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Loxodrome (Rhumb Line), Orthodrome (Great Circle), Great Ellipse and Geodetic Line (Geodesic) in Navigation,9781138000049
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Loxodrome (Rhumb Line), Orthodrome (Great Circle), Great Ellipse and Geodetic Line (Geodesic) in Navigation

by ;
Edition:
1st
ISBN13:

9781138000049

ISBN10:
1138000043
Format:
Hardcover
Pub. Date:
7/22/2015
Publisher(s):
CRC Press

Questions About This Book?

What version or edition is this?
This is the 1st edition with a publication date of 7/22/2015.
What is included with this book?
  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.

Summary

In this volume algorithms are compared for rhumb line sailing (RLS) and great elliptic sailing (GES) calculations commonly used for route planning and route monitoring. Compact vector formulas are given for the great circle and rhumb line on the sphere and rhumb line, great circle, great ellipse and geodesic line on the spheroid providing vector solutions to both the forward and the inverse problems and conversions of longitude and latitude. The solution incorporates a closed form for the azimuth and the derivation of this equation is presented and illustrated. This handbook also shows that a computer algebra system and linear algebra are powerful tools to solve some mathematical derivations that may be useful in navigation, geodesy, and cartography.The book demonstrates the manufacturers of ECDIS systems and GNSS receivers a wide spectrum of solutions possible to use in their algorithms from very simple (on the flat or on the sphere) to very complicated (on the surface of ellipsoid).


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