The orbital period of revolution of a planet round the sun is T0. Suppose we make a model of solar system scaled down in the ratio η (i.e. all linear dimensions are reduced by a factor η > 1), but of materials of the same mean density as the actual material of planet and the sun. The new orbital period is
1
ηT0
2
η2 T0
3
η3 T0
4
T0