# What is the minimum

Question:

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

1. $\frac{5 \mathrm{GmM}}{6 \mathrm{R}}$

2. $\frac{2 G m M}{3 R}$

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

4. $\frac{\mathrm{GmM}}{3 \mathrm{R}}$

Correct Option: 1

Solution: