I was thinking about how GPS satellites are stationary in space over a certain locality. You wouldn't want to blot out the sun all the time to any one place on earth. However, you could mitigate heat over specific areas everyday by unfurling Football field size mylar arrays over sections of earth. What would happen is this would create a cloud effect on earth that would move over the land depending upon the declination of the sun that day. So, over time different places below the football size mylar field would be shady. This shade would move as the sun moved that day and be sort of like a cloud from space. The effect would cover a large area on land because of the distance to space.
If you have ever been under a large plane when it flew overhead, likely the shady spot would move as quickly as the sun moved over the mylar football field sized cover. Groups of these mylar fields in space unfurled at a stationary place could cool regions that needed it on earth some and mitigate global warming to some degree for some areas.
Also, the mylar would reflect the sun over this football size area back into space and cause that much less heat to reach the ground. Since there is no wind that I know of at the elevation of GPS satellites I think once you placed something like this at a stationary point it would not take much maintenance at all to keep this stationary at the elevation of gps satellites or thereabout.
This is how in the book "Ringworld" they created night and day for Ringworld which is an imaginary alien designed structure circling a Sun in space like a gigantic circular ring ribbon circling the sun.
However, this could work in small patches every so often over the earth to reduce temperatures wherever necessary. I think this would be feasible for specific areas on earth and cost effective over time.
Another way to do this (I don't know the feasibility of this) would be to put such and array in orbit. In this way many countries would invest in something like this because it would then cool more random sections all over the earth.
Many nations might invest in something like this as literally all over earth over time would be cooled by this array in orbit.
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