What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?

Engineering

Physics

Gravitational Potential Energy

Artificial Satellites

Question

What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?

A

$\frac{5 GmM}{6 R}$

B

$\frac{2 GmM}{3 R}$

C

$\frac{GmM}{2 R}$

D

$\frac{GmM}{3 R}$

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Required energy $- \frac{GMm}{R} = \frac{- GMm}{6 R}$