Two satellites of earth ${\mathrm{S}}_1 \mathrm{and} {\mathrm{S}}_2$, are moving in the same orbit. The mass of ${\mathrm{S}}_1$ is four times the mass of ${\mathrm{S}}_2$. Which one of the following statements is true?

Both period orbital speed of satellite ${\mathrm{v}}_{\mathrm{o}} = \sqrt{\frac{{\mathrm{GM}}_{\mathrm{E}}}{\mathrm{r}}} \mathrm{and}$time period of revolution of satellite, $\mathrm{T} = {\left[\frac{4{\mathrm{\pi }}^2{\mathrm{r}}^3}{{\mathrm{GM}}_{\mathrm{E}}}\right]}^{\frac{1}{2}}$ are independent of mass of satellite. Therefore orbital speed and time period of revolution of both the satellites are same. Hence, option (b) is correct.

The kinetic energy of satellite', $\mathrm{K} = \frac{{\mathrm{GM}}_{\mathrm{E}}\mathrm{m}}{2\mathrm{r}}$ and potential energy of a satellite, $\mathrm{U} = -\frac{{\mathrm{GM}}_{\mathrm{E}}\mathrm{m}}{\mathrm{r}}$

Both depend on mass of satellite, vary with mass of satellite.