A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g₀ , the value of acceleration due to gravity at the earth's surface, is :

• A

  $\frac{2{\mathrm{mg}}_0{\mathrm{R}}^2}{\mathrm{R}+\mathrm{h}}$

• B

  $-\frac{2{\mathrm{mg}}_0{\mathrm{R}}^2}{\mathrm{R}+\mathrm{h}}$

• C

  $\frac{{\mathrm{mg}}_0{\mathrm{R}}^2}{2(\mathrm{R}+\mathrm{h})}$

• D

  $-\frac{{\mathrm{mg}}_0{\mathrm{R}}^2}{2(\mathrm{R}+\mathrm{h})}$