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

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

Options :

(a) GmM(1/R1^2-1/R2^2)
(b) GmM(1/R1-1/R2)
(c) 2GmM(1/R1-1/R2)
(d) 1/2 GmM(1/R1-1/R2)

Answer :

(d) 1/2 GmM(1/R₁-1/R₂)

Answer Steps :

step 1

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