Non-iterative Determination of Latitude and Longitude from Either Time or Phase Differences

Authors

  • Andrew C. Campbell U.S. Naval Oceanographic Office

Abstract

A method for the determination of latitude and longitude from hyperbolic coordinates is presented in this article. The hyperbolas may be expressed in either time differences or phase differences. The solution may be for two systems of curves having a common master station, or it may be for two independent systems each having its own master station. The new solution is compared to the iterative solution and, like this solution, an initial approximation for position is also required. Unlike the iterative solution, the initial approximation has little effect on the results in the non-iterative method, providing that the approximation is within three miles. More accurate transformations are obtained with less computer time.

Downloads

Published

2018-03-21

How to Cite

Campbell, A. C. (2018). Non-iterative Determination of Latitude and Longitude from Either Time or Phase Differences. The International Hydrographic Review, 6. Retrieved from https://journals.lib.unb.ca/index.php/ihr/article/view/26335

Issue

1965: Supplement to the IHR, Volume 6

Section

Theoretical Studies

License

Copyright

Any permission needed to incorporate material published elsewhere is the responsibility of the authors and it will be assumed that such permission has been maintained.

Authors should also bear the following points in mind:

  1. The title should be concise and reflect the subject matter
  2. Long passages of text should be avoided by the appropriate use of sub-titles
  3. References, which should include only publications cited, should be referenced in the text, thus (Smith, 1988), and be listed alphabetically in the Reference section conforming to the Harvard style. Some typical examples follow:

(i) References from Journals:
 Anders, F.J. and Byrnes, M.R.(1991). “Accuracy of shoreline change rates as determined from maps and aerial photographs”, Shore and Beach, 59, pp. 17-26.

(ii) References from Books:
Foley, J.D., van Dam, A., Feiner, S. K. and Hughes, J.F. (1990), Computer Graphics – Principles and Practice, 2nd ed., Addison-Wesley, Reading, MA.

(iii) References from the technical material or research   literature: 
Smith, A. (1988). Colour photomapping. Report NRC-01-512. National Research Centre. Ottawa, Canada.

(iv) References from a web site:
desJardins, M. (2005). How to succeed in postgraduate  study, Applied Ecology Research Group, University of Canberra, viewed 26 April 2009, http://aerg.canberra.edu.au/jardins.t.htm.

Please note that articles will be returned to Authors who do not conform to the IHR referencing policy.

Certain articles, especially those dealing with historical aspects, may well have to quote unpublished, archival or 'cumbersome' material, some of which may require further explanation in note form. In such cases referred material can be cited using numbered superscripts in the text and the list of references thus replaced by a section headed 'Notes' in which explanation of the superscripts is given. Material which has been consulted but not specifically referred to in the text can be included in a separate 'Bibliography'.

Please note that references will not be checked by the Editor and the responsibility for the accuracy rests solely with the author(s).