[Proj] The area of a rhumb line polygon
Charles Karney
charles.karney at sri.com
Tue Dec 16 08:14:51 EST 2014
The calculation of the area of a geodesic polygon has been included in
GeographicLib since v1.4 (2010-09).
In the latest version v1.39, I've also included the equivalent
calculation when the edges of the polygon are rhumb lines. The
formulation is given in
http://geographiclib.sf.net/html/rhumb.html#rhumbarea
and the online planimeter
http://geographiclib.sf.net/cgi-bin/Planimeter
implements this area calculation. I've also worked out the area when
the edges are great ellipses. For the formulation, see
http://geographiclib.sf.net/html/greatellipse.html#gearea
An implementation is included in the Matlab package
http://www.mathworks.com/matlabcentral/fileexchange/47898
Comments are welcome.
--Charles
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