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<H2><A NAME="SECTION001343000000000000000">
5.4.3 Universal Transverse Mercator UTM (<B>-Ju</B> <B>-JU</B>)</A>
</H2> 
<A NAME="7941"></A>
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<P>
A particular subset of the transverse Mercator is the
Universal Transverse Mercator (UTM) which was adopted
by the US Army for large-scale military maps.  Here, the
globe is divided into 60 zones between 84<IMG
 WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="img61.gif"
 ALT="$^{o}$">S and
84<IMG
 WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="img61.gif"
 ALT="$^{o}$">N, most of which are 6<IMG
 WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="img61.gif"
 ALT="$^{o}$"> wide.  Each of
these UTM zones have their unique central meridian.
<A NAME="tex2html329"
  HREF="http://www.soest.hawaii.edu/gmt"><B>GMT</B></A> implements both the transverse Mercator and the
UTM projection.  When selecting UTM you must specify:

<P>
<DL>
<DD><P>
</DD>
<DT><STRONG><IMG
 WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img54.gif"
 ALT="$\bullet$"></STRONG></DT>
<DD>UTM zone (1-60).  Use negative value for zones in the southern hemisphere

<P>
</DD>
<DT><STRONG><IMG
 WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img54.gif"
 ALT="$\bullet$"></STRONG></DT>
<DD>Scale along the equator in inch/degree or 1:xxxxx (<B>-Ju</B>), or map width (<B>-JU</B>)

<P>
</DD>
</DL> 

<P>
In order to minimize the distortion in any given zone,
a scale factor of 0.9996 has been factored into the formulae.
The scale only varies by 1 part in 1,000 from true scale at
equator.  The ellipsoidal projection expressions are accurate for map areas
that extend less than 10<IMG
 WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="img61.gif"
 ALT="$^{o}$"> away from the central meridian.  For
larger regions we use the conformal latitude in the general spherical
formulae instead.

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<ADDRESS>
Paul Wessel
2001-04-18
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