If you have Xara Web Designer then this is the approach I would have used.
I would take a flat map and slice in into 24 thin rectangles.
I would clone it across a number of pages and on each page move the leftmost rectangle to the right hand side.
I would then take the 12 left slices and put them in a Circular Envelope using the Mould tool.

I would then assemble the 24 images into an animated gif.

I've not used Xara 3D maker for such a long time so I can only imagine the hard work you did to get your globe.

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Acorn