Stirlingengineforum.com

Idea
One LTD gamma running from solar drives the flywheel of a second LTD gamma stirling which acts in reverse as a heat pump to further cool one of the first engines surfaces, thus assisting the temperature differential of the first engine?
Work?

Theory yes, practice no, I think you would end up with about zero power out put, as (if) you can drive the cryocooler that will take all the power a LTD motor could produce. A motor designed to run on solar is not really an LTD motor, I,v run some of my high temp motors from solar, and managed on a good day to get more power from them than with the LPG burner. One motor, heated by a large freznel lens actually had a line etched across the hot cap by the heat of the sun through the lens.
Ian S C

I agree with Ian.

But I would like to mention the brilliant Stirling engine designer William Martini built a device known as the Stirling Cycle Amplifying Machine (1968). It was a very succesful design where the displacer was run from a discreet power source. It is not the same as what you suggest Crazyguy but it is not very much different.

By driving the displacer with an electric motor you can regulate the speed of the motor, but my idea of a Stirling Engine is that it should be self contained.
Ian S C