map shows only in EPSG:4326 - how to use different projections?

[AA BB]

Hello,

I have a rectangular gif world map and would like to
see it in other projections such as mollweide, etc.
My question is why is mapserver not showing a
rectangular image map (raster), a gif file basically,
in another given projection other than EPSG:4326? How
can I get it to do that, (or is it not implemented)?

Details:

I installed the latest ms4w 5.0 (2.2.6 release from
maptools.org)
and I have a NASA Blue Marble rectangular gif of the
whole world and can see it perfectly when requesting
EPSG:4326, however, I would like to be able to also
see it in other projections. I tried the mollweide
projection, which is defined as 54009 in the
proj/nad/epsg file. When I request EPSG:54009 I see a
filled blue featureless rectangle. I am not sure what
I am doing wrong, or what I may be missing and would
like to know.

According to the instructions for map projection, the
LAYER should specify the input projection, EPSG:4326
in this case, and the MAP should specify the output
projection, EPSG:54009 in this case. My mapfile does
just that, and I expected to see an elliptical-shaped
mollweide projection of the rectangular NASA Blue
Marble map yet only a blue rectangle shows up. Here is
my request:

http://localhost/cgi-bin/mapserv.exe?map=/ms4w/mapfile.map&service=wms&version=1.1.1&request=getmap&layers=modis1&bbox=-180,-90,180,90&width=800&height=400&format=image/gif&styles=&srs=epsg:4326

notice that if epsg:4326 at the end is replaced with
epsg:54009 to get the mollweide projection, then it
doesn't appear to work - there is no error but there
is only a blue rectangle, but the request as is with
epsg:4326 gives the original rectangular map of the
whole world from -180 to 180 longitude and from -90 to
90 latitude, same as looking directly at the gif in an
image viewer.
Here is my mapfile:

MAP

NAME myserver
IMAGETYPE gif
SIZE 800 400
IMAGECOLOR 205 205 255
SHAPEPATH "/ms4w/data"
EXTENT -180 -90 180 90

# CONFIG "PROJ_LIB" "/ms4w/proj/nad/"
# CONFIG "GDAL_DATA" "/ms4w/gdaldata/"

WEB
IMAGEPATH "/ms4w/tmp/ms_tmp/"
IMAGEURL "/ms_tmp/"
METADATA
"wms_title" "WMS Demo Server" ##REQUIRED - generates
warning in xml output if missing
END
END

PROJECTION
  "init=epsg:54009" # trying mollweide server output
projection
END

LAYER
  NAME modis1
  DATA modis1.gif
  TYPE RASTER
  STATUS OFF
# PROCESSING "LOAD_WHOLE_IMAGE=TRUE"
  PROJECTION
    "init=epsg:4326" # standard WGS 84 input
projection
  END
  METADATA
    "wms_title" "NASA Blue Marble"
    "wms_srs" "EPSG:4326 EPSG:54009" # list both input
and output projections as supported to avoid error
    "wms_extent" "-180 -90 180 90"
  END
END

END

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