Vector Solutions for Great Circle Navigation
Traditionally, navigation has been taught with methods employing Napier's rules for spherical triangles while methods derived from vector analysis and calculus appear to have been avoided in the teaching environment. In this document, vector methods are described that allow distance and azimuth...
Published in: | Journal of Navigation |
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Language: | English |
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Cambridge University Press (CUP)
2005
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Online Access: | http://dx.doi.org/10.1017/s0373463305003358 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0373463305003358 |
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crcambridgeupr:10.1017/s0373463305003358 2024-06-23T07:55:24+00:00 Vector Solutions for Great Circle Navigation Earle, Michael A. 2005 http://dx.doi.org/10.1017/s0373463305003358 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0373463305003358 en eng Cambridge University Press (CUP) https://www.cambridge.org/core/terms Journal of Navigation volume 58, issue 3, page 451-457 ISSN 0373-4633 1469-7785 journal-article 2005 crcambridgeupr https://doi.org/10.1017/s0373463305003358 2024-06-05T04:04:10Z Traditionally, navigation has been taught with methods employing Napier's rules for spherical triangles while methods derived from vector analysis and calculus appear to have been avoided in the teaching environment. In this document, vector methods are described that allow distance and azimuth at any point on a great circle to be determined. These methods are direct and avoid reliance on the formulae of spherical trigonometry. The vector approach presented here allows waypoints to be established without the need to either ascertain the position of the vertex or select the nearest pole; the method discussed here requires only one spherical triangle having an apex at the North Pole and is also easy to implement on a small computer. Article in Journal/Newspaper North Pole Cambridge University Press North Pole Journal of Navigation 58 3 451 457 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
description |
Traditionally, navigation has been taught with methods employing Napier's rules for spherical triangles while methods derived from vector analysis and calculus appear to have been avoided in the teaching environment. In this document, vector methods are described that allow distance and azimuth at any point on a great circle to be determined. These methods are direct and avoid reliance on the formulae of spherical trigonometry. The vector approach presented here allows waypoints to be established without the need to either ascertain the position of the vertex or select the nearest pole; the method discussed here requires only one spherical triangle having an apex at the North Pole and is also easy to implement on a small computer. |
format |
Article in Journal/Newspaper |
author |
Earle, Michael A. |
spellingShingle |
Earle, Michael A. Vector Solutions for Great Circle Navigation |
author_facet |
Earle, Michael A. |
author_sort |
Earle, Michael A. |
title |
Vector Solutions for Great Circle Navigation |
title_short |
Vector Solutions for Great Circle Navigation |
title_full |
Vector Solutions for Great Circle Navigation |
title_fullStr |
Vector Solutions for Great Circle Navigation |
title_full_unstemmed |
Vector Solutions for Great Circle Navigation |
title_sort |
vector solutions for great circle navigation |
publisher |
Cambridge University Press (CUP) |
publishDate |
2005 |
url |
http://dx.doi.org/10.1017/s0373463305003358 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0373463305003358 |
geographic |
North Pole |
geographic_facet |
North Pole |
genre |
North Pole |
genre_facet |
North Pole |
op_source |
Journal of Navigation volume 58, issue 3, page 451-457 ISSN 0373-4633 1469-7785 |
op_rights |
https://www.cambridge.org/core/terms |
op_doi |
https://doi.org/10.1017/s0373463305003358 |
container_title |
Journal of Navigation |
container_volume |
58 |
container_issue |
3 |
container_start_page |
451 |
op_container_end_page |
457 |
_version_ |
1802648005338202112 |