fhunter wrote: Sat Aug 27, 2011 2:08 pm
I need to calculate the size of the reflector, and thus the force which is applied to the reflector by the solar wind. After that we can judge, if the reflector can be made stable.
I approximately calculated required size of the "solar attenuator". L1 point lies some 1.5million km from earth, on the direction earth-sun. Earth-sun distance is 150 million km. So, if we consider the sun as a point, this reduces to simple proportion.
We get (150-1.5)*6371/150=6307.29 km radius. Almost the earth radius.
Now, let calculate light pressure force + solar wind pressure, working on this surface.
The surface we get is approximately 1.25*10^14 square meters.
We have two external forces working on it:
solar wind pressure, (3.4*10^-9 N/m^2 at earth orbit)
light pressure, (4.57*10^-6 N/m^2 at earth orbit, for ideal black surface, twice this amount for reflective surface).
I calculated the force of about 1.143 Giga Newtons, in case of fully reflective surface. The real amount of force would be few orders less (we don't want to cause global freezing, are we?)
Now, second thing - stability, L1 and L2 points are dynamically unstable, so there would be need to correct orbit. But on the other hand, we potentially have up to 1.1GN of thrust for this orbit correction.