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Stand-alone Celestial Navigation Positioning Method

Published online by Cambridge University Press:  26 June 2018

Frankiskos Pierros Open the ORCID record for Frankiskos Pierros [Opens in a new window]
Frankiskos Pierros*
Affiliation:
(National Observatory of Athens)
*
(E-mail: [email protected])
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Abstract

Finding one's geographical position (fix) without the use of a Global Navigation Satellite System (GNSS), which was common place before the establishment of the latter, could be tedious and/or inaccurate. Apart from sound knowledge of spherical trigonometry and navigational methods, it also requires the knowledge of the navigator's approximate or assumed position, the use of the current year's celestial bodies' ephemeris (Nautical Almanac), and graphical methods (Lines of Position – LOP) which sometimes can prove wanting in accuracy and/or challenging for the unaccustomed user. The method proposed here is based on sight reduction from two celestial bodies, and directly calculates the geographical position, both for stationary and moving observers (“running fix”) using easily available modern programmable calculating devices, without the need of the assumed position, graphical methods (LOP) or the current year's ephemeris, hence the term “stand-alone”. This self-contained method is implemented by the author in a software application, which can be easily used in a portable computer (for example, a smartphone). The results are considered satisfactorily accurate.

Keywords

NavigationGPS vulnerabilitySextantAlgorithm
Type
Research Article
Information
The Journal of Navigation , Volume 71 , Issue 6 , November 2018 , pp. 1344 - 1362
Copyright
Copyright © The Royal Institute of Navigation 2018 

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References

REFERENCES

A'Hearn, M.F. and Rossano, G.S. (1977). Two Body Fixes by Calculator. NAVIGATION, 24(1), 59–66.Google Scholar
Albrand, K.T. and Stein, W. (1992). Nautische Tafeln und Formeln (Nautical Tables and Formulae). DSV-Verlag, Germany.Google Scholar
Bennett, G.G. (1980). General Conventions and Solutions-Their Use in Celestial Navigation. NAVIGATION, 26(4), 275–280.Google Scholar
Daub, C.T. (1979). A Completely Programmable Method of Celestial Navigation. NAVIGATION, 26(1), 59–62.Google Scholar
Gery, S.W. (1997). The Direct Fix of Latitude and Longitude from Two Observed Altitudes. NAVIGATION, 44(1), 15–23.Google Scholar
Huxtable, G. (2006). Calculating the intersections of two circles on a sphere. https://www.google.gr/url?sa=t&rct=j&q=&esrc=s&source=web&cd=2&cad=rja&uact=8&ved=0ahUKEwj71Pu0vI3LAhWGZCwKHYr0CCAQFggjMAE&url=http%3A%2F%2Ffer3.com%2Farc%2Fimg%2F103758.intersecting-circles.doc&usg=AFQjCNGJalC9XDHjdb6F_GIxEUdDpMP6Pg. Accessed 8 January 2012.Google Scholar
Kjer, T. (1981). Unambiguous Two Body Fix Methods Derived from Crystallographic Principles. NAVIGATION, 28(1), 52–54.Google Scholar
Kotlaric, S. (1981). K-12 Method by Calculator: A Single Program for All Celestial Fixes, Directly or by Position Lines. NAVIGATION, 28(1), 44–51.Google Scholar
Malkin, R. (2014). Understanding the Accuracy of Astro Navigation. The Journal of Navigation, 67, 63–81.Google Scholar
Metcalf, T.R. and Metcalf, F.T. (1991). On the Overdetermined Celestial Fix. NAVIGATION, 38(1), 79–89.Google Scholar
Ogilvie, R.E. (1977). A New Method of Celestial Navigation. NAVIGATION, 24(1), 67–71.Google Scholar
Ruiz Gonzalez, A. (2008). Vector Solution for the Intersection of Two Circles of Equal Altitude. The Journal of Navigation, 61, 355–365.Google Scholar
Umland, H. (2011). A Short Guide to Celestial Navigation. http://www.celnav.de/page2.htm. Accessed 1 July 2013.Google Scholar
Van Allen, J.A. (1981). An Analytical Solution of the Two Star Sight Problem of Celestial Navigation. NAVIGATION, 28(1), 40–43.Google Scholar
Yallop, B.D. and Hohenkerk, C.Y. (2007). Astronomical Algorithms for use with Micro-computers. NAO Technical Note No 67. HM Nautical Almanac Office. Crown Copyright, information supplied by HM Nautical Almanac Office and reproduced with the permission of the United Kingdom Hydrographic Office and Her Majesty's Stationery Office.Google Scholar
Zevering, K.H. (2003). The K-Z position solution for the double sight. European Journal of Navigation, 1(3), 43–46.Google Scholar