A question about something related:
As we all know, the moon is much smaller than us, but sits far enough away that it can block the entire sun when its orbit and the sun’s coincide. I assume there is a spot between the moon and the sun where a much smaller object, say a sphere 200 feet across, would also block all of the sun’s rays. How far away would something like that have to be? My interest is more in the nature of a science fiction idea—a future where one country would have the ability to block the sun from another country any time they wanted, and could use that ability to threaten.
Keep your day job.
Celestial Mechanics is not your forte...