Converting UTM (wsg84) coordinates to Latitude and Longitude

Question

I\'ve been searching for a while now (here and on google obviously) for a neat way to convert a set of UTM coordinates to Latitude and Longitude. I\'ve got the coordinates a

Answer 1

Checkout CoordinateSharp on NuGet. It's really easy to do this with it.

 //Example
 UniversalTransverseMercator utm = new UniversalTransverseMercator("Q", 14, 581943.5, 2111989.8);
 Coordinate c = UniversalTransverseMercator.ConvertUTMtoLatLong(utm);

Answer 2

There is c++ code available on this website: http://www.gpsy.com/gpsinfo/geotoutm/

Go down the page a bit to the "Source Code" heading, and look for these files at the bottom:

Chuck Gantz

Enclosures: LatLong-UTMconversion.cpp (view online as text file) LatLong-UTMconversion.h (view online as text file) UTMConversions.cpp (view online as text file) SwissGrid.cpp (view online as text file) constants.h (view online as text file)

e.g. the first file links to: www.gpsy.com/gpsinfo/geotoutm/gantz/LatLong-UTMconversion.cpp etc

There are functions here for going both ways: UTM to Lat Long, and vice versa. If you look elsewhere, there are python versions of this code. e.g. at code.google.com/p/pys60gps/source/browse/trunk/lib/LatLongUTMconversion.py?r=246

There are also c# versions of some of it: at mediakey.dk/~cc/convert-northing-and-easting-utm-to-longitude-and-latitude/

Good luck.

Answer 3

Use this code:

