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Question

Planet moves in an elliptical orbit around one of the foci. The ratio of maximum velocity Vmax and minimum velocity Vmin ansd eccentricity e of the ellipse is given by

A
1e1+e
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B
eee+e
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C
1+e1e
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D
eee
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Solution

The correct option is C 1+e1e

from the kepler's law of orbit.

Ra=a(1+e)Rp=a(1e)

From the conservation of angular momentum

mvaRa=mvpRp

vmaxvmin=vpva=RaRp=1+e1e

Hence, the ratio is 1+e1e


1052846_1167245_ans_f2bb1d4b432e40db8ee6e3a2fbaa197b.jpg

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