Ok so this is silly and purely hypothetical... I am under the impression that should we ever decide to construct a space elevator we would need a pretty large mass on the space side of things. and that is one of the hurtles to making one. I am wondering if we have the capability to "catch" one of these near earth asteroids. i guess we would not have to use it for a space elevator a bunch of studies could be done with just an asteroid in oribit. but the space elevator was what prompted the thought.