     public static void UTMToLatLon(double Easting, double Northing, double Zone, double Hemi, out double latitude, out double longitude)
    {
        double DtoR = Math.PI / 180, RtoD = 180 / Math.PI;
        double a = 6378137, f = 0.00335281066474748071984552861852, northernN0 = 0, southernN0 = 10000000, E0 = 500000, 
            n = f / (2 - f), k0 = 0.9996,
            A = a * (1 + (1 / 4) * Math.Pow(n, 2) + (1 / 64) * Math.Pow(n, 4) + (1 / 256) * Math.Pow(n, 6) + (25 / 16384) * Math.Pow(n, 8) + (49 / 65536) * Math.Pow(n, 10)) / (1 + n),             
            beta1 = n / 2 - (2 / 3) * Math.Pow(n, 2) + (37 / 96) * Math.Pow(n, 3) - (1 / 360) * Math.Pow(n, 4) - (81 / 512) * Math.Pow(n, 5) + (96199 / 604800) * Math.Pow(n, 6) - (5406467 / 38707200) * Math.Pow(n, 7) + (7944359 / 67737600) * Math.Pow(n, 8) - (7378753979 / 97542144000) * Math.Pow(n, 9) + (25123531261 / 804722688000) * Math.Pow(n, 10), 
            beta2 = (1 / 48) * Math.Pow(n, 2) + (1 / 15) * Math.Pow(n, 3) - (437 / 1440) * Math.Pow(n, 4) + (46 / 105) * Math.Pow(n, 5) - (1118711 / 3870720) * Math.Pow(n, 6) + (51841 / 1209600) * Math.Pow(n, 7) + (24749483 / 348364800) * Math.Pow(n, 8) - (115295683 / 1397088000) * Math.Pow(n, 9) + (5487737251099 / 51502252032000) * Math.Pow(n, 10), 
            beta3 = (17 / 480) * Math.Pow(n, 3) - (37 / 840) * Math.Pow(n, 4) - (209 / 4480) * Math.Pow(n, 5) + (5569 / 90720) * Math.Pow(n, 6) + (9261899 / 58060800) * Math.Pow(n, 7) - (6457463 / 17740800) * Math.Pow(n, 8) + (2473691167 / 9289728000) * Math.Pow(n, 9) - (852549456029 / 20922789888000) * Math.Pow(n, 10), 
            beta4 = (4397 / 161280) * Math.Pow(n, 4) - (11 / 504) * Math.Pow(n, 5) - (830251 / 7257600) * Math.Pow(n, 6) + (466511 / 2494800) * Math.Pow(n, 7) + (324154477 / 7664025600) * Math.Pow(n, 8) - (937932223 / 3891888000) * Math.Pow(n, 9) - (89112264211 / 5230697472000) * Math.Pow(n, 10),
            beta5 = (4583 / 161280) * Math.Pow(n, 5) - (108847 / 3991680) * Math.Pow(n, 6) - (8005831 / 63866880) * Math.Pow(n, 7) + (22894433 / 124540416) * Math.Pow(n, 8) + (112731569449 / 557941063680) * Math.Pow(n, 9) - (5391039814733 / 10461394944000) * Math.Pow(n, 10),
            beta6 = (20648693 / 638668800) * Math.Pow(n, 6) - (16363163 / 518918400) * Math.Pow(n, 7) - (2204645983 / 12915302400) * Math.Pow(n, 8) + (4543317553 / 18162144000) * Math.Pow(n, 9) + (54894890298749 / 167382319104000) * Math.Pow(n, 10),
            beta7 = (219941297 / 5535129600) * Math.Pow(n, 7) - (497323811 / 12454041600) * Math.Pow(n, 8) - (79431132943 / 332107776000) * Math.Pow(n, 9) + (4346429528407 / 12703122432000) * Math.Pow(n, 10),
            beta8 = (191773887257 / 3719607091200) * Math.Pow(n, 8) - (17822319343 / 336825216000) * Math.Pow(n, 9) - (497155444501631 / 1422749712384000) * Math.Pow(n, 10),
            beta9 = (11025641854267 / 158083301376000) * Math.Pow(n, 9) - (492293158444691 / 6758061133824000) * Math.Pow(n, 10),
            beta10 = (7028504530429621 / 72085985427456000) * Math.Pow(n, 10),
            delta1 = 2 * n - (2 / 3) * Math.Pow(n, 2) - 2 * Math.Pow(n, 3), 
            delta2 = (7 / 3) * Math.Pow(n, 2) - (8 / 5) * Math.Pow(n, 3), 
            delta3 = (56 / 15) * Math.Pow(n, 3),
            ksi = (Northing / 100 - northernN0) / (k0 * A), eta = (Easting / 100 - E0) / (k0 * A),
            ksi_prime = ksi - (beta1 * Math.Sin(2 * ksi) * Math.Cosh(2 * eta) + beta2 * Math.Sin(4 * ksi) * Math.Cosh(4 * eta) + beta3 * Math.Sin(6 * ksi) * Math.Cosh(6 * eta) + beta4 * Math.Sin(8 * ksi) * Math.Cosh(8 * eta) + beta5 * Math.Sin(10 * ksi) * Math.Cosh(10 * eta) + 
                        beta6 * Math.Sin(12 * ksi) * Math.Cosh(12 * eta) + beta7 * Math.Sin(14 * ksi) * Math.Cosh(14 * eta) + beta8 * Math.Sin(16 * ksi) * Math.Cosh(16 * eta) + beta9 * Math.Sin(18 * ksi) * Math.Cosh(18 * eta) + beta10 * Math.Sin(20 * ksi) * Math.Cosh(20 * eta)),
            eta_prime = eta - (beta1 * Math.Cos(2 * ksi) * Math.Sinh(2 * eta) + beta2 * Math.Cos(4 * ksi) * Math.Sinh(4 * eta) + beta3 * Math.Cos(6 * ksi) * Math.Sinh(6 * eta)),
            sigma_prime = 1 - (2 * beta1 * Math.Cos(2 * ksi) * Math.Cosh(2 * eta) + 2 * beta2 * Math.Cos(4 * ksi) * Math.Cosh(4 * eta) + 2 * beta3 * Math.Cos(6 * ksi) * Math.Cosh(6 * eta)),
            taw_prime = 2 * beta1 * Math.Sin(2 * ksi) * Math.Sinh(2 * eta) + 2 * beta2 * Math.Sin(4 * ksi) * Math.Sinh(4 * eta) + 2 * beta3 * Math.Sin(6 * ksi) * Math.Sinh(6 * eta),
            ki = Math.Asin(Math.Sin(ksi_prime) / Math.Cosh(eta_prime));

        latitude = (ki + delta1 * Math.Sin(2 * ki) + delta2 * Math.Sin(4 * ki) + delta3 * Math.Sin(6 * ki)) * RtoD;
        double longitude0 = Zone * 6 * DtoR  - 183 * DtoR ;
        longitude = (longitude0 + Math.Atan(Math.Sinh(eta_prime) / Math.Cos(ksi_prime))) * RtoD;
    }

This code is far more Accurate than others.

Answer 4

I made a port from a javascript library to C#, I have tested it and works perfectly, you can take a look at it here.

Answer 5

If you want to roll your own functions, you can find a lot of useful information in this page:

http://www.colorado.edu/geography/gcraft/notes/coordsys/coordsys.html

I have a couple of functions to convert between lat-lon and UTM (both ways), but they are a bit long to write here.

Answer 6

Take a look at this .NET library http://projnet.codeplex.com/ . This should help in your case