Question

The eccentricity of a satellite’s orbit is $\frac{1}{3}$ . What would be the ratio of its maximum speed to its minimum speed in the orbit?

• A. $2:1$
• B. $7:4$
• C. $8:3$
• D. $5:3$

Answer 1

The correct option is A $2:1$

If $e$ is the eccentricity of the orbit, then the ratio of maximum speed to minimum speed is given by,

$\frac{v_{\text{max}}}{v_{\text{max}}}=\frac{1+e}{1-e}=\frac{\frac{4}{3}}{\frac{2}{3}}=2$

Hence, option $\left(a\right)$ is correct.