Roche Limit for Earth-like body around Earth-like body In a discussion elsewhere about binary planets, it came the question.

How near can a planet like Earth (maybe Earth itself) be to another planet like Earth before both of them tearing apart due to tidal forces?

In other words: Which is the Roche limit for Earth, if it were orbiting (another) Earth?
According to wikipedia, the roche limit for an object with the same density as the Moon would be around 10,000 kilometres. Since the density of the Earth is about 166% of that of the Moon, if you don't take the atmosphere, or oceans into account, then the binary planets could be much closer to each other. However, when you take into account the oceans, and atmosphere, it would probably be a lot further away.