A satellite is in an elliptical orbit around a planet P . It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less than that when it is closest to the plan

Question

A satellite is in an elliptical orbit around a planet $P .$ It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less than that when it is closest to the planet. The ratio of distances between the satellite and the planet at closest and farthest points is :

Question diagram: A satellite is in an elliptical orbit around a planet P . It

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Answer:

A

Solution:

From angular momentum conservation

${mV}_{1} r_{1} = {mV}_{2} r_{2}$

$\frac{r_{1}}{r_{2}} = \frac{v_{2}}{v_{1}} = \frac{1}{6}$

$1 : 6$

TestHub · Accepted Answer

From angular momentum conservation mV 1 r 1 = mV 2 r 2 r 1 r 2 = v 2 v 1 = 1 6 1 : 6

Physics - Gravitation Question with Solution | TestHub

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