If a planet orbiting around sun,then what is the Velocity of a Planet at Apogee and Perigee ???

Answers (1)

For the below figure

r_1=r_{p}=a-c

r_2=r_{a}=a+c

If Eccentricity is given by

 (e) = \frac{c}{a}

Then the velocity of the planet at Apogee and Perigee in terms of Eccentricity is given by

V_{a}=\sqrt{\frac{GM}{a}\left ( \frac{1-e}{1+e} \right )}

V_{p}=\sqrt{\frac{GM}{a}\left ( \frac{1+e}{1-e} \right )}

V_{A}= The velocity of the planet at apogee

V_{p}= Velocity \ of \ perigee

 

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