Physics · GRAVITATION

A planet moves in an elliptical orbit around the Sun. If the speed of the planet at perihelion (distance \( r_P \)) is \( v_P \), what is its speed \( v_A \) at aphelion (distance \( r_A \))?

1. A
   \( v_P (\frac{r_P}{r_A}) \)
2. B
   \( v_P (\frac{r_A}{r_P})^2 \)
3. C
   \( v_P (\frac{r_A}{r_P}) \)
4. D
   \( v_P \sqrt{\frac{r_P}{r_A}} \)