Cs6 how to make 2d map come out of 3d earth

Hiya.
I have a pic of earth...like this...
and a map graphic like this...
the background of both images is alpha ( transparent ). I wanna put the map over the earth and bend it so it conforms to the earth shape kinda close to the the scale and position the earth pic shows...
Then ( using scale position etc ) I basically dip to black for the earth pic and bring up the map graphic as it sorta gets lifted off the surface of that earth pic.
In other words, we start tight on the earth like you see...and this map pic conforms to that ( even though it's not visible yet ). Now I dip to black on earth pic and bring map pic UP to visible at same time ( sorta a cross dissolve..)
At the SAME time ( over about 10 secs ) I now am changing the scale of BOTH so that I end up seeing the pic of map graphic in the end...and no earth pic at all.
But I want to go from the map graphic being conformed to the curvature of the earth pic.. to the flat 2d end pic you see here at the same time.
Basically, we see earth, we start to see earth fade as map ( which matches curvature of earth and scale ) comes up...and then the whole transition also scales DOWN so that in end of 10 secs or so.. we see the end pic of map graphic.
I am a new AE user.
thanks !

You should start with two orthographic images, one a map, one the earth:
http://awka.sourceforge.net/Day_lrg.jpg
Line them up, apply both as textures for a CC Sphere. You'll end up with two sphere layers. Put the map on the top copy.
Animate opacity of the Map Sphere and start pushing in on both layers.
Add a copy of your map layer as a flat 2D layer. Add the bulge effect and line up the image so it matches the map on the sphere.
Animate opacity and the bulge effect and move your map layer into position.
There are dozens of ways to do what you want, this is only one idea.

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