 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)
Book Synopsis Fundamentals of Astrodynamics by : Roger R. Bate
Download or read book Fundamentals of Astrodynamics written by Roger R. Bate and published by Courier Dover Publications. This book was released on 2020-01-15 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Widely known and used throughout the astrodynamics and aerospace engineering communities, this teaching text was developed at the U.S. Air Force Academy. Completely revised and updated 2018 edition.
Book Synopsis On Their Own Terms by : Benjamin A. Elman
Download or read book On Their Own Terms written by Benjamin A. Elman and published by Harvard University Press. This book was released on 2009-07-01 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: In On Their Own Terms, Benjamin A. Elman offers a much-needed synthesis of early Chinese science during the Jesuit period (1600-1800) and the modern sciences as they evolved in China under Protestant influence (1840s-1900). By 1600 Europe was ahead of Asia in producing basic machines, such as clocks, levers, and pulleys, that would be necessary for the mechanization of agriculture and industry. In the seventeenth and eighteenth centuries, Elman shows, Europeans still sought from the Chinese their secrets of producing silk, fine textiles, and porcelain, as well as large-scale tea cultivation. Chinese literati borrowed in turn new algebraic notations of Hindu-Arabic origin, Tychonic cosmology, Euclidian geometry, and various computational advances. Since the middle of the nineteenth century, imperial reformers, early Republicans, Guomindang party cadres, and Chinese Communists have all prioritized science and technology. In this book, Elman gives a nuanced account of the ways in which native Chinese science evolved over four centuries, under the influence of both Jesuit and Protestant missionaries. In the end, he argues, the Chinese produced modern science on their own terms.