Imagine you have a space telescope that had temperature sensitive instruments. (Like the Spitzer Space Telescope).
In order to maintain a cool temperature - you want it always to orbit in the shadow of the Earth. (Ie a permanent Solar eclipse due to the Earth blocking it).
If every satellite needs to orbit at such a high orbit the Earth will always be too small to have an eclipse - I'll take that as an answer.
In addition, if you're that close to the earth that this causes the opposite temperature effect to what is desired, that's a valid answer too.
My question is: Can a Space Telescope Orbit so it was always in the shadow of the Earth?