OK, so my physics teacher posed this question, which is completely theoretical, but I'd like to figure out: There are two space ships orbiting the earth, Spaceship A and Spaceship B. Spaceship B's orbit is larger than A's, and thus goes it slower. An ignorant scientist attaches a giant spring to the ships in order to make them orbit at the same speed. The idea being that the force of the spring wanting to coil will pull Spaceship B and make it orbit faster (while maintaining is orbital distance). Why wont this work?
The question has to do with moons and how they orbit. Any help would be appreciated, especially laws etc. that explain why this is impossible. Thanks