Question
Satellite $A$ is in a certain circular orbit about a planet, while satellite $B$ is in a larger circular orbit. Which satellite has $(i)$ the longer period and $(ii)$ the greater speed?
✓
Answer
- $\text{T}=2\pi\sqrt{\frac{\text{r}}{\text{GM}}}$
$\therefore$ Satellite B has longer period.
- $\text{v}_{\text{o}}=\sqrt{\frac{\text{GM}}{\text{r}}},$ lesser $r, $ more $v_o$
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