The energy required to move a satellite of mass m from an orbit of radius 2 R to 3 R around earth of

Question

The energy required to move a satellite of mass m from an orbit of radius 2 R to 3 R around earth of mass $M$ is\

Professor PC Thomas Classes · Answer

Energy required $=$ Total energy (final) - Total energy (initial)\ $=-\frac{\mathrm{GMm}}{2(3 \mathrm{R})}-\left(-\frac{\mathrm{GMm}}{2(2 \mathrm{R})}ight)=\frac{\mathrm{GMm}}{4 \mathrm{R}}-\frac{\mathrm{GMm}}{6 \mathrm{R}}=\frac{\mathrm{GMm}}{12 \mathrm{R}}$