Question

A body orbitting around earth at a mean radius which is two times as great as the parking

orbit of a satellite. The period of the body is

Answer 1

$$\begin{gathered} \mathrm{From}\mathrm{Kepler}\text{'}\mathrm{s}\mathrm{law}, \\ {\mathrm{T}}^2\mathrm{\alpha }{\mathrm{R}}^3 \\ \mathrm{Or}\mathrm{T\alpha }{\mathrm{R}}^{3/2} \\ \mathrm{Since}\mathrm{R}\mathrm{is}\mathrm{increased}\mathrm{by}\mathrm{a}\mathrm{factor}\mathrm{of}2,\mathrm{therefore}\mathrm{Time}\mathrm{period}\mathrm{T}\mathrm{is}\mathrm{increased}\mathrm{by}\mathrm{a}\mathrm{factor}\mathrm{of}{2}^{3/2}\mathrm{or}2\sqrt{2}. \end{gathered}$$