A method is described to stabilize a reflector in the upper atmosphere to reflect solar irradiance before it can be absorbed or scattered by Earth's atmosphere or surface. Thin reflective sheets are flown under control in the upper atmosphere above Earth, in contrast to reflecting from Space orbits or the ground. The high altitude enables nearly total reflection. This invention uses rotational motion to hold sheets stretched by centrifugal means while enabling the generation of aerodynamic lift. During the daytime solar power is used to store rotational and potential energy. During the night the low disc loading of the rotor system facilitates gliding flight without descending into controlled airspace.