Suppose Earth had a second moon, called Swisscheese, with an average orbital distance double Moon s and a mass about the same as the Moon s?
1) is Swisscheese orbital period shorter or longer than the moon?
2) The Moon s orbital period is about one month. Apply Kepler s 3rd law to find the approximate orbital period of Swisscheese. (Hint: If you form the ratio of the orbital distances of Swisscheese and the Moon, you can solve this problem with Kepler s original version of his third law rather than looking up all the numbers you d need to apply Newton s version of Kepler s third law.)