Question

A satellite is in an elliptic orbit around the earth with aphelion of $6 \mathrm { R } _ { \mathrm { E } }$ and perihelion of where is the radius of the earth., the ratio of the velocity of the satellite at apogee and perigee is.

• A. $\frac { 1 } { 2 }$
• B. $\frac { 1 } { 3 }$
• C. $\frac { 1 } { 4 }$
• D. $\frac { 1 } { 6 }$

Answer 1

Answer: (B)

$\frac { 1 } { 3 }$

Answer 2

According to law of conservations of angular

momentum.

Angular momentum at perigee = Angular momentum at apogee

Where m is the mass of the satellite