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 but of materials of the same mean density as the actual material of planet and the sun has. The new orbital period is. |
$\eta T_0$ $\eta^2 T_0$ $\eta^3 T_0$ $T_0$ |
$T_0$ |
$T^2=4 \pi^2\left(\frac{r^3}{GM}\right)$ |