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Conversion Between UTM and WGS84


J&K Together

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How much math do you want to do?

 

http://www.uwgb.edu/dutchs/UsefulData/UTMFormulas.HTM

 

Converting Latitude and Longitude to UTM

 

All angles are in radians.

 

y = northing = K1 + K2p2 + K3p4, where

 

* K1 = Sk0,

* K2 = k0sin21" nu sin(lat)cos(lat)/2

* K3 = [k0sin41" nu sin(lat)cos3(lat)/24][(5 - tan2(lat) + 9e'2cos2(lat) + 4e'4cos4(lat)]

 

x = easting = K4p + K5p3, where

 

* K4 = k0sin1" nu cos(lat)

* K5 = (k0sin31" nu cos3(lat)/6)[1 - tan2(lat) + e'2cos2(lat)]

 

Easting x is relative to the central meridian. For conventional UTM easting add 500,000 meters to x.

 

Converting UTM to Latitude and Longitude

 

y = northing, x = easting (relative to central meridian; subtract 500,000 from conventional UTM coordinate).

 

But that guy has a spreadsheet available to do the calcuations.

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First lesson is to know the difference between coordinates and datums. UTM is a coordinate system (like lat/long) and WGS84 is a datum. Coordinates will use different datums. A datum defines the shape of the earth. So if you want to learn how to convert between datums such as NAD 27 and WGS84, there are some online resources that do this automatically for you or show you the long drawn out version that will use your noddle, pen and paper. The easiest is to use the GC.com cache page, in the box in the middle of the page right by the lat/long of the cache, you will see, "other conversions".

 

This site has some very good resources. Explanation of Datums, etc.

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