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<H2><A NAME="SECTION001352000000000000000">
5.5.2 Mollweide Projection (<B>-Jw</B> <B>-JW</B>)</A>
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<P>
<A NAME="8983"></A>
<A NAME="8971"></A>
<A NAME="8984"></A>
<P>
This pseudo-cylindrical, equal-area projection was developed
by Mollweide in 1805. Parallels are unequally spaced straight
lines with the meridians being equally spaced elliptical arcs.
The scale is only true along latitudes 40<IMG
WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img61.gif"
ALT="$^{o}$">44' north and south.
The projection is used mainly for global maps showing data
distributions. It is occasionally referenced under the name
homalographic projection. Like the Hammer projection,
outlined above, we need to specify only two parameters to
completely define the mapping of longitudes and latitudes
into rectangular <I>x</I>/<I>y</I> coordinates:
<P>
<DL>
<DD><P>
</DD>
<DT><STRONG><IMG
WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img54.gif"
ALT="$\bullet$"></STRONG></DT>
<DD>The central meridian
<P>
</DD>
<DT><STRONG><IMG
WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img54.gif"
ALT="$\bullet$"></STRONG></DT>
<DD>Scale along equator in inch/degree or
1:xxxxx (<B>-Jw</B>), or map width (<B>-JW</B>)
<P>
</DD>
</DL>
<P>
An example centered on Greenwich can be generated thus:
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<PRE>
#!/bin/sh
# $Id: GMT_mollweide.sh,v 1.1 2001/03/21 04:10:21 pwessel Exp $
#
pscoast -R-180/180/-90/90 -JW0/4.5i -Bg30/g15 -Dc -A10000 -G0 -P > GMT_mollweide.ps
</PRE>
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<P></P>
<DIV ALIGN="CENTER"><A NAME="fig:GMT_mollweide"></A><A NAME="9109"></A>
<TABLE>
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 5.27:</STRONG>
World map using the Mollweide projection</CAPTION>
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WIDTH="520" HEIGHT="261" BORDER="0"
SRC="img89.gif"
ALT="\begin{figure}\centering\epsfig{figure=eps/GMT_mollweide.eps}\end{figure}"></TD></TR>
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<ADDRESS>
Paul Wessel
2001-04-18
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