jlabrasca
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Thinking into the future - perhaps sci-fi, but hopefuly eventually -- hundreds or thousands mirrors connected into a " Dyson Ring " in solar orbit would essentially stabilize itself so the mirrors could be aimed mechanically and almost no need for "positioning"
I totally missed this one.
It is called a Niven Ring (or a Polyakov Ring for a non-rigid arrangement of tethered structures https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19780010146.pdf).
Such structures are, famously, unstable.
https://www.popularmechanics.com/space/deep-space/a11183/could-we-build-a-ringworld-17166651/
also
https://en.wikipedia.org/wiki/The_Ringworld_Engineers#Plot_summary
Your choices for locating a mirror in solar orbit so that it is always in the same position with respect to the other thing in solar orbit that you want to illuminate are -- really -- only the trojan points L4 and L5 (the antipodal point L3 is stable, but the sun would always be in the way).
For a mirror in orbit around the earth, if you want to keep the mirror in the same place in the sky, you've only got the geostationary orbit.
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