# How to use the orbital speed equation for more than one satellite orbitting a planet? [closed]

I am having trouble in applying the orbital speed, $$v=\sqrt{\frac{GM}{r}}$$ in the following problem stated below.Usually we have one satellite orbitting one planet.But in this case there are two satellites orbitting in different orbits,thus i am confused how to crack it.The question is:

Two satellites named $$\alpha$$ and $$\beta$$ both of mass m are orbiting around a large mass $$M$$ in circular orbits having radius $$R_1$$ and $$2R_1$$ respectively. Initially,the satellites are connected by a massless string. After some time,the string is cut. Find the ratio of velocities of the satellite $$\alpha$$ before to after cutting the string, i.e. how much will the velocity of $$\alpha$$ increase/decrease after cutting the string?

Anyone with some intuitive hints?

• @Ghoster edited. Now can u help? Oct 1 at 4:17
• It seems like a poorly posed question. If you released them like that (and even that would depend on where and how you released them), the inner one would immediately try to pull ahead of the outer one, resulting in a very complex spiral motion that I'm sure you'd need a computer to solve. Oct 1 at 7:44