Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Geographic coordinate conversion
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==== Simple iterative conversion for latitude and height ==== The conversion for the latitude and height involves a circular relationship involving ''N'', which is a function of latitude: :<math>\frac{Z}{p} \cot \phi = 1 - \frac{e^2 N}{N + h}</math>, :<math>h=\frac{p}{\cos\phi} - N</math>. It can be solved iteratively,<ref name=osgb>A guide to coordinate systems in Great Britain. This is available as a pdf document at {{cite web|url=http://www.ordnancesurvey.co.uk/oswebsite/gps/information/coordinatesystemsinfo/guidecontents |title=ordnancesurvey.co.uk |access-date=2012-01-11 |url-status=dead |archive-url=https://web.archive.org/web/20120211075826/http://www.ordnancesurvey.co.uk/oswebsite/gps/information/coordinatesystemsinfo/guidecontents/ |archive-date=2012-02-11 }} Appendices B1, B2</ref><ref name=osborne>Osborne, P (2008). [http://mercator.myzen.co.uk/mercator.pdf The Mercator Projections] {{webarchive|url=https://web.archive.org/web/20120118224152/http://mercator.myzen.co.uk/mercator.pdf |date=2012-01-18 }} Section 5.4</ref> for example, starting with a first guess ''h''β0 then updating ''N''. More elaborate methods are shown below. The procedure is, however, sensitive to small accuracy due to <math>N</math> and <math>h</math> being maybe 10{{sup|6}} apart.<ref>[https://web.archive.org/web/20080920155754/http://www.ferris.edu/faculty/burtchr/papers/cartesian_to_geodetic.pdf R. Burtch, A Comparison of Methods Used in Rectangular to Geodetic Coordinate Transformations.]</ref><ref>{{cite journal |last1=Featherstone |first1=W. E. |last2=Claessens |first2=S. J. |title=Closed-Form Transformation between Geodetic and Ellipsoidal Coordinates |journal=Stud. Geophys. Geod. |volume=52 |issue=1 |pages=1β18 |year=2008 |doi=10.1007/s11200-008-0002-6 |bibcode=2008StGG...52....1F |hdl=20.500.11937/11589 |s2cid=59401014 |hdl-access=free }}</ref> <!-- There are several methods that solve the equation; two are shown. -->
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)