$A$ planet is revolving around the sun in an elliptical orbit. Its closest distance from the sun is $r_{min}$,and the farthest distance from the sun is $r_{max}$. If the orbital angular velocity of the planet when it is nearest to the sun is $\omega$,then the orbital angular velocity at the point when it is at the farthest distance from the sun is:

  • A
    $\sqrt{\frac{r_{min}}{r_{max}}} \omega$
  • B
    $\sqrt{\frac{r_{max}}{r_{min}}} \omega$
  • C
    $\frac{r_{max}^2}{r_{min}^2} \omega$
  • D
    $\frac{r_{min}^2}{r_{max}^2} \omega$

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