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Question
The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R1 to another of radius R2(R2 > R1) is
GmM $\left( {{1 \over {R_1^2}} - {1 \over {R_2^2}}} \right)$
GmM $\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$
2GmM $\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$
${1 \over 2}$GmM $\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$

Solution

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